scholarly journals Efficient Estimation of the Density and Cumulative Distribution Function of the Generalized Rayleigh Distribution

2013 ◽  
Vol 10 (1) ◽  
pp. 1-22 ◽  
Author(s):  
M. Alizadeh ◽  
F. Bagheri ◽  
M. M. Khaleghy Moghaddam ◽  
◽  
◽  
...  
Keyword(s):  
Distribution Function ◽  
Cumulative Distribution Function ◽  
Rayleigh Distribution ◽  
Efficient Estimation ◽  
Cumulative Distribution ◽  
Generalized Rayleigh Distribution

scholarly journals Discrimination between Gamma and Rayleigh Models

2016 ◽  
Vol 1 (2) ◽  
pp. 89-92
Author(s):  
M. S. Ravikumar ◽  
R. R. L. Kantam
Keyword(s):  
Distribution Function ◽  
Gamma Distribution ◽  
Cumulative Distribution Function ◽  
Rayleigh Distribution ◽  
Cumulative Distribution ◽  
Life Testing

The two popular life testing models are considered to verify whether one can be an alternative to other. The motivation for this study is as follows. It is well known that the cumulative distribution function of Rayleigh distribution can be analytically inverted where as it is not so with Gamma distribution. Generally analytical inversion of cumulative distribution function would be advantageous in the study of problems of inference. “Whether this advantage can be explored in assessing the discrimination or otherwise of the two models” is studied in this paper.

DISSONANCE — A MEASURE OF VARIABILITY FOR ORDINAL RANDOM VARIABLES

2001 ◽  
Vol 09 (01) ◽  
pp. 39-53 ◽  
Author(s):  
RONALD R. YAGER
Keyword(s):  
Distribution Function ◽  
Cumulative Distribution Function ◽  
Probability Distributions ◽  
Random Variables ◽  
Cumulative Distribution ◽  
General Properties

We look at the issue of obtaining a variance like measure associated with probability distributions over ordinal sets. We call these dissonance measures. We specify some general properties desired in these dissonance measures. The centrality of the cumulative distribution function in formulating the concept of dissonance is pointed out. We introduce some specific examples of measures of dissonance.

Estimating the cumulative distribution function for the linear combination of gamma random variables

2017 ◽  
Vol 20 (5) ◽  
pp. 939-951
Author(s):  
Amal Almarwani ◽  
Bashair Aljohani ◽  
Rasha Almutairi ◽  
Nada Albalawi ◽  
Alya O. Al Mutairi
Keyword(s):  
Distribution Function ◽  
Linear Combination ◽  
Cumulative Distribution Function ◽  
Random Variables ◽  
Cumulative Distribution
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