A New Goodness of Fit Test for Complete or Type II Right Censored Samples

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Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:28 Issue:2
A New Goodness of Fit Test for Complete or Type II Right Censored Samples

A New Goodness of Fit Test for Complete or Type II Right Censored Samples

Authors : Anıl Koyuncu, Mehmet Karahasan

Pages : 240-250

Doi:10.19113/sdufenbed.1479284

View : 44 | Download : 22

Publication Date : 2024-08-23

Article Type : Research Paper

Abstract :This study proposes a new goodness-of-fit test based on the empirical distribution function for complete or type II right-censored random samples, which are drawn from either the exponential or log-normal distributions. Some simulation studies were conducted to compare the newly proposed test with some of the well-known goodness-of-fit tests, such as Kolmogorov-Smirnov, Cramer-von Mises, and Anderson-Darling, in terms of power over various sample sizes and censoring rates. The simulation results show that the newly proposed goodness of fit test generally seems to perform well compared to the other goodness of fit tests considered. In addition, the newly proposed test and the other goodness of fit tests are illustrated by applying them to some real data sets obtained from the relevant literature.
Keywords : Uyum iyiliği testleri, Deneysel dağılım, II Tür Sağdan Durdurma, Ölçek Ailesi, Konum Ölçek ailesi

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