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- Title
Closed-form parameter estimates for a truncated gamma distribution.
- Authors
Brawn, Dan; Upton, Graham
- Abstract
This article introduces a computationally simple procedure to model the distribution of raindrop diameters. The typically used recording instruments (known as disdrometers) are unable to record the sizes of the smallest drops, so that the recorded distribution (which consists of group frequencies) is truncated. Using a combination of moment relationships and weighted linear regression to give explicit formulae for parameter estimates, we compare the performance of these estimates with both maximum likelihood and moment estimates for untruncated, singly truncated and doubly truncated gamma distributions. We show that our simple closed-form estimates compare favourably with the optimal maximum likelihood estimates.
- Subjects
RAINDROPS; MEASUREMENT-model comparison; GAMMA functions; PARAMETER estimation; RECORDING instruments; REGRESSION analysis; ESTIMATION theory
- Publication
Environmetrics, 2007, Vol 18, Issue 6, p633
- ISSN
1180-4009
- Publication type
Article
- DOI
10.1002/env.841