RCS characterization of sea clutter by using the α-stable distributions

2012 ◽  
Author(s):  
A. Fiche ◽  
A. Khenchaf ◽  
A. Martin ◽  
M. Rochdi ◽  
J.-C. Cexus
Keyword(s):  
Stable Distributions ◽  
Sea Clutter

A functional equation and its application to the characterization of the Weibull and stable distributions

1976 ◽  
Vol 13 (2) ◽  
pp. 385-391 ◽  
Author(s):  
Y. H. Wang
Keyword(s):  
Functional Equation ◽  
Weibull Distribution ◽  
Exponential Distribution ◽  
Stable Distribution ◽  
Stable Distributions ◽  
Cauchy Functional Equation ◽  
Linear Statistics

The Cauchy functional equation Φ(x + y) = Φ(x) + Φ(y) is generalized to the form , assuming Φ is left- or right- continuous. This result is used to obtain (1) a characterization of the Weibull distribution, in the spirit of the memoryless property of the exponential distribution, by , for all x, y ≧ 0;(2) a characterization of the symmetric α-stable distribution by the equidistribution of linear statistics.

Sign in / Sign up

Export Citation Format

Share Document