Poisson distribution

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Related to Poisson distribution: binomial distribution, Poisson process

Pois·son distribution

(pwä-sôN′)

n. Statistics

A probability distribution which arises when counting the number of occurrences of a rare event in a long series of trials.

[After Siméon Denis Poisson (1781-1840), French mathematician.]

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Poisson distribution

(ˈpwɑːsən)

(Statistics) statistics a distribution that represents the number of events occurring randomly in a fixed time at an average rate λ; symbol P0(λ). For large n and small p with np = λ it approximates to the binomial distribution Bi(n,p)

[C19: named after S. D. Poisson]

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

Pois•son′ distribu`tion

(pwɑˈsoʊn, -ˈsɔ̃)
n.

a probability distribution whose mean and variance are identical.

[1920–25; after S. Dutch. Poisson (1781–1840), French mathematician and physicist]

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Noun

Poisson distribution - a theoretical distribution that is a good approximation to the binomial distribution when the probability is small and the number of trials is large

distribution, statistical distribution - (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence

statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters

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We then modeled the number of mislaid eggs in: (1) one-egg clutches, (2) two-egg clutches, and (3) both one- and two-egg clutches as a function of total available nests using generalized linear mixed models (GLMM) that assumed a Poisson distribution. We included an offset term in each model for the number of breeding females, which allowed us to assess the number of mislaid eggs relative to the number of females at each site.

Overlooked Costs of Coloniality: Mislaid Eggs and the Double Incubation of Separate Nests

Note that count data can be modelled for certain distributions using continuous distributions; for example, count data that follows a Poisson distribution and has a high mean can be modelled using a normal distribution.

Leaf count overdispersion in coffee seedlings/Superdispersao relacionado a contagem de folhas em mudas de cafeeiro

* Conditional on the past [[U.bar].sub.t], variable [Z.sub.t] follows Poisson distribution with parameter [[beta]U.sub.t].

DYNAMIC FRAILTY COUNT PROCESS IN INSURANCE: A UNIFIED FRAMEWORK FOR ESTIMATION, PRICING, AND FORECASTING

In this paper, we highlight the use of neutrosophic crisp sets theory [3,4] with the classical probability distributions, particularly Poisson distribution, Exponential distribution and Uniform distribution, which opens the way for dealing with issues that follow the classical distributions and at the same time contain data not specified accurately.

Some Neutrosophic Probability Distributions

In real networks, the degree distribution P(k) [13], defined as the probability that a node chosen uniformly at random has degree k or, equivalently, as the fraction of nodes in the graph having degree k, significantly deviates from the poisson distribution expected for a random graph [14] and, in many cases, exhibits a power law (scale-free) tail with an exponent [7].

MFSC: Mean-Field-Theory and Spreading-Coefficient Based Degree Distribution Analysis in Social Network

The count data of each taxon was checked for fit to a known probability distribution according to the steps in Krebs (1999) and Crawley (2007): Poisson distribution for random pattern (ID = 1), negative binomial distribution for aggregated pattern (ID > 1), and binomial distribution for uniform pattern (ID < 1).

Spatial distribution of macrofauna within a sandy beach on the Caribbean coast of Costa Rica/Distribucion espacial de la macrofauna dentro de una playa arenosa de la costa Caribe de Costa Rica

In these cases, the latent variables follow, respectively, a geometric and a zero-truncated Poisson distribution and each of components in risk came from a Weibull baseline distribution.

Reliability-Centered Maintenance: Analyzing Failure in Harvest Sugarcane Machine Using Some Generalizations of the Weibull Distribution

Examples are as follows: for p = 0 then we have a normal distribution, p = 1, and [THETA] = 1; it is a Poisson distribution, and Gamma distribution for p = 2, while when p = 3 it is Gaussian inverse distribution.

A Poisson-Gamma Model for Zero Inflated Rainfall Data

Recently, Porwal [7] introduced a Poisson distribution series whose coefficients are probabilities of Poisson distribution and established a correlation between Statistics and Geometric Function Theory which opened up a new direction of research.

Generalized Distribution and Its Geometric Properties Associated with Univalent Functions

Regarding the fitting of the binomial distribution, if as n increases, p decreases such that n * p remains constant, then the binomial distribution approaches the Poisson distribution; see Mood, Graybill, and Boes (1974).

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Poisson distribution was employed to analyze lowest-detectable copy range.

Analytic and Clinical Validation of an Ultrasensitive, Quantitative Polymerase Chain Reaction Assay for EGFR Mutation Analysis With Circulating Tumor DNA

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