Parameter estimation of time censored exponential life data under ranked set sampling

doi:10.3969/j.issn.1000-1565.2022.04.001

Abstract

Abstract: In order to solve the problem of parameter estimation for time censored exponential life data, the maximum likelihood estimation using ranked set sampling method is studied. For the problem that likelihood equation’s root under ranked set sampling is not found, some terms of likelihood equation are replaced with their expectations, and the modified maximum likelihood estimation is given. The comparison results of estimation efficiencies show that the proposed estimator using ranked set sampling method is better than maximum likelihood estimator using simple random sampling method.

Key words: time censored data, ranked set sample, parameter estimation, exponential distribution

CLC Number:

O212.1

DONG Xiaofang, GAO Yang, ZHANG Liangyong. Parameter estimation of time censored exponential life data under ranked set sampling[J]. Journal of Hebei University(Natural Science Edition), 2022, 42(4): 337-342.

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