Abstract
This paper discusses interval estimation for the scale parameter, λ, of the gamma distribution based on grouped data. An approximate confidence interval of λ, is proposed. Monte Carlo simulation is also conducted in this article to test the performance of the approximate confidence interval of λ.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Archer, N. P. (1982) “Maximum likelihood estimation with Weibull models when the data are grouped,” Communications in Statistics A: Theory and Methods, 11, 199–207
Benn, K. and Sidebottom, S. (1976) “Maximum-likelihood estimation of location and scale parameters from grouped data,” Appl. Statistics, 25, 88–96
Cheng, K. F. and Chen, C. H. (1988) “Estimation of the Weibull parameters with grouped data,” Communications in Statistics A: Theory and Methods, 17, 325–341
David, H. A. (1981) Order Statistics, 2nd edition, John Wiley and Sons
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chen, Z., Mi, J. An approximate confidence interval for the scale parameter of the gamma distribution based on grouped data. Statistical Papers 42, 285–299 (2001). https://doi.org/10.1007/s003620100059
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s003620100059