Analysis of Burr Type-XII Distribution Under Step Stress Partially Accelerated Life Tests with Type-I and Adaptive Type-II Progressively Hybrid Censoring Schemes

M. Nassar (), S. G. Nassr and S. Dey
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M. Nassar: Zagazig University
S. G. Nassr: Sinai University
S. Dey: St. Anthony’s College

Annals of Data Science, 2017, vol. 4, issue 2, No 5, 227-248

Abstract: Abstract In this paper, we investigate the maximum likelihood estimation of the unknown parameters of the Burr Type-XII distribution and the acceleration factor based on two different progressively hybrid censoring schemes, namely, Type-I progressive hybrid censoring scheme (T-I PHCS) proposed by Kundu and Joarder (Comput Stat Data Anal 50:2509–2528, 2006) and adaptive Type-II progressive hybrid censoring scheme (AT-II PHCS) introduced by Ng et al. (Nav Res Logist 56:687–698, 2009) under step-stress partially accelerated life test model. The observed Fisher information matrix is obtained to construct an approximate confidence interval for the unknown parameters. The performances of the estimators of the model parameters using the above mentioned progressively hybrid censoring schemes are evaluated and compared in terms of the mean squared errors and relative errors through a Monte Carlo simulation study.

Keywords: Burr Type-XII distribution; Adaptive Type-II progressive hybrid censoring; Progressive Type-I hybrid censoring scheme; Maximum likelihood estimation (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s40745-017-0101-8

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