×

Sampling properties of estimators of the log-logistic distribution with application to Canadian precipitation data. (English) Zbl 0667.62019


MSC:

62F12 Asymptotic properties of parametric estimators
62F10 Point estimation
62P99 Applications of statistics
Full Text: DOI

References:

[1] Aczel, Lectures on Functional Equations and Their Applications (1966)
[2] Bennett, Log-logistic regression models for survival data, Appl. Statist. 32 pp 165– (1983)
[3] Burr, Cumulative frequency functions, Ann. Math. Statist. 13 pp 215– (1942) · Zbl 0060.29602
[4] Chernoff, Asymptotic distribution of linear combinations of functions of order statistics with applications to estimation, Ann. Math. Statist. 38 pp 52– (1967) · Zbl 0157.47701
[5] Greenwood, Probability weighted moments: Definition and relation to parameters of several distributions expressible in inverse form, Water Resources Res. 15 pp 1049– (1979)
[6] Hosking, Estimation of the generalized extreme-value distribution by the method of probability-weighted moments, Technometrics 27 pp 251– (1985)
[7] IMSL Library (1987). International Mathematical and Statistical Libraries, Houston.
[8] Kendall, The Advanced Theory of Statistics 1 (1977)
[9] Landwehr, Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles, Water Resources Res. 15 pp 1055– (1979)
[10] Mielke, Three-parameter kappa distribution maximum likelihood estimates and likelihood ratio tests, Monthly Weather Rev. 101 pp 701– (1973)
[11] Shenton, Maximum-Likelihood Estimation in Small Samples (1977)
[12] Tadikamalla, Systems of frequency curves generated by transformations of logistic variables, Biometrika 69 pp 461– (1982)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.