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
References
- Akdoğan Y, Çalık A, Altındağ İ, Kuş C, Kınacı İ (2013). Interval Estimation for some life distributions based on progressively censored sample, XXIX-th European Meeting of Statisticians, pp. 29, Budapest.
- Ali MMAM, Jaheen ZF (2002). Statistical inference for the Burr model based on progressively censored data, Computers And Mathematics with Applications 43, 1441–1449.
- Asgharzadeh A (2006). Point and interval estimation for a generalized logistic distribution under progressive type II censoring, Commun. Statist. Theory Meth. 35, 1685–1702.
- Bairamov I, Eryılmaz S (2006). Spacings, exceedances and concomitants in progressive type II censoring scheme, Journal of Statistical Planning and Inference 136(3), 527–536.
- Balakrishnan N, Aggarwala R (2000). Progressive Censoring, Theory, Methods and Applications.
- Chen Z (1997). Statistical inference about the shape parameter of the Weibull distribution, Statistics and Probability Letters 36, 85–90.
- Jaheen ZF (2003). Prediction of progressive censored data from the gompertz model, Commun. Statist. Simul. Comput. 32, 663–676.
- Kundu D (2008). Bayesian inference and life testing plan for theWeibull distribution in presence of progressive censoring, Technometrics 50, 144–154.
- Soliman AA (2005). Estimation of parameters of life from progressively censored data using Burr-XII model, IEEE Trans.Reliab. 54, 34–42.
- Wu SJ (2008). Estimation of the two-parameter bathtub-shaped lifetime distribution with progressive censoring, J. Appl. Statist. 35, 1139–1150.
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
References
- Akdoğan Y, Çalık A, Altındağ İ, Kuş C, Kınacı İ (2013). Interval Estimation for some life distributions based on progressively censored sample, XXIX-th European Meeting of Statisticians, pp. 29, Budapest.
- Ali MMAM, Jaheen ZF (2002). Statistical inference for the Burr model based on progressively censored data, Computers And Mathematics with Applications 43, 1441–1449.
- Asgharzadeh A (2006). Point and interval estimation for a generalized logistic distribution under progressive type II censoring, Commun. Statist. Theory Meth. 35, 1685–1702.
- Bairamov I, Eryılmaz S (2006). Spacings, exceedances and concomitants in progressive type II censoring scheme, Journal of Statistical Planning and Inference 136(3), 527–536.
- Balakrishnan N, Aggarwala R (2000). Progressive Censoring, Theory, Methods and Applications.
- Chen Z (1997). Statistical inference about the shape parameter of the Weibull distribution, Statistics and Probability Letters 36, 85–90.
- Jaheen ZF (2003). Prediction of progressive censored data from the gompertz model, Commun. Statist. Simul. Comput. 32, 663–676.
- Kundu D (2008). Bayesian inference and life testing plan for theWeibull distribution in presence of progressive censoring, Technometrics 50, 144–154.
- Soliman AA (2005). Estimation of parameters of life from progressively censored data using Burr-XII model, IEEE Trans.Reliab. 54, 34–42.
- Wu SJ (2008). Estimation of the two-parameter bathtub-shaped lifetime distribution with progressive censoring, J. Appl. Statist. 35, 1139–1150.
Details
| Journal Section | Research Articles |
|---|---|
| Authors | |
| Publication Date | October 28, 2016 |
| Submission Date | February 2, 2017 |
| Published in Issue | Year 2016 Volume: 42 Issue: 2 |
Cite
Journal Owner: On behalf of Selçuk University Faculty of Science, Rector Prof. Dr. Metin AKSOY
Selcuk University Journal of Science Faculty accepts articles in Turkish and English with original results in basic sciences and other applied sciences. The journal may also include compilations containing current innovations.
It was first published in 1981 as "S.Ü. Fen-Edebiyat Fakültesi Dergisi" and was published under this name until 1984 (Number 1-4).
In 1984, its name was changed to "S.Ü. Fen-Edeb. Fak. Fen Dergisi" and it was published under this name as of the 5th issue.
When the Faculty of Letters and Sciences was separated into the Faculty of Science and the Faculty of Letters with the decision of the Council of Ministers numbered 2008/4344 published in the Official Gazette dated 3 December 2008 and numbered 27073, it has been published as "Selcuk University Journal of Science Faculty" since 2009.
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