Entropies of the Poisson Distribution as Functions of Intensity: “Normal” and “Anomalous” Behavior
Sign Up to like & getrecommendations! Published in 2024 at "Methodology and Computing in Applied Probability"
DOI: 10.1007/s11009-025-10171-9
Abstract: The paper extends the analysis of the entropies of the Poisson distribution with parameter λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document}. It demonstrates that the Tsallis and Sharma–Mittal entropies exhibit monotonic… read more here.
Keywords: poisson distribution; document; entropies poisson; behavior ... See more keywords
Subclass of analytic functions associated with Poisson distribution series
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DOI: 10.1007/s13370-020-00788-z
Abstract: In this paper, we find the necessary and sufficient conditions, inclusion relations for Poisson distribution series $${\mathcal {K}}(m,z)=z+\sum \nolimits _{n=2}^{\infty }\frac{m^{n-1}}{(n-1)!}e^{-m}z^{n}$$ belonging to a subclass $$\mathcal {TS}(\lambda ,\alpha ,\beta )$$ of analytic functions with negative… read more here.
Keywords: distribution series; subclass; poisson distribution; analytic functions ... See more keywords
A weighted Poisson distribution and its application to cure rate models
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2017.1373817
Abstract: ABSTRACT The family of weighted Poisson distributions offers great flexibility in modeling discrete data due to its potential to capture over/under-dispersion by an appropriate selection of the weight function. In this paper, we introduce a… read more here.
Keywords: cure rate; poisson distribution; weighted poisson; distribution ... See more keywords
Robust safety monitoring and signal detection using alternatives to the standard poisson distribution.
Sign Up to like & getrecommendations! Published in 2024 at "Journal of biopharmaceutical statistics"
DOI: 10.1080/10543406.2024.2395532
Abstract: Proper and timely characterization of the safety profile of a pharmaceutical product under development is imperative for assessing the overall benefit-risk relationship of the product and for making key development decisions. For ongoing clinical development,… read more here.
Keywords: poisson distribution; signal detection; safety monitoring; robust safety ... See more keywords
Maximum likelihood and Bayesian estimators for the double Poisson distribution
Sign Up to like & getrecommendations! Published in 2018 at "Journal of statistical theory and practice"
DOI: 10.1080/15598608.2018.1489919
Abstract: Poisson and negative binomial distributions are frequently used to fit count data. A limitation of the Poisson distribution is that the mean and the variance are assumed to be equal, but this assumption is far… read more here.
Keywords: poisson distribution; maximum likelihood; double poisson; likelihood bayesian ... See more keywords
AN EXACT GOODNESS-OF-FIT TEST BASED ON THE OCCUPANCY PROBLEMS TO STUDY ZERO-INFLATION AND ZERO-DEFLATION IN BIOLOGICAL DOSIMETRY DATA
Sign Up to like & getrecommendations! Published in 2018 at "Radiation Protection Dosimetry"
DOI: 10.1093/rpd/ncx285
Abstract: The goal in biological dosimetry is to estimate the dose of radiation that a suspected irradiated individual has received. For that, the analysis of aberrations (most commonly dicentric chromosome aberrations) in scored cells is performed… read more here.
Keywords: poisson distribution; dosimetry data; biological dosimetry; test ... See more keywords
Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators
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DOI: 10.1155/2024/3697215
Abstract: In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q-symmetric starlike and q-symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the… read more here.
Keywords: poisson distribution; multivalent symmetric; distribution; valent functions ... See more keywords
Statistical Description for the Decay of an Ensemble of Emitter Nuclei in the Context of a Sub-Poisson Distribution
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Russian Academy of Sciences: Physics"
DOI: 10.3103/s1062873818100155
Abstract: A new formalism that combines the simplicity of the mathematical apparatus of the Poisson distribution and a correct description of the decay of the last nucleus of a system in a binomial distribution is proposed,… read more here.
Keywords: description decay; poisson distribution; sub poisson; distribution ... See more keywords
Some Results on the Free Poisson Distribution
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DOI: 10.3390/axioms13080496
Abstract: Let K+(μi)={Qsiμi,si∈(m0μi,m+μi)}, i=1,2, be two CSK families generated by the nondegenerate probability measures μ1 and μ2 with support bounded from above. Define the set of measures L=K+(μ1)•K+(μ2)={Qs1μ1•Qs2μ2,s1∈(m0μ1,m+μ1)ands2∈(m0μ2,m+μ2)}, where Qs1μ1•Qs2μ2 denotes the Fermi convolution of Qs1μ1… read more here.
Keywords: poisson distribution; probability; poisson; results free ... See more keywords
Transactional Interpretation and the Generalized Poisson Distribution
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DOI: 10.3390/e24101416
Abstract: The aim of this paper is to study the quantum-like approach to the description of the market in the context of the principle of minimum Fisher information. We wish to investigate the validity of using… read more here.
Keywords: poisson distribution; squeezed coherent; risk; transactional interpretation ... See more keywords
The Modes of the Poisson Distribution of Order 3 and 4
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DOI: 10.3390/e25040699
Abstract: In this article, new properties of the Poisson distribution of order k with parameter λ are found. Based on them, the modes of the Poisson distributions of order k=3 and 4 are derived for λ… read more here.
Keywords: modes poisson; order; poisson distribution; distribution order ... See more keywords