Thursday, 22 March 2018

NML,DML,DCS&DSC 2017-18 INTERNAL MARKS

Hi good evening students NML,DML,DCS &DSC Students for Papaer-IV, Paper-VII and Paper-VIIIB 1st Mid, 2nd Mid, Assignments Marks and Lab Internal Marks please click the following link.
2017-18 Batch students even semester internal marks

Thursday, 26 October 2017

HCU Entrance Old Papers For Maths, Statistics,Physics and Economic students

For HCU entrance examination old papers please click the following link
HCU Old Papers

Department of statistics syllabus for degree students.

ANDHRA LOYOLA COLLEGE: VIJAYAWADA
DEPARTMENT OF STATISTICS
BATCH 2015-18


SEMESTER

PAPER NO

MAJOR/ ELECTIVE

TITLE

SUBJECT CODE

CREDITS
I
1
Major
Descriptive Statistics and theory of Probability
STA111
3
II
2
Major
Probability Distributions
STA122
3
III
3
Major
Statistical Methods and Exact Sampling Distributions
STA233
3
IV
4
Major
Statistical Inference
STA244
3
V
5
DSE
Design of Experiments and Sample Surveys
STA355
3
V
6
DSE
Operations Research
STA356A
2
VI
7-A
DSE*
Applied Statistics
STA367
3
VI
7-B
DSE
Elements of Stochastic Process
STA367
3
VI
7-C
DSE
Time Series Analysis
STA367
3
VI
Cluster I
SEC**
(i) Statistical Quality      
     Control
(ii) Optimization
      Techniques
(iii) Basic Statistical Data
      Analysis Using R

2
VI
Cluster II
SEC
(i) Demography
(ii) Actuarial Statistics
(iii) Data Base
    Management Systems
STA368A
2
VI
Cluster III
SEC
(i) Econometrics
(ii) Computational
     Techniques
(iii) Statistical Computing
     using C Programming
STA368B
2
General Elective: Biostatistics

1
Project Work

1
*DSE-Discipline Specific Elective                        **SEC-Skill Enhancement Electives

III B.A / B.Sc. STATISTICS
SEMESTER V: PAPER -V
DESIGN OF EXPERIMENTS AND SAMPLE SURVEYS

Unit-I:                                                                        
Sampling and sample surveys, concepts of population and sample, need for sampling, census and sample survey, basic concepts in sampling, Non sampling errors, advantages of sampling over complete census, limitations of sampling. Some basic sampling methods - simple random sampling (SRS) with and without replacement.                                              
Unit-II:                                                                                                                                   
Stratified random sampling - Properties of the estimates, unbiased estimates for mean and variance, Neymann-optimal and proportional allocations, Systematic sampling – estimation of mean and variance of the estimated mean, comparison of simple, stratified and systematic sampling.                                      
Unit-III:                                                                                                                                 
Analysis of variance for one-way & two-way classifications, Need for design of experiments, fundamental principles of experimentation – randomization, replication and local control. Description and analysis of variance of Completely Randomized Design (CRD), Randomized Block Design (RBD).
Unit-IV:                                                                                                                                 
Description and analysis of Latin Square Design (LSD), 22 and 23 factorial experiments main effects, Yates method of computing factorial Effect total, interaction effects and its applications.
Unit-V:                                                                                                                                   
Present official statistical system in India, Methods of collection of official statistics. Role of Ministry of Statistics & Program Implementation (MoSPI), Central Statistical Office (CSO), National Sample Survey Office (NSSO), and National Statistical Commission. Government of India’s Principal publications containing data on the topics such as population, industry and finance

