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gamma distribution |
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gamma distribution
n (Mathematics & Measurements / Statistics) Statistics a continuous two-parameter distribution from which the chi-square and exponential distributions are derived, written Gamma (α, β), where α and β are greater than zero, and defined in terms of the gamma function Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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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. |
gamma distribution |
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