Nakagami distribution as a reliability model under progressive censoring

Kapil Kumar (), Renu Garg and Hare Krishna
Additional contact information
Kapil Kumar: University of Delhi
Renu Garg: Maharshi Dayanand University
Hare Krishna: Ch. Charan Singh University

International Journal of System Assurance Engineering and Management, 2017, vol. 8, issue 1, No 10, 109-122

Abstract: Abstract The Nakagami distribution is widely used in communication engineering. In this article we consider this distribution as a useful life time model in life testing experiments and reliability theory. Some of its distributional properties and reliability characteristics are discussed. In order to reduce cost and time of life testing experiments progressive type II censoring is used. Maximum likelihood (ML) and least square estimators of the unknown parameters and reliability characteristics are derived with progressively type II censored sample from this distribution. Interval estimation and coverage probability based on ML estimates are obtained. Monte Carlo simulation study is performed to compare various estimates developed. Findings are illustrated by three examples, two based on simulated data sets and one consisting of a real data set.

Keywords: Nakagami distribution; Progressive censoring; Maximum likelihood estimation; Confidence intervals; Least square estimation; Coverage probability; 62F10; 62N01; 62N05 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s13198-016-0494-3

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