2018•Università del SalentoOpen access

Goodness of t tests for logistic distribution based on Phi-divergence

Amer Ibrahim Al‐Omari, Ehsan Zamanzade

Abstract

Some goodness of fit tests for logistic distribution based on Phi-divergenceare developed. The powers of the introduced tests are compared with sometraditional goodness of t tests including Kolmogorov-Smirnov, Anderson-Darling and Cramer-von Mises tests for logistic distribution using MonteCarlo simulation. It is shown the proposed tests have good performance ascompared with their competitors in the literature. A real data set is used forillustration.

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Available abstract

Key concepts: Goodness of fit, Logistic distribution, Mathematics, Statistics, Logistic regression, Kolmogorov–Smirnov test, Divergence (linguistics), Anderson–Darling test