Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
권호 표지
DOI QR코드

DOI QR Code

Estimation of the half-logistic distribution based on multiply Type I hybrid censored sample

  • Shin, Hyejung (Department of Flight Operation, Kyungwoon University) ;
  • Kim, Jungdae (Department of Computer Information Science, Andong Science College) ;
  • Lee, Changsoo (Department of Flight Operation, Kyungwoon University)
  • Received : 2014.10.07
  • Accepted : 2014.11.07
  • Published : 2014.11.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we consider maximum likelihood estimators of the location and scale parameters for the half-logistic distribution when samples are multiply Type I hybrid censored. The scale parameter is estimated by approximate maximum likelihood estimation methods using two different Taylor series expansion types ($\hat{\sigma}_I$, $\hat{\sigma}_{II}$). We compare the estimators in the sense of the root mean square error (RMSE). The simulation procedure is repeated 10,000 times for the sample size n=20 and 40 and various censored schemes. The approximate MLE of the second type is better than that of the first type in the sense of the RMSE. Further an illustrative example with the real data is presented.

Keywords

References

  1. 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. https://doi.org/10.1080/00949658608810932
  2. 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. https://doi.org/10.1109/24.87114
  3. Epstein, B. (1954). Truncated life tests in the exponential case. Annals of Mathematical Statistics, 25, 555-564. https://doi.org/10.1214/aoms/1177728723
  4. Kang, S. B., Cho, Y. S., Han, J. T. and Sakong, J. (2010). Goodness-of-fit test for the half logistic distribution based on multiply type II censored samples. Journal of the Korean Data & Information Science Society, 21, 317-325.
  5. Kwon, B. W., Lee, K. J. and Cho, Y. S. (2014). Estimation for the Rayleigh distribution based on type I hybrid censored sample. Journal of Korean Data & Information Science Society, 25, 431-438. https://doi.org/10.7465/jkdi.2014.25.2.431
  6. Lawless, J. F. (1982). Statistical models and methods for lifetime data, New York, John Wiley & Sons.
  7. Lee, K. J., Cho, Y. S. and Park, C. K. (2013). Estimation for the exponentiated half logistic distribution based on type I hybrid censored samples. Journal of the Korean Data Analysis Society, 15, 53-61.
  8. Lee, K. J., Park, C. K. and Cho, Y. S. (2012). Estimation of the exponential distribution based on multiply progressive type II censored sample. The Korean Communications in Statistics, 19, 697-704. https://doi.org/10.5351/CKSS.2012.19.5.697
  9. Lee, K. J., Park, C. K. and Cho, Y. S. (2011). Inference based on doubly generalized type II hybrid censored sample from a half logistic distribution. The Korean Communications in Statistics, 18, 645-655. https://doi.org/10.5351/CKSS.2011.18.5.645
  10. Lee, K. J., Sun, H. K. and Cho, Y. S. (2014). Estimation of the exponential distribution based on multiply type I hybrid censored sample. Journal of Korean Data & Information Science Society, 25, 633-641. https://doi.org/10.7465/jkdi.2014.25.3.633

Cited by

  1. Bayes estimation of entropy of exponential distribution based on multiply Type II censored competing risks data vol.26, pp.6, 2015, https://doi.org/10.7465/jkdi.2015.26.6.1573
  2. Estimation of entropy of the inverse weibull distribution under generalized progressive hybrid censored data vol.28, pp.3, 2014, https://doi.org/10.7465/jkdi.2017.28.3.659