Testing equality of scale parameters against restricted alternatives form≥3 gamma distributions with unknown common shape parameter

2001 ◽  
Vol 69 (4) ◽  
pp. 353-368 ◽  
Author(s):  
Bhaskar. Bhattacharya
Keyword(s):  
Shape Parameter ◽  
Scale Parameters ◽  
Gamma Distributions ◽  
Common Shape

Comparing scale parameters in several gamma distributions with known shapes

2020 ◽  
Vol 35 (4) ◽  
pp. 1927-1950
Author(s):  
Ali Akbar Jafari ◽  
Javad Shaabani
Keyword(s):  
Scale Parameters ◽  
Gamma Distributions

Modified Goodness-of-Fit Tests for Gamma Distributions with Unknown Location and Scale Parameters

1984 ◽  
Vol R-33 (3) ◽  
pp. 241-245 ◽  
Author(s):  
Brian W. Woodruff ◽  
Philip J. Viviano ◽  
Albert H. Moore ◽  
Edward J. Dunne
Keyword(s):  
Goodness Of Fit ◽  
Scale Parameters ◽  
Goodness Of Fit Tests ◽  
Gamma Distributions

scholarly journals Gamma distributions for stationary Poisson flat processes

2009 ◽  
Vol 41 (4) ◽  
pp. 911-939 ◽  
Author(s):  
Volker Baumstark ◽  
Günter Last
Keyword(s):  
Poisson Process ◽  
Gamma Distribution ◽  
Shape Parameter ◽  
Voronoi Tessellation ◽  
Isotropic Case ◽  
Intensity Measure ◽  
First Case ◽  
Gamma Distributions ◽  
The Face ◽  
The Mean

We consider a stationary Poisson process X of k-flats in ℝd with intensity measure Θ and a measurable set S of k-flats depending on F1,…,Fn∈ X, x∈ℝd, and X in a specific equivariant way. If (F1,…,Fn,x) is properly sampled (in a ‘typical way’) then Θ(S) has a gamma distribution. This result generalizes and unifies earlier work by Miles (1971), Møller and Zuyev (1996), and Zuyev (1999). As a new example, we will show that the volume of the fundamental region of a typical j-face of a stationary Poisson–Voronoi tessellation is conditionally gamma distributed. This is true in the area-biased and the area-debiased cases. In the first case the shape parameter is not integer valued. As another new example, we will show that the generalized integral-geometric contents of the (area-biased and area-debiased) typical j-face of a Poisson hyperplane tessellation are conditionally gamma distributed. In the isotropic case the contents boil down to the mean breadth of the face.

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