LIST OF BOOKS FOR STUDY:
  1. Applied Statistics S.C.Gupta, V.K.Kapoor Sultan Chand & Co, New Delhi.
  2. Sampling Techniques,  Cochran
  3. Applied Statistics- Parimal Mukhopadhyay New Central Book Agency
LIST OF BOOKS FOR REFERENCE:
  1. Fundamentals of Statistics (2000), Vol.2., Goon,A.M. Gupta, M.K. and Das Gupta, B. World Press, Calcutta.
2.       Probability and Statistics in Engineering - Hines, Montogomery et al John Wiley sons
  1. Design and Analysis of Experiments (1986), Das, M.N. and Giri, Springer Verlag        Pub.
  2. Statistical Techniques, Darora Singh.
  3. Design of experiments- Montogomary.
  4. Indian Official Statistical Systems- Saluja M.P -Statistical publishing society, Calcutta
III B.A / B.Sc. STATISTICS
SEMESTER – V: PAPER – VI
OPERATIONS RESEARCH


UNIT-I:                                                                                                                                  
Development of OR, Nature & meaning of OR, Characteristics of OR, Scope of Operations Research, Features of OR, Management application of OR Role of OR in decision making, Development of OR in India. Role of computers in OR.

UNIT-II:                                                                                                                                
Sequencing Problem- Introduction, Principal Assumptions, Processing n Jobs through two machines, processing n jobs through three machines, processing two jobs through m machines.

UNIT-III:                                                                                                                               
Assignment Problem – introduction, LP formulation of assignment problem, Hungarian method to solving assignment problem, unbalanced, maximization, restricted assignment problem.                             
UNIT-IV:                                                                                                                               
Transportation Problem - Introduction, Linear programming, Matrix form of transportation problem, Finding an initial basic feasible solution (IBFS) by North West Corner Rule, Lowest cost Entry method, Vogel’s approximation method, unbalanced, maximization, optimal solution by using MODI method.                   

UNIT-V:                                                                                                                                            
Definition of Game, Zero-sum game, Saddle point, Value of Game, Pay-off matrix. Fundamental Theorem of 2X2 games, Dominance property and modified dominance property (simple problems).

LIST OF BOOKS FOR STUDY:
1.      Operations research – S.D. Sharma
2.      Operations research – Taha. H.A.
LIST OF BOOKS FOR REFERENCE:
1.      Operations research --Wagner
2.      Operations research – Kanthi swaroop
3.      Operations research – V.K. Kapoor









III B.A / B.Sc.  STATTISTICS
SEMESTER – VI: PAPER – VII
APPLIED STATISTICS

                               
UNIT-I:                                                                                                                                 
Sources of population data, census, rates and ratios. Fertility and mortality tares, standardized death rates, components of complete and abridged life table, reproduction rates. Notion of population projection                                                               
UNIT-II:                                                                                                                               
Introduction and applications of time series data,Components of time series- trend, Periodic changes & Irregular components, Analysis of time series data, Measurement of trend- graphic method, method of semi averages, moving averages, curve fitting-linear , quadratic, Power and exponential curves by principle of least squares.-Limitations
UNIT-III                                                                                                                               
Measurement of Seasonal Fluctuations- method of simple averages, ratio to moving average method, ratio to trend, Link relatives methods. Use of multiplicative model in measurement of Seasonal Fluctuations
UNIT-IV:                                                                                                                  
Construction and uses of simple and weighted index numbers, reversal tests of index numbers. Fisher’s ideal index number, Base shifting and splicing. Construction of cost of living index number and wholesale price index number                                        
UNIT-V:                                                                                                                   
Introduction. Demand and supply, price elasticities of supply and demand. Methods of determining demand and supply curves. Leontief’s, Pigous’s methods of determining demand curve from time series data, limitations of these methods   Pigou’s method from time series data. Pareto law of income distribution curves of concentration                     

BOOKS FOR STUDY:
1. Applied Statistics S.C.Gupta, V.K.Kapoor Sultan Chand & Co, New Delhi.
2. Applied Statistics- Parimal Mukhopadhyay New Central Book Agency
3. Applied Statistics- Telugu Academy Hyderabad
BOOKS FOR REFERENCE:
1. Fundamentals of Statistics (2000), Vol.2., Goon,A.M. Gupta, M.K. and Das Gupta, B. World Press, Calcutta.
2. Basic Statistics B.L Agarwal Asia New Age Publications
3. Statistical Methods - SP Gupta, Sultan Chand and Sons

