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UNIT – 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 an 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 I and Type II errors; power of a test |
