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Goodness of Fit Tests for Generalized Quasi Lindley Distribution

. SidAhmed Benchiha and Amer Ibrahim Al-Omari


Abstract

In this article, several goodness of fit tests for the generalized quasi Lindley distribution are suggested based on the commonly used simple random sampling (SRS) and ranked set sampling (RSS) methods. These tests include the Kolmogorov-Smirnov test, Anderson-Darling test, Cramer-von Mises test, and Zhang test. The power of the tests and the critical values are obtained based on SRS and RSS schemas for various alternatives and different sample sizes. A comparison study is performed to study the effectiveness goodness of fit tests based on RSS relative to its counterparts in SRS based on the same number of measured units. An application of real data set of 72 guinea pigs infected with virulent tubercle bacilli is given for illustration. The results indicate that the RSS tests performs better than the SRS counterparts. Keywords: Goodness of fit tests, Maximum likelihood estimation, Power of test, Ranked set sampling, Significance level.

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