Open AccessGoodness of Fit Tests for Marshal-Olkin Extended Rayleigh Distribution
Author(s) -
Naz Saud,
Sohail Chand
Publication year - 2019
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v16i3.2624
Subject(s) - goodness of fit , mathematics , rayleigh distribution , statistics , anderson–darling test , empirical distribution function , kolmogorov–smirnov test , statistic , test statistic , statistical hypothesis testing , probability density function
A class of goodness of fit tests for Marshal-Olkin Extended Rayleigh distribution with estimated parameters is proposed. The tests are based on the empirical distribution function. For determination of asymptotic percentage points, Kolomogorov-Sminrov, Cramer-von-Mises, Anderson-Darling,Watson, and Liao-Shimokawa test statistic are used. This article uses Monte Carlo simulations to obtain asymptotic percentage points for Marshal-Olkin extended Rayleigh distribution. Moreover, power of the goodness of fit test statistics is investigated for this lifetime model against several alternatives.