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UNITI - I Introduction and
overview Populations
and samples; sample statistics; Descriptive Statistics. |
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UNIT-II Basic concepts of
probability Spaces and events;
probability concepts, conditional probabilities |
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UNIT-III Probability
distributions and Sampling Random
variables-discrete and continuous, various probability distributions -
functions and characteristics; Commonly used distributions uniform, binomial,
exponential, Poisson, hypergeometric and Normal random variables. Jointly
distributions conditional distributions and expectations, covariance and
correlation |
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Unit-IV Estimation and
Hypothesis testing Estimation of
population parameters-methods of moments and maximum likelihood procedures;
properties of estimators; confidence intervals; Defining statistical
hypotheses; distributions of test statistics; testing hypotheses related to
population parameters; Type 1 and Type II errors; power of a test |