III B.A / B.Sc. STATISTICS
SEMESTER VI:  PAPER – VIII (Cluster Elective)
Statistical Quality Control

UNIT I
Quality: Definition, dimensions of quality, historical perspective of quality control and
improvements starting from World War II, historical perspective of Quality Gurus and
Quality Hall of Fame

UNIT II
Quality system and standards: Introduction to ISO quality standards, Quality registration. Statistical Process Control - Seven tools of SPC, chance and assignable Causes of quality variation. Statistical Control Charts- Construction and Statistical basis of 3-σ Control charts, Rational Sub-grouping.

UNIT III
Control charts for variables: X-bar & R-chart, X-bar & s-chart. Control charts for attributes: np-chart, p-chart, c-chart and u-chart. Comparison between control charts for variables and control charts for attributes.

UNIT IV
Product Control: Producer’s Risk, Consumer’s Risk, Acceptance Sampling Plan, Single and Double sampling plans by attributes, their OC, ASN ( and ATI ), LTPD and AOQL. Single sampling plan for inspection by variables (one-sided specification, known and unknown s cases)
UNIT V
Quality Systems: ISO 9000 standards, QS 9000 standards. Concept of six-sigma and the Define-Measure-Analyse-Improve-Control (DMAIC) Approach, Precision and accuracy in measurement systems.                                                                                                   
SUGGESTED READING:
1. Montogomery, D. C. (2009): Introduction to Statistical Quality Control, 6th Edition,
Wiley India Pvt. Ltd.
2. Goon A.M., Gupta M.K. and Dasgupta B. (2002): Fundamentals of Statistics, Vol. I
& II, 8th Edn. The World Press, Kolkata.
3. Mukhopadhyay, P (2011):Applied Statistics, 2nd edition revised reprint, Books and
Allied(P) Ltd.
4. Montogomery, D. C. and Runger, G.C. (2008): Applied Statistics and Probability for
Engineers, 3rd Edition reprint, Wiley India Pvt. Ltd.
6. Hoyle, David (1995): ISO Quality Systems Handbook, 2nd Edition, Butterworth
Heinemann Publication.
7. Logothetis, N. (1992). Managing Total Quality; Prentice Hall of India.
8. Oakland J.S. (1989). Total Quality Management; Butterworth-Heinemann.
9. Mittag H.J. and Rinne H. (1993) Statistical Methods of Quality Assurance.
10. Montgomery D.C.(1985); Statistical Process Control; John Wiley.
11. Montgomery D.C.(1999) Design and Analysis of Experiments; John Wiley
24
III B.A / B.Sc. STATISTICS
SEMESTER VI:  PAPER – VIII (Cluster Elective)
OPTIMIZATION TECHNIQUES
                                                                  
UNIT-I:                                                                                                                     
Introduction and Definition of General Linear Programming Problem(LPP) , formulation of LPP, Matrix form of LPP, Graphical Solution of LPP, Simplex Method – Slack variables.                                                          
UNIT-II:                                                                                                                    
Simplex Method – Artificial variable techniques - Big M-Method, Two Phase Method, Degeneracy problem, Method to resolve Degeneracy.

UNIT-III:                                                                                                                  
Duality, primal to dual and dual to primal, General rules of converting any primal to into its Dual, Statement of fundamental theorem of duality, Dual simplex method.                               
UNIT-IV:                                                                                                                  
Integer Programming Problem: Introduction and its applications, Branch and Bound (upto two branch problems only), Gromarey’s Cutting plane method.

UNIT-V:                                                                                                                    
Network diagram representation, time estimates and critical path in network analysis – Forward pass computations, Backward pass computations, Determination of critical path (CPM), Project Evaluation and Review Technique (PERT)-expected time, and variance and expected duration of the project with simple examples.                                     

