Statistical Inference

Paper Code: 
STT 401
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

This paper is designed to familiarize the students with concept of statistical inference which include estimation theory

10.00
Unit I: 
Large Sample Test of Significance

Sampling for attributes and variables, tests of significance for single mean, standard deviation and proportions, tests of significance for difference between two means, standard deviations and proportions.

8.00
Unit II: 
Theory of Estimation: Point Estimation

Problems of point estimation, properties of a good point estimator- unbiasedness, consistency, efficiency & sufficiency.-factorization theorem (without proof)and its applications.

9.00

Concept of mean square error, Minimum Variance Unbiased Estimation, Cramer Rao Inequality,  Rao-Blackwell Theorem (Without proof).

9.00
Unit IV: 
Methods of point estimation:

Method of Maximum Likelihood and its properties of MLEs (without proof). Methods of Moments: Least Squares method

9.00
Unit V: 
Interval Estimation

Concept, confidence interval, confidence coefficient, construction of confidence interval for population mean, variance, difference of population mean when standard deviation are known and unknown of Normal Distribution.

Essential Readings: 

1. Goon, A.M., Gupta, M.K. and Dasgupta, B. Das (1991): An Outline of Statistics,
    Volume II, The World Press Pvt Ltd, Calcutta
2. Gupta, S.C. and Kapoor, V.K.: Fundamentals of Mathematical Statistics, S Chand
    &Company, New Delhi.
3. Mood Alexander M., Graybill Frankline and Boes Duane C.: Introduction to Theory
    of Statistics, Mc Graw Hill & Company Third Edition

References: 

1. Rohatgi, V.K.(1967): An Introduction to Probability Theory and Statistics, John Wiley
   And Sons.
2. Casella,G. and Berger, Roger L.: Statistical Inference, Duxbury Thompson Learning ,
    Second Edition.
3. Snedecor, G.W. and Cochran, W.G. (1967): Statistical Methods, Iowa State University
    Press.
4. Gibbons, J. Dickinson and Chakraborthy, S.: Nonparametric Statistical Inference,
    CRC, Fourth Edition.
5. Rohatgi, V.K. and Saleh, A.K. Md. Ehsanes (2001): An Introduction to Probability
    Theory and Statistics, Second Edition, John Wiley andSons.