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gamma distribution

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gamma distribution [¦gam·ə ‚dis·trə′byü·shən]
(statistics)
A normal distribution whose frequency function involves a gamma function. Also known as Erlang distribution.


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A gamma distribution with density g(x) = [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], x > 0 ([beta], [lambda] > 0), has the moment generating function (mgf) [phi](s) = [[integral].
This second edition provides extended coverage of Poisson and Gamma distributions, a new chapter on Bayesian inference for Poisson observations , a new chapter on Bayesian inference for the standard deviation for normal observations, new exercises, a calculus refresher appendix, and new computer tables that use R functions and Minitab macros for Bayesian analysis and Monte Carlo simulations.
The basic principle of the EB method comes from the realization that the parameters for the gamma distribution can be estimated from individual vessel bycatches, and that the resulting EB estimators of individual vessel bycatch rates should provide estimates of individual bycatch rates that have smaller total mean squared error (TMSE) than the individual vessel bycatch rates estimated independently.
 
 
 
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