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 = 20(10)40 and various censored samples. The performances of the AMLEs and MLE are very similar in all aspects but the MLE and LSE have not a closed-form expression, some numerical method must be employed.

Keywords

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

Language

English

Cited by

1.

Bayesian estimation in the generalized half logistic distribution under progressively type-II censoring,Kim, Yong-Ku;Kang, Suk-Bok;Se, Jung-In;

Journal of the Korean Data and Information Science Society, 2011. vol.22. 5, pp.977-989

2.

Estimation for generalized half logistic distribution based on records,Seo, Jung-In;Lee, Hwa-Jung;Kan, Suk-Bok;

3.

Prole likelihood estimation of generalized half logistic distribution under progressively type-II censoring,Kim, Yong-Ku;Kang, Suk-Bok;Han, Song-Hui;Seo, Jung-In;

Journal of the Korean Data and Information Science Society, 2011. vol.22. 3, pp.597-603

4.

Estimation in an Exponentiated Half Logistic Distribution under Progressively Type-II Censoring,Kang, Suk-Bok;Seo, Jung-In;

5.

Inference Based on Generalized Doubly Type-II Hybrid Censored Sample from a Half Logistic Distribution,Lee, Kyeong-Jun;Park, Chan-Keun;Cho, Young-Seuk;

6.

Estimation for Two-Parameter Generalized Exponential Distribution Based on Records,Kang, Suk Bok;Seo, Jung In;Kim, Yongku;

7.

Estimation on the Generalized Half Logistic Distribution under Type-II Hybrid Censoring,Seo, Jung-In;Kim, Yongku;Kang, Suk-Bok;

8.

An Analysis of Record Statistics based on an Exponentiated Gumbel Model,Kang, Suk Bok;Seo, Jung In;Kim, Yongku;

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