Statistical inferences based on INID progressively type II censored order statistics

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Abstract

Suppose that the failure times of the units placed on a life-testing experiment are independent but nonidentically distributed random variables. Under progressively type II censoring scheme, distributional properties of the proposed random variables are presented and some inferences are made. Assuming that the random variables come from a proportional hazard rate model, the formulas are simplified and also the amount of Fisher information about the common parameters of this family is calculated. The results are also extended to a fixed covariates model. The performance of the proposed procedure is investigated via a real data set. Some numerical computations are also presented to study the effect of the proportionality rates in view of the Fisher information criterion. Finally, some concluding remarks are stated.

Keywords

Fisher information Maximum likelihood estimator Cramer–Rao lower bound Proportional hazard rate family Exponential family Weibull distribution Fixed covariates model 
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Notes

Acknowledgements

The authors would like to thank an anonymous referee and the associate editor for their useful comments and constructive criticisms on the original version of this manuscript which led to this considerably improved version. This research was supported by a Grant from Ferdowsi University of Mashhad (MS90212RZM).

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Copyright information

© The Institute of Statistical Mathematics, Tokyo 2017

Authors and Affiliations

  1. 1.Department of Statistics, Faculty of Mathematical SciencesFerdowsi University of MashhadMashhadIran

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