İlerleyen Tür Sansürlü Verilere Dayalı Aralık Tahmini

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.

Interval Estimation Based on Progressively Censored Data

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.

___

  • 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.