如果是rate parameter，Y=1/x~IG(a,b)
The gamma distribution is a two-parameter family of continuous probability distributions. It can be thought of as describing the waiting time until a certain number of events occur in a Poisson process with a given average rate. How do you calculate gamma distribution parameters? Gamma distributions...
其中 \alpha 被称为形状参数(shape parameter),主要决定了分布曲线的形状;\beta 称为率参数/逆尺度参数( rate parameter / inverse scale parameter)(\frac{1}{\beta}被称为尺度参数)。 这里尺度参数的定义和人大那本《数据科学统计基础》不一样,在该书的第52页中,伽马分布的定义如下:若X\sim Ga...
For the hierarchical inverse gamma and inverse gamma model, we calculate the Bayes posterior estimator of the rate parameter of the inverse gamma distribution under Stein's loss function which penalizes gross overestimation and gross underestimation equally and the corresponding Posterior Expected Stein's...
<< std::endl; std::cout << "Enter a floating point value for the 'alpha' distribution parameter (must be greater than zero): "; std::cin >> a_dist; std::cout << "Enter a floating point value for the 'beta' distribution parameter (must be greater than zero): "; std::cin >>...
其中α称为 shape parameter, 主要决定了分布曲线的形状;而β称为 rate parameter 或者inverse scale parameter (1/β称为scale parameter),主要决定曲线有多陡。 x=0:0.01:10; color=['b','g','r','k','c','y','m'] a=ones(length(x),10);%fori=1:10% a(:,i)=gampdf(x,i,1);%legend...
I'm dealing with a variation of the three-parameter Weibull distribution where the third parameter is randomly distributed over a Gamma distribution. The cdf takes the form: $$ G(x|\gamma) = 1-\exp\left[-\gamma\left(\frac{x}{\alpha}\right)^\beta \right] $$ $$ f(\gamma) = \fra...
Modified moment estimation for the three-parameter gamma distribution - Cohen, Whitten - 1986 () Citation Context ...lustrate the best case scenario; we refer to this model as GGM-het2. Several methods exist for the estimation of the parameters of this distribution (Hager and Bain, 1970; ...
gamma(<rate>) <rate>. Numeric value specifying the shape parameter for the distribution. This values must be greater than 0. Description Specifies a gamma distribution for the probability scale. Examples Figure 1. Example: Specifying a gamma distribution for the probability scale SCALE: prob(dim...
It is capable of describing the video service in the case of scenery change, and its specific feature of Gamma distribution follows fairly well the bit rate of a VBR video service. 该模型较理想地描述了场景切换下的视频业务模型,其Gamma分布特性较好地描述了VBR业务比特流的分布。 3. The main pu...