STATISTICS
Total Marks  100
1. Basic Probability Axiomatic definition of probability,
random variable, distribution function, probability density function, mathematical
expectation; conditional probability, jointly distributed random variables,
marginal and conditional distributions, conditional expectation, stochastic
independence.
2. Some Special Distributions : Binomial,
poisson. negative binomial, hypergeometric, normal distributions with their
derivation of their mean and variance; Definition and Application of chisquare, "T" and ‘F’ distributions.
3. Statistical Inference: Maximum likelihood estimation
of the mean and the variance of a normal population; confidence interval
for mean, difference of means and for variance: testing hypothesis for the
equality of two means (paired and unpaired observations); testing of equality
of sever al means (ANOVA) and testing of variance and equality of two variance.
4. Correlation and regression: Simple linear regression
model point and interval estimation of parameters, Simple Partial, Multiple
Correlation and testing of these correlations.
5. Sampling, Simple random, stratified, systematic and
cluster sampling, estimates of mean and total and their precision.
6. Applications of Statistics in social, economic and political
problems public health, crimes, Law, social innovations economic development,
sociopolitical inequality.
SUGGESTED READINGS

Title 
Author 
1 
Introduction to the Theory of Statistics 
Mood, Graybill and Boes 
2 
Mathematical Statistics 
Freund 
3 
Mathematical Statistics 
Hood and Craig 
4 
Sampling Techniques (3e) 
Cochran and Cox 
5 
Statistics: An Introductory Analysis 
Yamane 
6 
Statistics: A Guide to the Unknown 
Tanur; Hudith (ed) 