Results 251 to 260 of about 7,036,065 (293)

Integral Probability Metrics and Their Generating Classes of Functions

Advances in Applied Probability, 1997
We consider probability metrics of the following type: for a class of functions and probability measures P, Q we define A unified study of such integral probability metrics is given. We characterize the maximal class of functions that generates such a metric. Further, we show how some interesting properties of these probability metrics arise directly
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Algorithms for generating random variables with a rational probability-generating function

International Journal of Computer Mathematics, 2014
Two algorithms for generating random variables with a rational probability-generating function are presented. One of them implements the recently developed general range reduction method, and the other is an extension of the alias method designed for generating discrete finite-valued random variables to the case where the generated random variable is ...
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The calculation of the probability of detection and the generalized Marcum Q-function

IEEE Transactions on Information Theory, 1989
The probability of detection of N integrated incoherently received signal samples of constant received signal-to-noise ratio, X, with a normalized detection threshold, Y, is presented. Other expressions which are less reliable, and less accurate for \(P_ N(X,Y)\) are discussed.
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Probability generating functions of a MPSD with applications

Series Statistics, 1982
In this paper, a general method of obtaining the probability generating function (pgf) of a Modified Power Series distribution (MPSD), introduced by GUPTA (1974), is presented. This method is employed to derive the pgf of generalized negative binomial, generalized Poisson, generalized logarithmic series and the lost game distribution.
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On the Recognition and Structure of Probability Generating Functions

1997
If $$ M\left( s \right) = 1 - {e^{ - \pi (s)}} $$ is a probability generating function, the coefficients π j in the MacLaurin expansion π(s) comprise a harmonic renewal sequence. A simple sufficient condition is given which ensures that a non-negative sequence is harmonic renewal. This condition covers the case of the limiting conditional law of
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Probability-Generating Functions

2022
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A novel chaos based generating function of the Chebyshev polynomials and its applications in image encryption

Chaos, Solitons and Fractals, 2021
Ali Boussayoud, Halima Bahi, Abdelkrim Boukabou   +2 more
exaly  

Jensen-information generating function and its connections to some well-known information measures

Statistics and Probability Letters, 2021
Omid Kharazmi
exaly  

Optimal information, Jensen-RIG function and α-Onicescu’s correlation coefficient in terms of information generating functions

Physica A: Statistical Mechanics and Its Applications, 2023
Javier E Contreras-Reyes, Omid Kharazmi
exaly  

Information Generating Function of Ranked Set Samples

Entropy, 2021
Mostafa Tamandi, Omid Kharazmi
exaly