BOOKS FOR STUDY:
1.      Operations research – S.D. Sharma
2.      Operations research – Taha. H.A.
BOOKS FOR REFERENCE:
1.      Operations research --Wagner
2.      Operations research – Kanthi swaroop
3.      Operations research – V.K. Kapoor
4.      Operations research – Kanthi swaroop and other.
5.      Linear Programming  -  Hadley G










III B.A / B.Sc. STATISTICS
SEMESTER VI:  PAPER – VIII (Cluster Elective)

Basic Statistical Data Analysis Using R


This skill based course will review and expand upon core topics in probability and statistics through the study and practice of basic data analysis and graphical interpretation using `R’.



Unit I:
R environment, R studio-console, environment, output, basic data types, vectors, strings, factors and data frames, R functions-Numeric string and date functions, R packages- importing the packages in R.
UNIT II
Learn how to load data, plot a graph viz. histograms (equal class intervals and unequal class intervals), box plot, stem-leaf, frequency polygon, pie chart, Ogives with graphical summaries of data
UNIT III
Generate automated reports giving detailed descriptive statistics, correlation and lines of
regression
UNIT IV
Random number generation and sampling procedures. Fitting of polynomials and exponential curves. Application Problems based on fitting of suitable distribution, Normal probability plot.

UNIT V
Simple analysis and create and manage statistical analysis projects, import data, code editing, Basics of statistical inference in order to understand hypothesis testing and compute p-values and confidence intervals.


SUGGESTED READING:
1. Gardener, M (2012) Beginning R: The Statistical Programming Language, Wiley
Publications.
2. Braun W J, Murdoch D J (2007): A First Course in Statistical Programming with R.
Cambridge University Press. New York





I B.A / B.Sc STATISTICS
I SEMESTER    (PAPER – I)
DESCRIPTIVE STATISTICS AND THEORY OF PROBABILITY
UNIT – I                                                                    
Measures of Central Tendency: mathematical and positional. Measures of Dispersion: range, quartile deviation, mean deviation, standard deviation, coefficient of variation.
Moments, central and non-central moments, and their interrelationships, Sheppard’s corrections for moments for grouped data. Measures of skewness based on quartiles and moments and kurtosis based on moments with real life examples.
UNIT – II                                                                                                                  
Principle of least squares, fitting of: straight line (y= ax+b), quadratic (y=ax2+bx+c), power curve (y=axb) and exponential curves (y=abx, y=aebx)
UNIT – III                                                                                                                
Introduction to Probability:      Definition of probability, various approaches of probability – Random Experiment, Trial, sample point, event and sample space, power set, operations of events, mutually exclusive and exhaustive events. Discrete and Continuous sample space, properties of probability based on axiomatic approach, Boole’s inequalities, addition theorem and multiplication theorem of probability conditional probability, independence of events, Bayes’ theorem and its applications.
UNIT – IV                                                                                                                
Random Variables: Definition of discrete random variables, probability mass function, idea of continuous random variable, probability density function, illustrations of random variables and its properties, transformation of one dimensional random variable.
UNIT – V                                                                                                                  
Expectation of a random variable and its properties, addition and multiplication theorems – raw moments and central moments, measures of location, dispersion, skewness and kurtosis, Cauchy Schwartz inequality, probability generating function (if it exists), Moment generating function (mgf), Characteristic function (cf) cumulant generating function (cgf), their properties and uses.       

BOOKS FOR STUDY:
1.      Mathematical statistics John E Freund, Ronald E Walpole  PHI publications
2.      Fundamentals of Mathematical Statistics, VK Kapoor, SC Gupta, Sultan Chand, New Delhi.
3.      Statistics first year Telugu academy
BOOKS FOR REFERENCE:
1.      Probability and Statistics in Engineering- Hines,Montogomery et al John Wiley sons
2.      Fundamentals of statistics, Goon AM, Gupta MK, das Gupta B, World Press, Calcutta.
3.      New Mathematical Statistics, Sanjay Aurora and Bansilal.
4.      Statistics: A Beginner’s Text Vol. I, Bhat BR, Srivenkataramana T and Rao Madhava KS, New age international (P) Ltd.
5.      Introduction to the theory of Statistics, Mood AM, Graybill FA and Bose DC, McGraw Hill.
6.      Introduction to Mathematical Statistics Robert V Hogg, Allen T Craig, Pearson Education
                                     



