### Abstract

In this article, the problem of predicting times to failure of units from the Exponential Distribution which are censored under a simple step-stress model is considered. We discuss two kinds of predictors - the maximum likelihood predictors (MLP) and the conditional median predictors (CMP) in the context of Type I and Type II hybrid censoring scheme (HCS). In order to illustrate the prediction methods we use some numerical examples. Furthermore, mean squared prediction error (MSPE) and prediction intervals are generated for these examples using simulation studies. MLP and the CMP are then compared with respect to the prediction interval for each type of censoring. Finally, we used a real data to apply the prediction methods developed in the article.

Original language | English (US) |
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Pages (from-to) | 21-43 |

Number of pages | 23 |

Journal | Journal of Applied Statistical Science |

Volume | 22 |

Issue number | 1-2 |

State | Published - Jan 1 2016 |

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### All Science Journal Classification (ASJC) codes

- Statistics and Probability

### Cite this

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**Prediction of failure times of censored items for a simple step-stress model with hybrid censoring from the exponential distribution.** / Basak, Indrani.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Prediction of failure times of censored items for a simple step-stress model with hybrid censoring from the exponential distribution

AU - Basak, Indrani

PY - 2016/1/1

Y1 - 2016/1/1

N2 - In this article, the problem of predicting times to failure of units from the Exponential Distribution which are censored under a simple step-stress model is considered. We discuss two kinds of predictors - the maximum likelihood predictors (MLP) and the conditional median predictors (CMP) in the context of Type I and Type II hybrid censoring scheme (HCS). In order to illustrate the prediction methods we use some numerical examples. Furthermore, mean squared prediction error (MSPE) and prediction intervals are generated for these examples using simulation studies. MLP and the CMP are then compared with respect to the prediction interval for each type of censoring. Finally, we used a real data to apply the prediction methods developed in the article.

AB - In this article, the problem of predicting times to failure of units from the Exponential Distribution which are censored under a simple step-stress model is considered. We discuss two kinds of predictors - the maximum likelihood predictors (MLP) and the conditional median predictors (CMP) in the context of Type I and Type II hybrid censoring scheme (HCS). In order to illustrate the prediction methods we use some numerical examples. Furthermore, mean squared prediction error (MSPE) and prediction intervals are generated for these examples using simulation studies. MLP and the CMP are then compared with respect to the prediction interval for each type of censoring. Finally, we used a real data to apply the prediction methods developed in the article.

UR - http://www.scopus.com/inward/record.url?scp=85012891027&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85012891027&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85012891027

VL - 22

SP - 21

EP - 43

JO - Journal of Applied Statistical Science

JF - Journal of Applied Statistical Science

SN - 1067-5817

IS - 1-2

ER -