299
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Some simple estimators for the two-parameter gamma distribution

, , &
Pages 2425-2437 | Received 11 Jul 2017, Accepted 22 Feb 2018, Published online: 07 May 2018

References

  • Abramowitz, M., and I. A. Stegun, (eds). 1972. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover Publications.
  • Aksoy, H. 2000. Use of gamma distribution in hydrological analysis. Turk. J. Engin. Environ. Sci. 24:419–28.
  • Balakrishnan, N., and X. Zhu. 2014. An improved method of estimation for the parameters of the Birnbaum-Saunders distribution. J. Statist. Comp. Simul. 84:2285–94.
  • Bhaumik, D. K., and R. D. Gibbons. 2006. One-sided approximate prediction intervals for at least p of m observations from a gamma population at each of r locations. Technometrics 48:112–19.
  • Birnbaum, Z. W., and S. C. Saunders. 1969. Estimation for a family of life distributions with applications to fatigue. J. Appl. Prob. 1969:328–47.
  • Bowman, K. O., and L. R. Shenton. 1988. Properties of Estimators for the Gamma Distribution. New York: Marcel Dekker.
  • Choi, S., and R. Wette. 1969. Maximum likelihood estimation of the parameters of the gamma distribution and their bias. Technometrics 11:683–90.
  • Damsleth, E. 1975. Conjugate classes for gamma distributions. Scand. J. Statist. 2:80–84.
  • DasGupta, A. 2008. Asymptotic Theory of Statistics and Probability. New York: Springer.
  • Davis, D. J. 1952. An analysis of some failure data. J. Amer. Statist. Assoc. 47:113–50.
  • Engelhardt, M., and L. Bain. 1977. Uniformly most powerful unbiased tests on the scale parameter of a gamma distribution with a nuisance shape parameter. Technometrics 19:77–81.
  • Gross, A. J., and V. A. Clark. 1975. Survival Distributions: Reliability Applications in the Biomedical Sciences. New York: John Wiley & Sons.
  • Gupta, R. D., and D. Kundu. 1999. Generalized exponential distributions. Aust. NZ J. Statist. 41:173–88.
  • Hwang, T.-Y., and P.-H. Huang. 2002. On new moment estimation of parameters of the gamma distribution using its characterization. Ann. Inst. Statist. Math. 54:840–47.
  • Jeon, Y., and J. H. T. Kim. 2013. A gamma kernel density estimation for insurance loss data. Insur. Math. Econ. 53:569–79.
  • Jones, M. C. 2008. On reciprocal symmetry. J. Statist. Plann. Infer. 138:3039–43.
  • Kotz, S., N. Balakrishnan, and N. L. Johnson. 2000. Continuous Multivariate Distributions, Volume 1: Models and Applications, 2nd ed. New York: John Wiley & Sons.
  • Miller, R. B. 1980. Bayesian analysis of the two-parameter gamma distribution. Technometrics 22:65–69.
  • Mudholkar, G. S., and H. Wang. 2007. IG-symmetry and R-symmetry: interrelations and applications to the inverse Gaussian theory. J. Statist. Plann. Infer. 137:3655–71.
  • Ng, H. K. T., D. Kundu, and N. Balakrishnan. 2003. Modified moment estimation for the two-parameter Birnbaum-Saunders distribution. Comp. Statist. Data Anal. 43:283–98.

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.