I B.A / B.Sc STATISTICS
II SEMESTER    (PAPER – II)
PROBABILITY DISTRIBUTIONS

UNIT – I                                                                                                                                                               
Bivariate random variable, discrete and continuous: joint, marginal and conditional distributions, distribution function of Bivariate random variable, its properties, mathematical expectation of Bivariate random variable, covariance.   
Chebyshev’s inequality and its applications, statements and applications of weak law of large numbers and De-movier Laplace-central Limit Theorem.         
UNIT – II                                                                                                                     
Univariate discrete distributions: Discrete Uniform, Bernoulli, Binomial, Poisson and their mgf, pgf, cgf, cf, first four moments, skewness, kurtosis, additive property (if exists), recurrence relation of central moments and recurrence relation of probability.
UNIT – III                                                                                                                
Univariate discrete distributions: Hyper geometric, Negative Binomial distributions and Geometric distribution with memory less property and their mgf, pgf, cgf, cf, first four moments, skewness, kurtosis, additive property (if exists), recurrence relation of central moments and recurrence relation of probability.
UNIT – IV                                                                                                                   
Continuous univariate distributions: Uniform, Normal distribution their definitions, properties and its importance in statistics, normal distribution as limiting case of Binomial and Poisson distributions. Mean, Median, Mode, mgf, cgf, cf and additive property, (if exists).  
UNIT – V                                                                                                                                                             
Continuous univariate distributions: Cauchy, Exponential (with memory lack property), Chi-Square, Gamma and Beta distributions their definitions, properties and its importance in statistics, Mean, Median, Mode, mgf, cgf, cf and additive property, (if exists)                                        
BOOKS FOR STUDY:
1.      Mathematical statistics John E Freund, Ronald E Walpole  PHI publications
2.      Fundamentals of Mathematical Statistics, VK Kapoor, SC Gupta, Sultan Chand, New Delhi.
3.      Statistics first year Telugu academy
BOOKS FOR REFERENCE:
4.      Probability and Statistics in Engineering - Hines, Montogomery et al John Wiley sons
5.      Fundamentals of statistics Vol.I, Goon AM, Gupta MK, das Gupta B, World Press, Calcutta.
4.      Discrete Distributions vol 1, Norman.L.Johnson and Samuel kotz - John Wiely
5.      Continuous Distributions vol 2, Norman.L.Johnson and Samuel kotz - John Wiely
6.      Introduction to probability theory, Walpole
7.      New Mathematical Statistics, Sanjay Aurora and Bansilal.
8.      Statistics: A Beginner’s Text Vol. I, Bhat BR, Srivenkataramana T and Rao Madhava KS, New age international (P) Ltd.


