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 for generalized half logistic distribution based on records

  • Received : 2012.10.12
  • Accepted : 2012.11.12
  • Published : 2012.11.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we derive maximum likelihood estimators (MLEs) and approximate MLEs (AMLEs) of the unknown parameters in a generalized half logistic distribution when the data are upper record values. As an illustration, we examine the validity of our estimation using real data and simulated data. Finally, we compare the proposed estimators in the sense of the mean squared error (MSE) through a Monte Carlo simulation for various record values of size.

Keywords

References

  1. Ahmadi, J. and Balakrishnan, N. (2011). Distribution-free prediction intervals for order statistics based on record coverage. Journal of the Korean Statistical Society, 40, 181-192. https://doi.org/10.1016/j.jkss.2010.09.003
  2. Ahsanullah, M. (1995). Record statistics, Nova Science Publishers, New York
  3. Arora, S. H., Bhimani, G. C. and Patel, M. N. (2010). Some results on maximum likelihood estimators of parameters of generalized half logistic distribution under Type-I progressive censoring with changing. International Journal of Contemporary Mathematical Sciences, 5, 685-698.
  4. Balakrishnan, N. (1989). Approximate MLE of the scale parameter of the Rayleigh distribution with censoring. IEEE Transactions on Reliability, 38, 355-357. https://doi.org/10.1109/24.44181
  5. Balakrishnan, N. and Puthenpura, N. (1986). Best linear unbiased estimators of location and scale parameters of the half logistic distribution. Journal of Statistics and Computer Simulation, 25, 193-204. https://doi.org/10.1080/00949658608810932
  6. 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
  7. Balakrishnan, N., Ahsanullah, M. and Chan, P. S. (1992). Relations for single and product moments of record values from Gumbel distribution. Statistical and Probability Letters, 15, 223-227. https://doi.org/10.1016/0167-7152(92)90193-9
  8. Baratpour, S., Ahmadi, J. and Arghami, N. R. (2007). Entropy properties of record statistics. Statistical Papers, 48, 197-213. https://doi.org/10.1007/s00362-006-0326-7
  9. Chandler, K. N. (1952). The distribution and frequency of record values. Journal of the Royal Statistical Society B, 14, 220-228.
  10. Han, J. T., Kang, S. B. and Cho, Y. S. (2007). Reliability estimation in an exponentiated logistic distribution under multiply Type-II censoring. Journal of the Korean Data & Information Science Society, 18, 1081-1091.
  11. Han, J. T. and Kang, S. B. (2008). Estimation for the half triangle distribution based on progressively Type-II censored samples. Journal of the Korean Data & Information Science Society, 19, 951-957.
  12. Hinkley, D. (1977). On quick choice of power transformations. The American Statistician, 26, 67-69.
  13. Kang S. B. and Park, Y. K. (2005). Estimation for the half logistic distribution based on multiply Type-II censored samples. Journal of the Korean Data & Information Science Society, 16, 145-156.
  14. Kang S. B. and Seo, J. I. (2011). Estimation in an exponentiated half logistic distribution under progressively type-II censoring. Communications of the Korean Statistical Society, 18, 657-666. https://doi.org/10.5351/CKSS.2011.18.5.657
  15. Kang, S. B., Cho, Y. S. and Han, J. T. (2008). Estimation for the half logistic distribution under progressively Type-II censoring. Communications of the Korean Statistical Society, 15, 815-823. https://doi.org/10.5351/CKSS.2008.15.6.815
  16. Kang, S. B., Cho, Y. S. and Han, J. T. (2009). Estimation for the half logistic distribution based on double hybrid censored samples. Communications of the Korean Statistical Society, 16, 1055-1066. https://doi.org/10.5351/CKSS.2009.16.6.1055
  17. 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.
  18. Kim, Y. K., Kang, S. B. and Seo, J. I. (2011). Bayesian estimation in the generalized half logistic distribution under progressively Type-II censoring. Journal of the Korean Data & Information Science Society, 22, 977-987.
  19. Kim, Y. K., Kang, S. B., Han, S. H. and Seo, J. I. (2011). Profile likelihood estimation of generalized half logistic distribution under progressively Type-II censoring. Journal of the Korean Data & Information Science Society, 22, 597-603.
  20. Torabi, H. A. and Bagheri F. L. (2010). Estimation of parameters for an extended generalized half logistic distribution based on complete and censored data. Journal of the Iranian Statistical Society, 9, 171-195.

Cited by

  1. Estimation and testing procedures for the reliability functions of generalized half logistic distribution vol.45, pp.2, 2016, https://doi.org/10.1016/j.jkss.2015.11.007
  2. A study of risks of Bayes estimators in the generalized half-logistic distribution for progressively type-II censored samples vol.137, 2017, https://doi.org/10.1016/j.matcom.2016.09.003
  3. Generalized half-logistic Poisson distributions vol.24, pp.4, 2017, https://doi.org/10.5351/CSAM.2017.24.4.353
  4. On diagnostic devices for proposing half-logistic and inverse half-logistic models using generalized (k) record values pp.1532-415X, 2018, https://doi.org/10.1080/03610926.2018.1423697
  5. Dynamic cumulative residual Rényi entropy for Lomax distribution: Bayesian and non-Bayesian methods vol.6, pp.4, 2021, https://doi.org/10.3934/math.2021231
  6. Bayesian Analysis of Dynamic Cumulative Residual Entropy for Lindley Distribution vol.23, pp.10, 2012, https://doi.org/10.3390/e23101256