İlerleyen Tür Sansürlü Verilere Dayalı Aralık Tahmini

Year 2016, Volume: 42 Issue: 2, 189 - 224, 28.10.2016

Coşkun Kuş , Nagihan Çökek İsmaik Kınacı , Yunus Akdoğan , Kadir Karakaya

Abstract

Bu çalışmada,
literatürde olan bir pivot kullanılarak Weibull,
Burr XII ve Gompertz dağılımı için güven aralıkları oluşturulmuştur.
İstatistiksel sonuç çıkarımı ilerleyen sansürleme altında tartışılmıştır. Pivot
elemanın dağılımı literatürde verilen tablolara göre farklı sansür şemaları
için daha da genişletilmiştir. Tam örneklem durumunda, regresyon modelleri
pivot elemanının sınır değerlerini elde etmek için tahmin edilmiştir. Ayrıca sayısal bir örnek verilmiştir.

Keywords

Burr XII dağılımı, Gompertz dağılımı, güven aralığı, ilerleyen sansürleme, pivot, Weibull dağılımı

Interval Estimation Based on Progressively Censored Data

Abstract

In this paper, a pivot
in the literarture is used to construct the confidence intervals for Weibull,
Burr XII and Gompertz distribution. Statistical inference are discussed under
progressive censoring. The tables for the distribution of pivotal quantity are
extended according to tables of existing papers with different censoring
schemes. Regression models are estimated to get cut off point of pivotal
quantity for complete sample. Numerical examples are also provided.

Keywords

Progressive censoring, Gompertz distribution, Burr XII distribution, Weibull distribution, pivot, confidence interval

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