Estimation for the Half Logistic Distribution under Progressive Type-II Censoring

- Journal title : Communications for Statistical Applications and Methods
- Volume 15, Issue 6, 2008, pp.815-823
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2008.15.6.815

Title & Authors

Estimation for the Half Logistic Distribution under Progressive Type-II Censoring

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

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

Abstract

In this paper, we derive the approximate maximum likelihood estimators(AMLEs) and maximum likelihood estimator of the scale parameter in a half-logistic distribution based on progressive Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples. We also obtain the approximate maximum likelihood estimators of the reliability function using the proposed estimators. We compare the proposed estimators in the sense of the mean squared error.

Keywords

Approximate maximum likelihood estimator;half logistic distribution;progressive Type-II censoring;reliability;

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 the Half Logistic Distribution Based on Double Hybrid Censored Samples,Kang, Suk-Bok;Cho, Young-Seuk;Han, Jun-Tae;

3.

Goodness-of-fit test for the logistic distribution based on multiply type-II censored samples,Kang, Suk-Bok;Han, Jun-Tae;Cho, Young-Seuk;

4.

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

5.

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

6.

Bayesian Estimations on the Exponentiated Distribution Family with Type-II Right Censoring,Kim, Yong-Ku;Kang, Suk-Bok;Seo, Jung-In;

7.

Bayesian analysis of an exponentiated half-logistic distribution under progressively type-II censoring,Kang, Suk Bok;Seo, Jung In;Kim, Yongku;

8.

Predictions for Progressively Type-II Censored Failure Times from the Half Triangle Distribution,Seo, Jung-In;Kang, Suk-Bok;

9.

Estimation for the Exponentiated Half Logistic Distribution Based on type I Hybrid Censored Samples,Lee, Kyeongjun;Cho, Youngseuk;Park, Chankeun;

Journal of the Korean Data Analysis Society, 2013. vol.15. 1A, pp.53-61

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References

1.

Adatia, A. (1997). Approximate BLUEs of the parameters of the half logistic distribution based on fairly large doubly censored samples, Computational Statistics & Data analysis, 24, 179-191

2.

Adatia, A. (2000). Estimation of parameters of the half-logistic distribution using generalized ranked set sampling, Computational Statistics & Data analysis, 33, 1-13

3.

Balakrishnan, N. (1985). Order statistics from the half logistic distribution, Journal of Statistical Computation & Simulation, 20, 287-309

4.

Balakrishnan, N. and Aggarwala, R. (1996). Relationships for moments of order statistics from the right-truncated generalized half logistic distribution, Annals of the Institute of Statistical Mathematics, 48, 519-534

5.

Balakrishnan, N. and Asgharzadeh, A. (2005). Inference for the scaled half-logistic distribution based on progressively Type-II censored samples, Communications in Statistics - Theory & Methods, 34, 73-87

6.

Balakrishnan, N., Kannan, N., Lin, C. T. and Wu, S. J. S. (2004). Inference for the extreme value distribution under progressive Type-II censoring, Journal of Statistical Computation & Simulation, 74, 25-45

7.

Balakrishnan, N. and Wong, K. H. T. (1991). Approximate MLEs for the location and scale parameters of the half-logistic distribution with Type-II right-censoring, IEEE Transactions on Reliability, 40, 140-145

8.

Han, J. T. and Kang, S. B. (2008). Estimation for the double Rayleigh distribution based on multiply Type-II censored samples, Communications of the Korean Statistical Society, 15, 367-378

9.

Kang, S. B. and Park, Y. K. (2005). Estimation for the half-logistic distributon based on multiply Type-II censored samples, Journal of the Korean Data & Information Science Society, 16, 145-156

10.

Lawless, J. F. (1982). Statistical Models and Methods for Lifetime Data, John Wiley & Sons, New York

11.

Lee, H. J., Han, J. T. and Kang, S. B. (2008). Estimation for a triangular distribution based on multiply Type-II censored samples, Journal of the Korean Data & Information Science Society, 19, 319-330