--> # A Good Statistician Must Have The PDF Of This Textbook

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This statistics textbook will enabletests

to masters some of the following topics

Combinatorics and basic set theory notation(permutation, Combination, Sets)

Probability definitions and properties

Common discrete distributions(Bernoulli, Binomial, Poisson, Geometric, Hyper geometric, etc)

Continuous distributions(Exponential, Normal, Chi-square, Gamma, Beta, etc)

Bivariate distributions(Bivariate Bernoulli, Bivariate Binomial, Bivariate Poisson, Bivariate Bivariate Geometric, Bivariate Hyper geometric, For Continuous Cases: Bivariate Exponential, Bivariate Normal, Bivariate Chi-square, Bivariate Gamma, Bivariate Beta etc)

Conditional probability

Random variables, expectation, variance

Univariate and bivariate transformations

Convergence of random variables: in probability, in distribution, almost sure

Central Limit Theorem, Laws of Large Numbers

Estimation: bias, MSE, consistency, sufficiency, maximum likelihood, method of moments, UMVUE, Rao-Blackwell Theorem, Fisher Information

Hypothesis testing: significance level and power, Neyman-Pearson  lemma, Likelihood ratio tests

Confidence Intervals: definitions, duality with hypothesis tests