TY - JOUR

T1 - A Note on the Prediction of Censored Exponential Lifetimes in a Simple Step-stress Model with Type-II Censoring

AU - Basak, Indrani

AU - Balakrishnan, N.

N1 - Publisher Copyright:
© 2018 Calcutta Statistical Association, Kolkata.

PY - 2018/5

Y1 - 2018/5

N2 - In this article, we consider the problem of predicting survival times of units from the exponential distribution which are censored under a simple step-stress testing experiment. In this article, Type-II censoring are considered for the form of censoring. Two kinds of predictors—the maximum likelihood predictors (MLP) and the conditional median predictors (CMPs)—are derived. Some numerical examples are presented to illustrate the prediction methods developed here. Using simulation studies, prediction intervals are generated for these examples. We then compare the MLP and the CMP with respect to mean squared prediction error (MSPE) and the prediction interval. Finally, we used a real data to apply the prediction methods developed in the article.

AB - In this article, we consider the problem of predicting survival times of units from the exponential distribution which are censored under a simple step-stress testing experiment. In this article, Type-II censoring are considered for the form of censoring. Two kinds of predictors—the maximum likelihood predictors (MLP) and the conditional median predictors (CMPs)—are derived. Some numerical examples are presented to illustrate the prediction methods developed here. Using simulation studies, prediction intervals are generated for these examples. We then compare the MLP and the CMP with respect to mean squared prediction error (MSPE) and the prediction interval. Finally, we used a real data to apply the prediction methods developed in the article.

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U2 - 10.1177/0008068318769506

DO - 10.1177/0008068318769506

M3 - Article

AN - SCOPUS:85074995228

SN - 0008-0683

VL - 70

SP - 57

EP - 73

JO - Calcutta Statistical Association Bulletin

JF - Calcutta Statistical Association Bulletin

IS - 1

ER -