论文信息 - Optimum class limits for ml estimation in two-parameter gamma distribution from a grouped data

Optimum class limits for ml estimation in two-parameter gamma distribution from a grouped data

Kulldorff (1961) studied the maximum likelihood (ML) estimation of the parameters in exponential and normal distributions from grouped and partially grouped data. In this paper, an attempt is made to estimate the parameters in a two-parameter gamma distribution from a grouped sample using the ML method. Asymptotically optimum group intervals and the asymptotic loss in efficiency due to grouping are worked out for ML estimators of the parameters with optimum grouping.

[1] D. Lindley. Grouping corrections and maximum likelihood equations , 1950, Mathematical Proceedings of the Cambridge Philosophical Society.

[2] Albert H. Moore,et al. Maximum-Likelihood Estimation of the Parameters of Gamma and Weibull Populations from Complete and from Censored Samples , 1965 .

[3] A. Mercer,et al. Contributions to the Theory of Estimation from Grouped and Partially Grouped Samples , 1963 .

[4] M. Schader,et al. Small sample properties of the maximum likelihood estimators of the parameters μ and σ from a grouped sample of a normal population , 1988 .

[5] Calyampudi R. Rao,et al. Advanced Statistical Methods in Biometric Research. , 1953 .

[6] P ArcherN.. Maximam likelihood estimation with welbull models when the data are grouped , 1982 .

[7] S. Blumenthal. Estimating N with time grouped and truncated data from a scale parameter distribution , 1987 .

[8] S. Sinha,et al. Reliability and life testing , 1986 .

[9] S. C. Choi,et al. Maximum Likelihood Estimation of the Parameters of the Gamma Distribution and Their Bias , 1969 .

[10] Calyampudi R. Rao,et al. Advanced Statistical Methods in Biometric Research. , 1953 .

[11] On the relative efficiency of grouped and censored survival data , 1989 .

[12] R. H. Myers,et al. Maximum Likelihood Estimation from Grouped Poisson Data , 1971 .