This paper is designed to familiarize the students with concept of statistical inference which include estimation theory
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.
Problems of point estimation, properties of a good point estimator- unbiasedness, consistency, efficiency & sufficiency.-factorization theorem (without proof)and its 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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