Characterization of Probability Distributions
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Probability and Statistics".
Deadline for manuscript submissions: closed (31 July 2021) | Viewed by 13822
Special Issue Editor
Special Issue Information
Dear Colleagues,
We invite you to contribute to a Special Issue of the MDPI journal Mathematics, devoted to the characterization of probability distributions. Problems of characterization probability distributions consist of describing all the laws for which suitable statistics have one or another desirable property. Although characterization problems have attracted the attention of specialists for a long time, they remain relevant now, especially to construct models associated with distributions other than normal, as well as for testing different hypotheses. Mathematically, characterization problems lead to interesting functional equations and non-standard approaches to their solutions. The practical value of these problems lies in model construction based on some properties of observed statistics. The articles in this Special Issue are devoted to problems of this kind. Characterization of the exponential distribution, distribution of the hyperbolic secant, two-point distribution, and some related laws will be presented. Results concerning the use of characterization theorems for constructing statistical hypotheses will also be included in the Special Issue.
Prof. Dr. Lev Klebanov
Guest Editor
Manuscript Submission Information
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Keywords
- Probability laws
- Characterizations of distributions
- Model construction
- Exponential distribution
- Hyperbolic secant distribution
- Statistical testing