Coming soon
Statistical Inference
This paper is designed to familiarize the students with concept of statistical inference which include estimation theory
Testing of significance 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.
Point Estimation: problems of point estimation, properties of a good point estimator- unbiasedness, consistency, efficiency & sufficiency.-factorization theorem (without proof) and it applications.
Concept of mean square error, minimum Variance Unbiased Estimation, Cramer Rao Inequality, Rao-Blackwell Theorem (Without proof).
Method of Maximum Likelihood and its properties of MLEs (without proof). Methods of Moments: Least Squares method
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.
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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
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. Rohatgi, V.K. and Saleh, A.K. Md. Ehsanes (2001): An Introduction to Probability
Theory and Statistics, Second Edition, John Wiley andSons.
