198
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Bayes estimation for the Block and Basu bivariate and multivariate Weibull distributions

&
Pages 170-182 | Received 27 Jul 2014, Accepted 19 Dec 2014, Published online: 19 Jan 2015

References

  • Gumbel EJ. Bivariate exponential distribution. J Am Statist Assoc. 1960;55:698–707. doi: 10.1080/01621459.1960.10483368
  • Freund JE. A bivariate extension of the exponential distribution. J Am Statist Assoc. 1961;56:971–977. doi: 10.1080/01621459.1961.10482138
  • Henrich G, Jensen U. Parameter estimation for a bivariate lifetime distribution in reliability with multivariate extension. Metrika. 1995;42:49–65. doi: 10.1007/BF01894288
  • Marshall AW, Olkin I. A multivariate exponential distribution. J Am Statist Assoc. 1967;62:30–44. doi: 10.1080/01621459.1967.10482885
  • Downton F. Bivariate exponential distributions in reliability theory. J R Statist Soc B. 1970;32:508–417.
  • Block H, Basu AP. A continuous bivariate exponential extension. J Am Statist Assoc. 1974;69:1031–1037.
  • Balakrishnan N, Basu AP. Exponential distribution: theory, methods and applications. New York: Wiley; 1995.
  • Johnson NL, Kotz S, Balakrishnan N. Continuous univariate distribution, Vol. 1. New York: Wiley; 1995.
  • Balakrishnan N, Lai CD. Continuous bivariate distribution. 2nd ed. New York: Springer; 2009.
  • Kundu D, Gupta RD. A class of absolutely continuous bivariate distributions. Statist Methodol. 2010;7:464–477. doi: 10.1016/j.stamet.2010.01.004
  • Achcar JA, Santander LAM. Use of approximate Bayesian methods for the Block and Basu bivariate exponential distribution. J Ital Statist Soc. 1993;3:233–250. doi: 10.1007/BF02589063
  • Pena EA, Gupta A.K.. Bayes estimation for the Marshall–Olkin exponential distribution. J R Statist Society, Ser. B. 1990;52:379–389.
  • Berger JO, Sun D. Bayesian analysis for Poly-Weibull distribution. J Am Statist Assoc. 1993;88:1412–1418. doi: 10.1080/01621459.1993.10476426
  • Kundu D. Bayesian inference and life testing plan for Weibull distribution in presence of progressive censoring. Technometrics. 2008;50:144–154. doi: 10.1198/004017008000000217
  • Kundu D, Gupta AK. Bayes estimation for the Marshall–Olkin bivariate Weibull distribution. Comput Stat Data Anal. 2013;57:271–281. doi: 10.1016/j.csda.2012.06.002
  • Mukhopadhyay C, Basu AP. Bayesian analysis of incomplete time and cause of failure time. J Statist Plan Inference. 1997;59:79–100. doi: 10.1016/S0378-3758(96)00103-6
  • Devroye L. A simple algorithm for generating random variables with log-concave density. Computing. 1984;33:247–257. doi: 10.1007/BF02242271
  • Johnson RA, Wichern DW. Applied multivariate analysis. 4th ed. Englewood Cliffs (NJ): Prentice-Hall; 1999.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.