A maximum entropy theorem for complex-valued random vectors, with implications on capacity

2011 ◽  
Author(s):  
Georg Taubock
Keyword(s):  
Maximum Entropy ◽  
Random Vectors ◽  
Complex Valued

scholarly journals Tests for circular symmetry of complex-valued random vectors

Test ◽  
2021 ◽  
Author(s):  
Norbert Henze ◽  
Pierre Lafaye De Micheaux ◽  
Simos G. Meintanis
Keyword(s):  
Random Vectors ◽  
Circular Symmetry ◽  
Complex Valued

scholarly journals Cubature rules and expected value of some complex functions

2019 ◽  
Vol 10 (1) ◽  
pp. 115-127
Author(s):  
Claudia Fassino ◽  
Eva Riccomagno ◽  
Maria Piera Rogantin
Keyword(s):  
Expected Value ◽  
Indicator Function ◽  
Algebraic Statistics ◽  
Random Vectors ◽  
Designed Experiments ◽  
Gaussian Random Vector ◽  
Complex Functions ◽  
Designed Experiment ◽  
Set Up ◽  
Complex Valued

The expected value of some complex valued random vectors is computed by means of the indicator function of a designed experiment as known in algebraic statistics. The general theory is set-up and results are obtained for nite discrete random vectors and the Gaussian random vector. The precision space of some cubature rules/designed experiments are determined.

Stochasting modeling of planetary ring systems

1984 ◽  
Vol 75 ◽  
pp. 461-469 ◽  
Author(s):  
Robert W. Hart
Keyword(s):  
Maximum Entropy ◽  
Ring System ◽  
The Sun ◽  
Ultimate State ◽  
Interparticle Interactions ◽  
Ring Systems ◽  
First Order ◽  
Planetary Ring ◽  
Insight Into

ABSTRACTThis paper models maximum entropy configurations of idealized gravitational ring systems. Such configurations are of interest because systems generally evolve toward an ultimate state of maximum randomness. For simplicity, attention is confined to ultimate states for which interparticle interactions are no longer of first order importance. The planets, in their orbits about the sun, are one example of such a ring system. The extent to which the present approximation yields insight into ring systems such as Saturn's is explored briefly.

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