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WHAT DOES POISSON DISTRIBUTION MEAN IN ENGLISH?
In probability theory and statistics, the Poisson distribution, named after French mathematician Siméon Denis Poisson, is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time and/or space if these events occur with a known average rate and independently of the time since the last event. The Poisson distribution can also be used for the number of events in other specified intervals such as distance, area or volume. For instance, suppose someone typically gets 4 pieces of mail per day on average. There will be, however, a certain spread: sometimes a little more, sometimes a little fewer, once in a while nothing at all. Given only the average rate, for a certain period of observation, and assuming that the process, or mix of processes, that produces the event flow is essentially random, the Poisson distribution specifies how likely it is that the count will be 3, or 5, or 10, or any other number, during one period of observation. That is, it predicts the degree of spread around a known average rate of occurrence.
Definition of Poisson distribution in the English dictionary
The definition of Poisson distribution in the dictionary is a distribution that represents the number of events occurring randomly in a fixed time at an average rate λ; symbol P0. For large n and small p with np = λ it approximates to the binomial distribution Bi.
The translations of Poisson distribution from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «Poisson distribution» in English.
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Poisson distribution».
FREQUENCY OF USE OF THE TERM «POISSON DISTRIBUTION» OVER TIME
The graph expresses the annual evolution of the frequency of use of the word «Poisson distribution» during the past 500 years. Its implementation is based on analysing how often the term «Poisson distribution» appears in digitalised printed sources in English between the year 1500 and the present day.
Examples of use in the English literature, quotes and news about Poisson distribution
10 ENGLISH BOOKS RELATING TO «POISSON DISTRIBUTION»
Discover the use of Poisson distribution in the following bibliographical selection. Books relating to Poisson distribution and brief extracts from same to provide context of its use in English literature.
Business Statistics: For Contemporary Decision Making
166 Chapter 5 Discrete Distributions TABLE 5.11 Minitab Output for the PoissonDistribution l=1.9 PROBABILITY DENSITY FUNCTION Poisson with mean = 1.9 x
P(X = x) 0 0.149569 1 0.284180 2 0.269971 3 0.170982 4 0.081216 5 0.030862
Ken Black, 2011
Probability For Dummies
The expected value and variance of the Poisson distribution show how many
arrivals or occurrences you can expect in a fixed time or space, as well as the
amount of variability in these results from one experiment to the next. What's
Deborah J. Rumsey, 2006
Physics With Illustrative Examples From Medicine and ...
Let us begin by obtaining the form of the Poisson distribution in a number of
different ways. ... The Poisson distribution initially emerged as a limiting case of
the Bernoulli distribution applicable when the probability of a success (p) is a
George B. Benedek, Felix M.H. Villars, 2000
The Uncertainty in Physical Measurements: An Introduction to ...
6.4. Poisson. Distribution. An important distribution of a discrete random variable
is the Poisson distribution (after the name of the French mathematician S.
Poisson, 1781–1840): Pa(k) = akk!e−a. (6.45) The Poisson distribution ...
Paolo Fornasini, 2008
Transportation Engineering Basics
One such probability distribution is Poisson distribution. GENERAL OVERVIEW
Poisson distribution can represent several traffic flow situations where the flow is
light and exhibits random behavior. Such practical situations include calculating ...
A. S. Narasimha Murthy, Henry R. Mohle, 2001
Techniques for Nuclear and Particle Physics Experiments: A ...
If p is small ( <0.05), such that the product Np is finite, then the binomial
distribution is approximated by the Poisson distribution discussed in the next
section. 4.2.2 The Poisson Distribution The Poisson distribution occurs as the
limiting form of ...
William R. Leo, 1994
Foundations of Statistical Natural Language Processing
Three are based on the Poisson distribution, one motivates inverse document
frequency as a weight optimal for Bayesian classification and the final one,
residual inverse document frequency, can be interpreted as a combination of idf
and the ...
Hinrich Schütze, 1999
Econometric Analysis of Count Data
Linear Transformations The Poisson distribution is not closed under linear
transformations, since a linear transformations on the sample space do not
generate again a Poisson distribution with a different value of the parameter λ.
Let Y = a + ...
Rainer Winkelmann, 2008
Practical Statistics for Medical Research
4.8 THE POISSON DISTRIBUTION A different type of discrete data arises when
we count the number of occurrences of an event, perhaps for different subjects or
for units of time. Examples of data like this are the daily number of new cases of ...
Douglas G. Altman, 1990
A Handbook of Numerical and Statistical Techniques: With ...
10.6 The Poisson distribution The Poisson distribution is a non-negative integer-
valued distribution which plays a prominent role in statistical theory. Traditional
examples of the use of the Poisson distribution include the number of alpha ...
J. H. Pollard, 1979
10 NEWS ITEMS WHICH INCLUDE THE TERM «POISSON DISTRIBUTION»
Find out what the national and international press are talking about and how the term Poisson distribution is used in the context of the following news items.
Primer ID Validates Template Sampling Depth and Greatly Reduces …
We use this error rate and the Poisson distribution to define the cutoff to identify preexisting drug resistance mutations at low abundance in an ... «Journal of Virology, Jul 15»
How To Heal A Broken Heart? A 5-Step Program
In nerdy terms, taxi arrivals follow a Poisson distribution. One arrival (or departure) is no predictor whatsoever of when (or how) the next one will ... «Huffington Post, Jul 15»
How to Find the Best Time to Post on Facebook
... the average number of online friends on different days of the week by modeling each 2-hour interval as an independent Poisson distribution. «Business 2 Community, Jul 15»
The Samsung Exynos 7420 Deep Dive - Inside A Modern 14nm SoC
Luckily, one should not have to worry too much about the bin in one's device as shipped units follow a Poisson distribution pattern where the ... «AnandTech, Jun 15»
COgnitive behavioural therapy vs standardised medical care for …
Generalised linear mixed modelling (GLMM) assuming a Poisson distribution, a log-link and allowing for possible overdispersion will provide ... «BMC Blogs Network, Jun 15»