The Entropy of a Poisson Distribution (C. Robert Appledorn)

Abstract

Previous article Next article The Entropy of a Poisson Distribution (C. Robert Appledorn)Ronald J. Evans and J. BoersmaRonald J. Evans and J. Boersmahttps://doi.org/10.1137/1030059PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] M. Abramowitz and , I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1965 Arthur Erdélyi, , Wilhelm Magnus, , Fritz Oberhettinger and , Francesco G. Tricomi, Higher transcendental functions. Vol. I, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953xxvi+302 15,419i 0051.30303 Arthur Erdélyi, , Wilhelm Magnus, , Fritz Oberhettinger and , Francesco G. Tricomi, Higher transcendental functions. Vol. II, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953xvii+396 15,419i 0052.29502 Google Scholar[2] Bruce C. Berndt, Ramanujan's notebooks. Part I, Springer-Verlag, New York, 1985x+357 86c:01062 CrossrefGoogle Scholar[3] Bruce C. Berndt, , Ronald J. Evans and , B. M. Wilson, Chapter 3 of Ramanujan's second notebook, Adv. in Math., 49 (1983), 123–169 85c:11020 0524.41017 CrossrefISIGoogle Scholar[4] R. J. Evans, Ramanujan's Second Notebook: Asymptotic expansions for hypergeometric series and related functions, Proc. Ramanujan Centenary Conference, Academic Press, New York, 1988 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Variations on a Theme by MasseyIEEE Transactions on Information Theory, Vol. 68, No. 5 Cross Ref A Novel Framework for Capacity Analysis of Diffusion-Based Molecular Communication Incorporating Chemical ReactionsIEEE Transactions on Molecular, Biological and Multi-Scale Communications, Vol. 6, No. 3 Cross Ref On Relations Between the Relative Entropy and χ2-Divergence, Generalizations and Applications18 May 2020 | Entropy, Vol. 22, No. 5 Cross Ref Expressions for the Entropy of Basic Discrete DistributionsIEEE Transactions on Information Theory, Vol. 65, No. 7 Cross Ref Receptor pharmacophore ensemble (REPHARMBLE): a probabilistic pharmacophore modeling approach using multiple protein-ligand complexes15 September 2018 | Journal of Molecular Modeling, Vol. 24, No. 10 Cross Ref Expressions for the Entropy of Binomial-Type Distributions Cross Ref A Strategic User Equilibrium for Independently Distributed Origin-Destination Demands6 September 2017 | Computer-Aided Civil and Infrastructure Engineering, Vol. 33, No. 4 Cross Ref Practical quantum appointment scheduling12 April 2018 | Physical Review A, Vol. 97, No. 4 Cross Ref Families of quantum fingerprinting protocols28 March 2018 | Physical Review A, Vol. 97, No. 3 Cross Ref Entropy factor for randomness quantification in neuronal dataNeural Networks, Vol. 95 Cross Ref Fluctuation of Information Entropy Measures in Cell Image23 October 2017 | Entropy, Vol. 19, No. 10 Cross Ref Time evolution of entropy in a growth model: Dependence on the description19 January 2017 | Journal of the Korean Physical Society, Vol. 70, No. 1 Cross Ref Conditional Akaike Information Criteria for a Class of Poisson Mixture Models with Random Effects4 August 2016 | Scandinavian Journal of Statistics, Vol. 43, No. 4 Cross Ref Classical noise, quantum noise and secure communication19 November 2015 | European Journal of Physics, Vol. 37, No. 1 Cross Ref EFFICIENT QUANTUM RANDOM NUMBER GENERATION USING QUANTUM INDISTINGUISHABILITYFluctuation and Noise Letters, Vol. 12, No. 04 Cross Ref Bibliography30 October 2013 Cross Ref Square Root approximation to the Poisson Channel Cross Ref Bandwidth allocation in virtual network based on traffic prediction Cross Ref DEEPKOVER – AN ADAPTIVE ARTFUL INTELLIGENT ASSISTANCE SYSTEM FOR COGNITIVELY IMPAIRED PEOPLEApplied Artificial Intelligence, Vol. 24, No. 5 Cross Ref Sharp Bounds on the Entropy of the Poisson Law and Related QuantitiesIEEE Transactions on Information Theory, Vol. 56, No. 5 Cross Ref Basic properties and information theory of Audic-Claverie statistic for analyzing cDNA arrays23 September 2009 | BMC Bioinformatics, Vol. 10, No. 1 Cross Ref On an asymptotic series of Ramanujan12 August 2009 | The Ramanujan Journal, Vol. 20, No. 2 Cross Ref Intelligent Recognition of Activities of Daily Living for Assisting Memory and/or Cognitively Impaired Elders in Smart HomesInternational Journal of Ambient Computing and Intelligence, Vol. 1, No. 4 Cross Ref Waiting times and noise in single particle transportAnnalen der Physik, Vol. 17, No. 7 Cross Ref Waiting times and noise in single particle transport13 June 2008 | Annalen der Physik, Vol. 520, No. 7 Cross Ref Deepkøver An Adaptive Intelligent Assistance System for Monitoring Impaired People in Smart Homes Cross Ref DeepKøver Cross Ref Volume 30, Issue 2| 1988SIAM Review History Published online:18 July 2006 InformationCopyright © 1988 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1030059Article page range:pp. 314-317ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics