FULLY SOLVED BOOK LASY 5 YEARS PAPERS SOLVED PLUS GUESS

Mathematical Statistics

UNIT-I
Probability and Measure: Sigma fields and measures; measurable functions and distributions, integration of Borel
function. Random Variables and Distributions: General properties – Distribution and probability densities,
moments, moment generating and characteristic functions.
UNIT-II
Probability Distribution: Discrete random variables and their distributors- Binomial probability distribution,
Geometric probability distribution and Poisson probability distribution and, their moments and moments
generating functions; Continuous random variables and their probability distributors- Uniform probability
distribution, Normal probability distribution, Gamma probability distribution, Beta probability distribution; Basic
idea about multivariate probability distributors; sampling distributors and Central limit theorem.
UNIT-III
Estimation and Hypothesis Testing: Point estimators, confidence intervals, properties of point estimators;
Hypothesis testing, elements of statistical test large sample test, small sample hypothesis testing for μ and μ1- μ2,
Power of test, Likelihood ratio tests
UNIT-IV
Statistical Analysis: Analysis of variance ; Analysis of Categorical Data-Chi-square test, Non-parametric statisticSign test, Wilcoxon, Signed Rank test, Mann – Whitney U test, Kruskal-Wallis test.