108/1/2 高正雄 教授(國立中正大學數學系)
主講人: 高正雄 教授 (國立中正大學數學系)
題 目： Examples And Formulation To Apply Non-Erlang
Gamma Distribution And Multivariate Beta Distribution
The Erlang gamma distribution denoted by gamma( κ , λ ) with κ > ο being positive integer is widely known and its probability density function (pdf) is obtainable through use of Poisson distribution, and there are plentiful examples of its practical use. However, non-Erlang gamma distribution denoted by gamma (α,λ) with real number α>ο has been only defined mathematically by using the form of Γ (α), the gamma function(α> ο ), and no practical example of using non-Erlang gamma distribution has been available.
In this talk, examples of practical application of non-Erlang gamma distribution, gamma (α, λ ) (α > ο ), will be presented to illustrate the usage procedure. The ratios of disjoint portions of a non-Erlang gamma quantity form jointly a multivariate beta distribution. Such multivariate beta distributions will also be formulated and explained on their practical use.
日 期：108年1月2日(星期三) 16:10~17:00
茶 會： 15:30~16:00數學館四樓409室舉行