Estimation for the Half Logistic Distribution Based on Double Hybrid Censored Samples

- Journal title : Communications for Statistical Applications and Methods
- Volume 16, Issue 6, 2009, pp.1055-1066
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2009.16.6.1055

Title & Authors

Estimation for the Half Logistic Distribution Based on Double Hybrid Censored Samples

Kang, Suk-Bok; Cho, Young-Seuk; Han, Jun-Tae;

Kang, Suk-Bok; Cho, Young-Seuk; Han, Jun-Tae;

Abstract

Many articles have considered a hybrid censoring scheme, which is a mixture of Type-I and Type-II censoring schemes. We introduce a double hybrid censoring scheme and derive some approximate maximum likelihood estimators(AMLEs) of the scale parameter for the half logistic distribution under the proposed double hybrid censored samples. The scale parameter is estimated by approximate maximum likelihood estimation method using two different Taylor series expansion types. We also obtain the maximum likelihood estimator(MLE) and the least square estimator(LSE) of the scale parameter under the proposed double hybrid censored samples. We compare the proposed estimators in the sense of the mean squared error. The simulation procedure is repeated 10,000 times for the sample size n

Keywords

Approximate maximum likelihood estimator;double hybrid censored sample;half logistic distribution;

Language

English

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