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Poisson on the poisson distribution
Statistics and Probability Letters, 1982Abstract A translation of the totality of Poisson's own 1837 discussion of the Poisson distribution is presented, and its relation to earlier work of De Moivre is briefly noted.
Yousri Slaoui
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On the Convergence of Poisson Binomial to Poisson Distributions
Annals of Probability, 1974 It is well known that under certain conditions, binomial distributions converge to Poisson distributions. Simons and Johnson (1971) showed that the convergence is actually much stronger than in the usual sense. In this note the author shows that the result of Simons and Johnson is also true for Poisson binomial distributions which include binomial ...
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Poisson Noether's Problem and Poisson rationality
Journal of Algebra, 2022Let \(G\subset \mathrm{GL}(h)\) be a complex reflection group. Then \(G\) acts by Poisson-algebra automorphisms on the coordinate ring \(\mathbb{C}[h^*\oplus h]\) endowed with the natural Poisson bracket (here \(h^*\) stands for the dual space of the finite dimensional complex vector space \(h\)).
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On Poisson-stopped-sums that are mixed Poisson
Statistics & Probability Letters, 2013Maceda (1948) characterized the mixed Poisson distributions that are Poisson-stopped-sum distributions based on the mixing distribution. In an alternative characterization of the same set of distributions here the Poisson-stopped-sum distributions that are mixed Poisson distributions is proved to be the set of Poisson-stopped-sums of either a mixture ...
Valero Baya, Jordi +2 more
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Natural Language Engineering, 1995
AbstractShannon (1948) showed that a wide range of practical problems can be reduced to the problem of estimating probability distributions of words and ngrams in text. It has become standard practice in text compression, speech recognition, information retrieval and many other applications of Shannon's theory to introduce a “bag-of-words” assumption ...
Kenneth Ward Church, William A. Gale
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AbstractShannon (1948) showed that a wide range of practical problems can be reduced to the problem of estimating probability distributions of words and ngrams in text. It has become standard practice in text compression, speech recognition, information retrieval and many other applications of Shannon's theory to introduce a “bag-of-words” assumption ...
Kenneth Ward Church, William A. Gale
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International Journal of Mathematics, 1995
Some important properties of Poisson groupoids are discussed. In particular, we obtain a useful formula for the Poisson tensor of an arbitrary Poisson groupoid, which generalizes the well-known multiplicativity condition for Poisson groups. Morphisms between Poisson groupoids and between Lie bialgebroids are also discussed.
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Some important properties of Poisson groupoids are discussed. In particular, we obtain a useful formula for the Poisson tensor of an arbitrary Poisson groupoid, which generalizes the well-known multiplicativity condition for Poisson groups. Morphisms between Poisson groupoids and between Lie bialgebroids are also discussed.
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IEEE Transactions on Visualization and Computer Graphics, 2013
Harmonic functions are the critical points of a Dirichlet energy functional, the linear projections of conformal maps. They play an important role in computer graphics, particularly for gradient-domain image processing and shape-preserving geometric computation.
Xian-Ying Li, Shi-Min Hu 0001
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Harmonic functions are the critical points of a Dirichlet energy functional, the linear projections of conformal maps. They play an important role in computer graphics, particularly for gradient-domain image processing and shape-preserving geometric computation.
Xian-Ying Li, Shi-Min Hu 0001
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ACM SIGGRAPH ASIA 2009 Sketches, 2009
Most of the real world scenes have a very high dynamic range. However the common capture and display devices can handle only a limited dynamic range. General approach to solve this problem is to use multi-exposure images and composite them in the irradiance domain to get a High Dynamic Range (HDR) image [Reinhard et al. 2005].
Shanmuganathan Raman, Subhasis Chaudhuri
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Most of the real world scenes have a very high dynamic range. However the common capture and display devices can handle only a limited dynamic range. General approach to solve this problem is to use multi-exposure images and composite them in the irradiance domain to get a High Dynamic Range (HDR) image [Reinhard et al. 2005].
Shanmuganathan Raman, Subhasis Chaudhuri
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The Poisson Process, Compound Poisson Process, and Poisson Random Field
2021Poisson processes broadly refer to stochastic processes that are the result of counting occurrences of some random phenomena (points) in time or space such that occurrences of points in disjoint regions are statistically independent, and counts of two or more occurrences in an infinitesimally small region are negligible.
Rabi Bhattacharya, Edward C. Waymire
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