Closed-form parameter estimates for a truncated gamma distribution

Environmetrics

Volumn 18, Issue 6, 2007, Pages 633-645

  Brawn, Dan ^a   Upton, Graham ^a  

^a UNIVERSITY OF ESSEX   (United Kingdom)

Author keywords

Disdrometer; Gamma distribution; Parameter estimation; Raindrops; Truncation

Indexed keywords

ESTIMATION METHOD; MAXIMUM LIKELIHOOD ANALYSIS; PARAMETERIZATION; RAINDROP;

EID: 34548423126     PISSN: 11804009     EISSN: 1099095X     Source Type: Journal    
DOI: 10.1002/env.841     Document Type: Article

References (17)

1. Ahrens JH, Dieter U. 1974. Computer methods for sampling from gamma, beta, Poisson and binomial distributions. Computing 12: 223-246.
2. Chapman DG. 1956. Estimating the parameters of a truncated gamma distribution. Annals of Mathematical Statistics 27: 498-506.
3. Dahiya RC, Gurland J. 1978. Estimating the parameters of a gamma distribution. Trabajos de Estadistica y de Investigacion Operativa 29: 81-87.
4. Efron B, Tibshirani RJ. 1993. An Introduction to the Bootstrap. Chapman & Hall: New York.
5. Joffe AD. 1967. Minimum chi-squared estimation using independent statistics. Annals of Mathematical Statistics 38: 267-270.
6. Johnson NL, Kotz S, Balakrishnan N. 1994. Continuous Univariate Distributions, Vol. 1. John Wiley & Sons: New York.
7. Joss J, Waldvogel A. 1977. Comments on 'Some observations on the Joss-Waldvogel rainfall disdrometer'. Journal of Applied Meteorology 16: 112-113.
8. Kinnell PIA. 1976. Some observations on the Joss-Waldvogel rainfall disdrometer. Journal of Applied Meteorology 15: 499-502.
9. Marshall JS, Palmer WMK. 1948. The distribution of raindrops with size. Journal of Meteorology 5: 165-166.
10. Rosaiah K, Kantam RRL, Narasimahm VL. 1991. Optimum class limits for ml estimation in 2-parameter gamma distribution from a grouped data. Communications in Statistics-Stimulation and Computation 20: 1173-1189.
11. Smith JA. 1993. Marked point process of raindrop-size distributions. Journal of Applied Meteorology 32: 284-296.
12. Smith PL. 2003. Raindrop size distributions: exponential or gamma - does the difference matter? Journal of Applied Meteorology 42: 1031-1034.
13. Smith PL, Kliche DV. 2005. The bias in moment estimators for parameters of drop-size distribution functions: sampling from exponential distributions. Journal of Applied Meteorology 44: 1195-1205.
14. Tokay A, Short DA. 1996. Evidence from tropical raindrop spectra of the origin of rain from stratiform versus convective clouds. Journal of Applied Meteorology 35: 355-371.
15. Ulbrich CW. 1983. Natural variations in the analytical form of raindrop size distributions. Journal of Climate and Applied Meteorology 22: 1764-1775.
16. Ulbrich CW, Atlas D. 1998. Rainfall microphysics and radar properties: Analysis methods for drop size spectra. Journal of Applied Meteorology 37: 912-923.
17. Willis PT. 1984. Functional fits to some observed drop size distribution and parameterization of rain. Journal of the Atmospheric Sciences 41: 1648-1661.