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Testing Of Hypothesis
This paper is designed to familiarize the students with concept of testing and Non- Parametric Inference
Definition, Simple and Composite hypotheses. Null and Alternative Hypotheses, two Types of errors,critical region , level of significance critical and p-values, statistical test: one tailed and two tailed test, Power and size of the test
Idea of most powerful test, uniformly most powerful test, Types of randomized and non randomized test, Neyman Pearson Lemma and its application for finding BCR. BCR in case of Binomial, Poisson and of Normal and Exponential Populations.
Defination uses and applications, joint and marginal distributions of rth and sth order statistics. Distribution of range and median (when n is odd)
Elementary of Wald’s sequential testing, sequential probability ratio test with essential and optimum properties (without proof).
Definition merits and limitations, Sign test for univariate and bivariate distributions, Run test and Median test for small and large samples.
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