Interval Estimation Based on Progressively Censored Data

Objective & Hypothesis:In this paper, a pivot in the literarture is used to construct the confidence intervals for Weibull, Burr XII and Gompertz distribution.

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Key Findings & Data:Statistical inference are discussed under progressive censoring.

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Conclusion & Impact:Numerical examples are also provided.

🔬Design:Modeling & Simulation

📍Scope:Comprehensive Sample

⚙️Variables:Burr XII dağılımı · Gompertz dağılımı · güven aralığı

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.

Özet

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 Progressive censoring Gompertz distribution Burr XII distribution Weibull distribution confidence interval

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Cite This Article

KUŞ, C., ÇÖKEK, N., KINACI, İ., AKDOĞAN, Y., KARAKAYA, K. (2016). Interval Estimation Based on Progressively Censored Data. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, Cilt: 42 - Sayı: 2, 189–224. https://ajindex.com/articles/800374

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