The paper obtains a discrete analogue of the normal distribution as the distribution that is characterized by maximum entropy, specified mean and variance, and integer support on (-infinity, infinity). Two alternative characterizations are given, firstly as the distribution of the difference of two related Heine distributions, and secondly as a weighted distribution. (C) 1997 Elsevier Science B.V.</p
The method of maximum entropy is used in order to drive the normal distributions of order $r$ (see [...
As we mentioned in our previous works, sometimes in real life cases, it is very difficult to obtain ...
This paper extends maximum entropy estimation of discrete probability distributions to the continuou...
Shannon entropy of a probability distribution gives a weighted mean of a measure of information that...
Classical discrete distributions rarely support modelling data on the set of whole integers. In this...
12 pages, 1 article*Properties of Certain Discrete Distributions Suitable for Generating Approximate...
A new family of distributions, viz, Harris Discrete Uniform distribution is introduced. The various ...
Undoubtedly, the normal distribution is the most popular distribution in statistics. In this paper, ...
While many data processing techniques assume that we know the probability distributions, in practice...
• This article presents important properties of standard discrete distributions and its conjugate de...
When constructing discrete (binned) distributions from samples of a data set, applications exist whe...
Pearson-type distributions can be characterized by the ratio of the first and the second moments tru...
The constraints, under which some Lagrangian probability distributions can be obtained as maximum-en...
This article presents important properties of standard discrete distributions and its conjugate dens...
Texte intégral sur le site: https://www.scienpress.comIn this paper, we present three remarkable pro...
The method of maximum entropy is used in order to drive the normal distributions of order $r$ (see [...
As we mentioned in our previous works, sometimes in real life cases, it is very difficult to obtain ...
This paper extends maximum entropy estimation of discrete probability distributions to the continuou...
Shannon entropy of a probability distribution gives a weighted mean of a measure of information that...
Classical discrete distributions rarely support modelling data on the set of whole integers. In this...
12 pages, 1 article*Properties of Certain Discrete Distributions Suitable for Generating Approximate...
A new family of distributions, viz, Harris Discrete Uniform distribution is introduced. The various ...
Undoubtedly, the normal distribution is the most popular distribution in statistics. In this paper, ...
While many data processing techniques assume that we know the probability distributions, in practice...
• This article presents important properties of standard discrete distributions and its conjugate de...
When constructing discrete (binned) distributions from samples of a data set, applications exist whe...
Pearson-type distributions can be characterized by the ratio of the first and the second moments tru...
The constraints, under which some Lagrangian probability distributions can be obtained as maximum-en...
This article presents important properties of standard discrete distributions and its conjugate dens...
Texte intégral sur le site: https://www.scienpress.comIn this paper, we present three remarkable pro...
The method of maximum entropy is used in order to drive the normal distributions of order $r$ (see [...
As we mentioned in our previous works, sometimes in real life cases, it is very difficult to obtain ...
This paper extends maximum entropy estimation of discrete probability distributions to the continuou...