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

Yıl 2024, Cilt: 28 Sayı: 2, 240 - 250, 23.08.2024

Anıl Koyuncu , Mehmet Karahasan

https://doi.org/10.19113/sdufenbed.1479284

Öz

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.

Anahtar Kelimeler

Goodness of fit tests, Empirical distribution, Type II right censoring, Scale family, Location-scale family

Tam ya da II. Tür Sağdan Durdurulmuş Örneklemler için Yeni Bir Uyum İyiliği Testi

Öz

Bu çalışmada, üstel veya log-normal dağılımlardan alınan tam veya II. tür sağdan durdurulmuş rastgele örneklemler için deneysel dağılım fonksiyonuna dayalı yeni bir uyum iyiliği testi önerilmektedir. Yeni önerilen uyum iyiliği testi Kolmogorov-Smirnov, Cramer-von Mises ve Anderson-Darling gibi iyi bilinen bazı uyum iyiliği testleri ile çeşitli örneklem büyüklükleri ve durdurma oranları üzerinde güç açısından karşılaştırmak için bazı simülasyon çalışmaları yapılmıştır. Simülasyon sonuçları, yeni önerilen uyum iyiliği testinin, dikkate alınan diğer uyum iyiliği testlerine kıyasla genel olarak iyi performans gösterdiğini ortaya koymaktadır. Ayrıca, yeni önerilen uyum iyiliği testi ve diğer uyum iyiliği testleri, ilgili literatürden elde edilen bazı gerçek veri setlerine uygulanarak gösterilmiştir.

Anahtar Kelimeler

Uyum iyiliği testleri, Deneysel dağılım, II. Tür Sağdan Durdurma, Ölçek Ailesi, Konum-Ölçek ailesi

Etik Beyan

In this study, we undertake that all the rules required to be followed within the scope of the "Higher Education Institutions Scientific Research and Publication Ethics Directive" are complied with, and that none of the actions stated under the heading "Actions Against Scientific Research and Publication Ethics" are not carried out.

Kaynakça

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