Predictions for Progressively Type-II Censored Failure Times from the Half Triangle Distribution

Jung In Seo; Suk Bok Kang

한국통계학회 CSAM(Communications for Statistical Applications and Methods) Predictions for Progressively Type-II Censored Failure Times from the Half Triangle Distribution

KCI 등재 SCOPUS

Predictions for Progressively Type-II Censored Failure Times from the Half Triangle Distribution

( Jung In Seo ) , ( Suk Bok Kang )

한국통계학회 2014.01

CSAM(Communications for Statistical Applications and Methods) 21권 1호 93-103(11pages)

UCI I410-ECN-0102-2014-300-001781860

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초록

This paper deals with the problem of predicting censored data in a half triangle distribution with an unknown parameter based on progressively Type-II censored samples. We derive maximum likelihood predictors and some approximate maximum likelihood predictors of censored failure times in a progressively Type-II censoring scheme. In addition, we construct the shortest-length predictive intervals for censored failure times. Finally, Monte Carlo simulations are used to assess the validity of the proposed methods.

키워드

Approximate maximum likelihood predictor

Approximate predictive maximum likelihood estimator

Half triangle distribution

Prediction interval

Progressively Type-II censored sample

1. Introduction
2. Prediction for Censored Failure Times
3. Simulation Study
4. Concluding Remarks
Appendix A: The APMLEs of σ
Appendix B: The SLPI for Y based on U
References

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