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# MATHEMATICAL STATISTICS 1500+ SOLVED PROBLEMS MODEL SOLVED PAPERS ( Rs. 999 /- )

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*****Written According To Syllabus Of Mathematical Statistics Pattern Of All Over India / All Universities Covering All Topics Of Mathematical Statistics (Hons) /Major Courses Masters With *****Model Answers And MCQ Questions As Well. *****Complete Analysis Of Topics . Probability: Axiomatic Definition Of Probability And Properties, Conditional Probability, Multiplication Rule. Theorem Of Total Probability.Bayes' Theorem And Independence Of Events. *****Random Variables: Probability Mass Function, Probability Density Function And Cumulative Distribution Functions, Distribution Of A Function Of A Random Variable.***** Mathematical Expectation, Moments And Moment Generating Function.***** Chebyshev's Inequality. Standard Distributions: Binomial, Negative Binomial, Geometric, Poisson, Hypergeometric, Uniform, Exponential, Gamma, Beta And Normal Distributions.***** Poisson And Normal Approximations Of A Binomial Distribution.***** Joint Distributions:***** Joint, Marginal And Conditional Distributions.***** Distribution Of Functions Of Random Variables. Product Moments, Correlation, Simple Linear Regression. Independence Of Random Variables.***** Sampling Distributions:***** Chi-Square, T And F Distributions, And Their Properties. *****Limit Theorems: Weak Law Of Large Numbers.***** Central Limit Theorem (I.I.D. With Finite Variance Case Only). Estimation: Unbaisedness, Consistency And Efficiency Of Estimators, Method Of Moments And Method Of Maximum Likelihood.***** Sufficiency, Factorization Theorem.Completeness, Rao-Blackwell And Lehmann-Scheffe Theorems, Uniformly Minimum Variance Unbiased Estimators. Rao-Cramer Inequality.***** Confidence Intervals For The Parameters Of Univariate Normal, Two Independent Normal, And One Parameter Exponential Distributions.***** Testing Of Hypotheses: Basic Concepts, Applications Of Neyman-Pearson Lemma For Testing Simple And Composite Hypotheses*****. Likelihood Ratio Tests For Parameters Of Univariate Normal Distribution.