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

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References

1.

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

2.

Balakrishnan, N. and Puthenpura, S. (1986). Best linear unbiased estimators of location and scale parameters of the half logistic distribution, Journal of Statistical Computation and Simulation, 25, 193–204

3.

Balakrishnan, N. andWong, 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

4.

Childs, A., Chandrasekar, B., Balakrishnan, N. and Kundu, D. (2003). Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution, Annals of the Institute of Statistical Mathematics, 55, 319–330

5.

Epstein, B. (1954). Truncated life tests in the exponential case, The Annals of Mathematical Statistics, 25, 555–564

6.

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

7.

Kang, S. B., Cho, Y. S. and Han, J. T. (2008). Estimation for the half logistic distribution under progressive Type-II censoring, Communications of the Korean Statistical Society, 15, 815–823