Journal of the Korean Data and Information Science Society

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

Estimation for the half triangle distribution based on Type-I hybrid censored samples

  • Kang, Suk-Bok (Department of Statistics, Yeungnam University) ;
  • Cho, Young-Seuk (Department of Statistics, Pusan National University) ;
  • Han, Jun-Tae (National Health Insurance Policy Research Institute, National Health Insurance)
  • Published : 2009.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

A hybrid censoring is a mixture of Type-I and Type-II censoring schemes. This paper deals with estimation based on Type-I hybrid censored samples from the half triangle distribution. We derive some estimators of the scale parameter of the half triangle distribution based on Type-I hybrid censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples.

Keywords

References

  1. Balakrishnan, N. and Nevzovor, V. B. (2003). A primer on statistical distributions , John Wiley & Sons, New York.
  2. Cheng, R. C. A. and Amin, N. A. K. (1983). Estimating parameters in continuous univariate distributions with a shifted origin. Journal of the Royal Statistical Society, Series B, 45, 394-403.
  3. 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.
  4. Epstein, B. (1954). Truncated life tests in the exponential case. Annals of the Institute of Statistical Mathematics, 25, 555-564. https://doi.org/10.1214/aoms/1177728723
  5. Johnson, D. (1997). The triangular distribution as a proxy for the beta distribution in risk analysis. The Statistician, 46, 387-398.
  6. Kang, S. B. (2007). Estimation in a half-triangle distribution based on multiply Type-II censored samples. Journal of the Korean Data & Information Science Society, 18, 793-801.
  7. 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.
  8. Woo, J. (2007). Reliability in a half-triangle distribution and skew-symmetric distribution. Journal of the Korean Data & Information Science Society, 18, 543-552.