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An Efficient Python Approach for Simulation of Poisson Distribution

2021 7th International Conference on Advanced Computing and Communication Systems (ICACCS), 2021
A basic understanding of probability, of its key mathematical features as well as the characteristics it presents within specific circumstances, is the aim of this paper.
D. K. Sharma   +4 more
semanticscholar   +1 more source

Poisson and Normal Distributions [PDF]

open access: possible, 1974
The Poisson distribution is of great importance in theory and in practice. It has the added virtue of being a simple mathematical object. We could have introduced it at an earlier stage in the book, and the reader was alerted to this in §4.4. However, the belated entrance will give it more prominence, as well as a more thorough discussion than would be
Kai Lai Chung, Farid AitSahlia
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Exponential-Poisson distribution: estimation and applications to rainfall and aircraft data with zero occurrence

Communications in statistics. Simulation and computation, 2018
In this study, different frequentist estimation procedures for the parameters of the exponential-Poisson distribution are considered, such as the maximum likelihood, method of moments, ordinary and weighted least-squares, percentile, maximum product of ...
F. Louzada, P. Ramos, P. Ferreira
semanticscholar   +1 more source

Poisson on the poisson distribution

Statistics & Probability Letters, 1982
Abstract 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.
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The Poisson Distribution

1989
In lesson 17, we saw the use of the binomial as an approximation to the hypergeometric for large populations. When n is large in the binomial, we have similar problems of computation:
Gerald S. Rogers, Hung T. Nguyen
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On a characterization of Poisson distribution

Journal of Applied Probability, 1970
Recently Rao (1963) has considered discrete models where an original observation produced by nature is subjected to a destructive process and we observe the undestroyed part of the original observation. Suppose the original observation produced by nature is distributed according to a Poisson distribution with parameter λ and the probability that the ...
A. B. L. Srivastava, R. C. Srivastava
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The Poisson distribution [PDF]

open access: possible, 1999
The Poisson distribution is a discontinuous distribution which was described by the French mathematician Simeon Denis Poisson (1781-2013;1840) in a book published in 1837. The Poisson distribution is a particular case of the binomial distribution (chapter 17) where the probability p becomes smaller and smaller (p → 0) while the exponent k becomes ...
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A Generalization of the Poisson Distribution

Technometrics, 1973
A new generalization of the Poisson distribution, with two parameters λ1 and λ2, is obtained as a limiting form of the generalized negative binomial distribution. The variance of the distribution is greater than, equal to or smaller than the mean according as λ2 is positive, zero or negative.
P.C. Consul, G. C. Jain
openaire   +2 more sources

Poisson distributions

Computing in Science & Engineering, 2001
Scientists and engineers often use Poisson's probability distribution to characterize the statistics of rare events whose average number is small. Using it correctly is crucial if we are to validate claims of discovery of new phenomena, such as a new fundamental particle (few candidate collision events among millions), a remote galaxy (few photons in ...
openaire   +2 more sources

The Poisson distribution and beyond: methods for microfluidic droplet production and single cell encapsulation.

Lab on a Chip, 2015
There is a recognized and growing need for rapid and efficient cell assays, where the size of microfluidic devices lend themselves to the manipulation of cellular populations down to the single cell level.
D. Collins   +4 more
semanticscholar   +1 more source

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