Estimation of the Exponential Distributions based on Multiply Progressive Type II Censored Sample

Title & Authors
Estimation of the Exponential Distributions based on Multiply Progressive Type II Censored Sample
Lee, Kyeong-Jun; Park, Chan-Keun; Cho, Young-Seuk;

Abstract
The maximum likelihood(ML) estimation of the scale parameters of an exponential distribution based on progressive Type II censored samples is given. The sample is multiply censored (some middle observations being censored); however, the ML method does not admit explicit solutions. In this paper, we propose multiply progressive Type II censoring. This paper presents the statistical inference on the scale parameter for the exponential distribution when samples are multiply progressive Type II censoring. The scale parameter is estimated by approximate ML methods that use two different Taylor series expansion types ($\small{AMLE_I}$, $\small{AMLE_{II}}$). We also obtain the maximum likelihood estimator(MLE) of the scale parameter under the proposed multiply progressive Type II censored samples. We compare the estimators in the sense of the mean square error(MSE). The simulation procedure is repeated 10,000 times for the sample size n = 20 and 40 and various censored schemes. The $\small{AMLE_{II}}$ is better than MLE and $\small{AMLE_I}$ in the sense of the MSE.
Keywords
Approximate maximum likelihood estimator;exponential distribution;multiply progressive Type II censored sample;progressive Type II censored sample;
Language
English
Cited by
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Estimation of the half-logistic distribution based on multiply Type I hybrid censored sample,;;;

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1.
Estimation of the exponential distribution based on multiply Type I hybrid censored sample, Journal of the Korean Data and Information Science Society, 2014, 25, 3, 633
2.
Estimation of the half-logistic distribution based on multiply Type I hybrid censored sample, Journal of the Korean Data and Information Science Society, 2014, 25, 6, 1581
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