II B.A / B.Sc. STATISTICS     
 SEMESTER – III (PAPER – III)
STATISTICAL METHODS & EXACT SAMPLING DISTRIBUTIONS

UNIT – I                                                                                                                                                                               
Bivariate Data: Scatter diagram, marginal, graphical representation of marginal as well as bivariate frequency table, conditional frequencies, conditional empirical distributions, conditional mean. Product moment correlation coefficient and its properties. Coefficient of determination. Correlation ratio, Spearman’s Rank correlation and its properties
UNIT – II                                                                                                                                                                             
Fitting of simple linear regression and related results, Concept of error in regression line Multivariate data: Multiple regression line, multiple correlation and partial correlation in three variables.                    
UNIT – III                                                                                                                                
Analysis of Categorical Data: Consistency of categorical data. Independence and associations of attributes. Various measures of association for two-way and three-way classified data Odds ratio. 
UNIT – IV                                                                                                                               
Concept of Population, parameter, random sample, Statistic. Definition of a random sample, concept of sampling distribution, Exact sampling distributions – Statements and properties of Student’s t, c2, F - distributions and inter relation.                                                           
UNIT – V                                                                                                                                                                             
Point estimate of a parameter, concept of bias and mean square error of an estimate, Criteria of a good estimator - consistency, unbiased-ness, efficiency and sufficiency, Statement of Cramer-Rao Inequality, MVB of the estimator of the parameter of Binomial with a given ‘n’, Poisson, Normal with known ‘s’. Statement of Fisher-Neymann Factorization theorem, sufficient statistics of parameters of Binomial, Poisson, Normal and Exponential cases (one parameter only), Estimation by the method of moments, Maximum Likelihood (ML) method and the statements of optimum properties of MLE’s, Confidence intervals for parameters of Normal population (for large sample).                                                                                                                     
BOOKS FOR STUDY:
1. Mathematical statistics John E Freund, Ronald E Walpole  PHI publications
2. Fundamentals of Mathematical Statistics, VK Kapoor, SC Gupta, Sultan Chand,
3. Statistics second year Telugu academy
BOOKS FOR REFERENCE:
1.      Mathematical Statistics, Freund JE, prentice Hall of India.
2.      Probability and Statistics in Engineering - Hines, Montogomery et al John Wiley sons
3.      Fundamentals of statistics Vol.II, Goon AM, Gupta MK, das Gupta B, World Press, Calcutta.
4.      Introduction to the theory of Statistics, Mood AM, Graybill FA and Bose DC, McGraw Hill.
5.      An Introduction to Probability Theory and Mathematical Statistics, Rohatgi VK, John Wiley & Sons

II B.A / B.Sc STATISTICS
IV SEMESTER    (PAPER – IV)
 STATISTICAL INFERENCE

UNIT-I                                                                                                                                  

Statistical Test: Null and alternative hypotheses, Critical region, Level of significance, power of a test, Types of errors, p-values, Neymann-Pearson lemma for testing a simple null hypothesis against a simple alternative hypothesis with simple examples in case of Binomial, Poisson, Exponential, Normal with known standard deviation.

UNIT-II                                                                                                                                 

Testing for the mean and variance of univariate normal distribution, testing of equality of two means and testing of equality of two variances of two univariate normal distributions, related confidence intervals.  Testing for the significance of sample correlation coefficient.          
UNIT-III                                                                                                                               
Large sample tests: Use of central limit theorem for testing an interval estimation of a single mean, single proportion, difference of two means and two proportions, test for single standard deviation and difference of two standard deviations, Fisher’s Z transformation and its uses.                                                           
UNIT-IV                                                                                                                                  
Definition of order statistics and their distributions (in case of exponential only), Non-parametric tests, their advantages and disadvantages, Sign test, Wilcoxon signed rank test for one sample and two paired samples, Wilcoxon-Mann-Whitney ‘U’ test, Run test, Median test.                                       
UNIT-V                                                                                                                                   
Pearson’s Chi-square test for goodness of fit, testing for homogeneity of populations and test for independence in contingency table.
Sequential analysis introduction, Sequential probability ratio test (SPRT) - Operating Characteristic of sequential sampling plan, Average Sample Number function of sequential sampling plan
BOOKS FOR STUDY:
1. Probability and Statistical inference Hogg and Tanis, Pearson Education
2. Fundamentals of Mathematical Statistics, VK Kapoor, SC Gupta, Sultan Chand, New   Delhi.
3. Statistics second year Telugu academy
BOOKS FOR REFERENCE:
1.      Probability and Statistics in Engineering - Hines, Montogomery et al John Wiley sons

  1. Statistical Inference , Rohatghi
  2. Fundamentals of statistics Vol.II, Goon AM, Gupta MK, Das Gupta B, World    Press, Calcutta.
  3. Introduction to the theory of Statistics, Mood AM, Graybill FA and Boss DC,    McGraw Hill.
  4. An Introduction to Probability Theory and Mathematical Statistics, Rohatgi VK,   John Wiley & Sons.
  5. Statistics: A Beginner’s Text Vol.II, Bhat BR, Srivenkataramana T and Ral Madhava KS, New age international (P) Ltd.
  6. Non parametric statistics for behavioral sciences, Syndev Seigal.