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http://dx.doi.org/10.5351/CSAM.2017.24.1.029

Point and interval estimation for a simple step-stress model with Type-I censored data from geometric distribution  

Arefi, Ahmad (Department of Statistics, Ferdowsi University of Mashhad)
Razmkhah, Mostafa (Department of Statistics, Ferdowsi University of Mashhad)
Publication Information
Communications for Statistical Applications and Methods / v.24, no.1, 2017 , pp. 29-41 More about this Journal
Abstract
The estimation problem of expected time to failure of units is studied in a discrete set up. A simple step-stress accelerated life testing is considered with a Type-I censored sample from geometric distribution that is a commonly used distribution to model the lifetime of a device in discrete case. Maximum likelihood estimators as well as the associated distributions are derived. Exact, approximate and bootstrap approaches construct confidence intervals that are compared via a simulation study. Optimal confidence intervals are suggested in view of the expected width and coverage probability criteria. An illustrative example is also presented to explain the results of the paper. Finally, some conclusions are stated.
Keywords
accelerated life testing; expected time to failure; Fisher information; maximum likelihood estimator; bootstrap sample;
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