Advanced search
Publication Cover
Cogent Mathematics & Statistics Volume 5, 2018 - Issue 1
Submit an article Journal homepage
589
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Sampling theorem and efficiency comparison of three local minimum variance unbiased estimators of the mean and variance of the exponential distribution

Guoan LiDepartment of Financial Engineering, Ningbo University, Ningbo, ChinaORCID Iconhttps://orcid.org/0000-0002-2550-8594View further author information
ORCID Icon &
Muzhen LiDepartment of Statistics, University of Missouri-Columbia, Columbia, Missouri, USACorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-0392-9304View further author information
ORCID Icon |
Guohua ZouChinese Academy of Sciences, ChinaView further author information
(Reviewing editor)
Article: 1492886 | Received 19 Sep 2017, Accepted 17 Jun 2018, Published online: 19 Jul 2018

References

  • Al-Saleh, M. F., & Al-Hadhrami, S. A. (2003). Estimation of the mean of the exponential distribution using moving extremes ranked set sampling. Statistical Papers, 44, 367–382. doi:10.1007/s00362-003-0161-z
  • Arnold, B. C. (1968). Parameter estimation for a multivariate exponential distribution. Journal of American Statistical Association, 63, 848–852.
  • Baklizi, A., & Dayyeh, W. A. (2003). Shrinkage estimation of P(Y<X)in the exponential case. Communications in Statistics - Simulation and Computation, 32(1), 31–42.
  • Cohen, A. C., & Helm, E. R. (1973). Estimation in the exponential distribution. Technometrics, 15(2), 415–418. doi:10.1080/00401706.1973.10489054
  • Dixit, U. J., & Nasiri, P. N. (2008). Estimation of parameters of a right truncated exponential distribution. Statistical Papers, 49, 225–236. doi:10.1007/s00362-006-0008-5
  • Guoan, L., Jianfeng, L., & Lihong, W. (2017). Parameter estimation for the multivariate exponential distribution which has a location parameter under censored samples or complete samples. Journal of Systems Science & Mathematical Sciences, 37(8), 1854–1865. (in Chinese) Research field.
  • Gupta, R. D., & Kundu, D. 0000. Generalized exponential distributions. Australian and New Zealand. doi:10.1111/1467-842X.00072
  • Kundu, D., & Gupta, R. D. (2009). Bivariate generalized exponential distributions. Journal of Multivariate Analysis, 100, 581–593. doi:10.1016/j.jmva.2008.06.012
  • Lawrance, A. J., & Lewis, P. A. W. (1983). Simple dependent pairs of exponential and uniform random variables. Operations Research, 31, 1179–1197. doi:10.1287/opre.31.6.1179
  • Li, G. A. (2016). Sampling fundamental theorem for exponential distribution with application to parameter estimation in the four-parameter bivariate exponential distribution of Marshall and Olkin. Statistical Research, 33(7), 98–102. (inChinese).
  • Marshall, A. W., & Olkin, I. (1967). A multivariate exponential distribution. Journal of American Statistical Association, 62(1), 30–44. doi:10.1080/01621459.1967.10482885
  • Nie, K., Sinha, B. K., & Hedayat, A. S. (2017). Unbiased estimation of reliability function from a mixture of two exponential distributions based on a single observation. Statistics and Probability Letters, 127, 7–13. doi:10.1016/j.spl.2017.03.026

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.