Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
권호 표지
DOI QR코드

DOI QR Code

AMLEs for the Exponential Distribution Based on Multiply Type-II Censored Samples

  • Kang Suk-Bok (Department of Statistics, Yeungnam University) ;
  • Lee Sang-Ki (Department of Statistics, Yeungnam University)
  • Published : 2005.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

We propose some estimators of the location parameter and derive the approximate maximum likelihood estimators (AMLEs) of the scale parameter in the exponential distribution based on multiply Type-II censored samples. We calculate the moments for the proposed estimators of the location parameter, and the AMLEs which are the linear functions of the order statistics. We compare the proposed estimators in the sense of the mean squared error (MSE) for various censored samples.

Keywords

References

  1. 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
  2. Balasubramanian, K. and Balakrishnan, N. (1992). Estimation for one-parameter and two-parameter exponential distributions under multiple Type- II censoring, Statistische Hefte, 33, 203-216
  3. Johnson, N. L., Kotz, S., and Balakrishnan, N. (1994). Continuous Univariate Distributions, John Wiley & Sons, Inc
  4. Kang, S. B. (1996). Approximate MLE for the scale parameter of the double exponential distribution based on Type-Il censored samples, Journal of the Korean Mathematical Society, 33, 69-79
  5. Kang, S. B. (2003). Approximate MLEs for exponential distribution under multiple Type-II censoring, Journal of the Korean Data & Information Science Society, 14, 983-988
  6. Kang, S. B., Cho, Y. S., and Han, J. T. (2005). Estimation for the double exponential distribution based on Type-II censored samples, Journal of the Korean Data & Information Science Society, 16, 115-126
  7. Upadhyay, S. K., Singh, U, and Shastri, V. (1996). Estimation of exponential parameters under multiply Type-II censoring, Communications in Statistics- Simulation and Computation, 25, 801 -815 https://doi.org/10.1080/03610919608813343

Cited by

  1. An Estimation of the Entropy for a Double Exponential Distribution Based on Multiply Type-II Censored Samples vol.14, pp.12, 2012, https://doi.org/10.3390/e14020161