Effect of hypersymmetry and atomic heterogeneity on cumulative distribution function

1989 ◽  
Vol 189 (3-4) ◽  
Author(s):  
Sikha Ghosh ◽  
G. D. Nigam
Keyword(s):  
Distribution Function ◽  
Series Expansion ◽  
Cumulative Distribution Function ◽  
Cumulative Distribution ◽  
Structure Amplitude

AbstractA series expansion distribution function of the structure amplitude |

scholarly journals On the Generalized Lognormal Distribution

2013 ◽  
Vol 2013 ◽  
pp. 1-15 ◽  
Author(s):  
Thomas L. Toulias ◽  
Christos P. Kitsos
Keyword(s):  
Distribution Function ◽  
Uniform Distribution ◽  
Series Expansion ◽  
Lognormal Distribution ◽  
Cumulative Distribution Function ◽  
Shape Parameter ◽  
Error Function ◽  
Cumulative Distribution ◽  
Dirac Distribution

This paper introduces, investigates, and discusses the -order generalized lognormal distribution (-GLD). Under certain values of the extra shape parameter , the usual lognormal, log-Laplace, and log-uniform distribution, are obtained, as well as the degenerate Dirac distribution. The shape of all the members of the -GLD family is extensively discussed. The cumulative distribution function is evaluated through the generalized error function, while series expansion forms are derived. Moreover, the moments for the -GLD are also studied.

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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