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Tests for Scale Parameter of Skew Log Laplace Distribution

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SYNOPTIC ABSTRACT Kozubowski and Podgorski (2003) have discussed properties, characterizations, and estimation of parameters of skew log Laplace distribution (SLLD). In this article, classical optimum tests for scale parameter of… Click to show full abstract

SYNOPTIC ABSTRACT Kozubowski and Podgorski (2003) have discussed properties, characterizations, and estimation of parameters of skew log Laplace distribution (SLLD). In this article, classical optimum tests for scale parameter of SLLD are derived. The most powerful (MP) test is obtained for scale parameter when shape parameters are known. Wald’s sequential probability ratio test (SPRT) is obtained, and its properties are studied. The likelihood ratio tests (LRT) for scale parameter are derived when the shape parameters are known and unknown. Finally, the SPRT and LRT are illustrated to the real life data.

Keywords: tests scale; parameter; scale parameter; log laplace; skew log; laplace distribution

Journal Title: American Journal of Mathematical and Management Sciences
Year Published: 2018

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