Results 281 to 290 of about 267,629 (319)

The Computer Generation of Poisson Random Variables

Applied Statistics, 1979
SUMMARY A comparison is made of methods of generating samples on a computer from the Poisson distribution. The well-known methods of counting the number of occurrences in a Poisson process and of sequentially searching through a table of cumulative probabilities have the disadvantage that the time required increases with thePoisson parameter ft.
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Accurate estimation for extra-Poisson variability assuming random effect models

Journal of Applied Statistics, 2020
In this study, the components of extra-Poisson variability are estimated assuming random effect models under a Bayesian approach. A standard existing methodology to estimate extra-Poisson variability assumes a negative binomial distribution. The obtained results show that using the proposed random effect model it is possible to get more accurate ...
Ricardo Puziol de Oliveira, Jorge Alberto Achcar   +1 more
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Poisson approximation for random sums of Bernoulli random variables

Statistics & Probability Letters, 1991
Bounds for the total variation distance between the distribution of the sum of a random number of Bernoulli summands and an appropriate Poisson distribution are given. Applications to limit theorems with rates of convergence for marked and thinned point processes and generalizations of the results obtained are also discussed.
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Poisson approximations for sequences of random variables

Statistics & Probability Letters, 1998
It is well known in the general theory of the central limit problem that sums of independent random variables can always be approximated by sums of Poisson type of variables without effecting asymptotic properties. However, Poisson type of random variables is no longer defined on the nonnegative integers.
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q -deformed Poisson random variables on q-Fock space

Journal of Mathematical Physics, 2000
The q-deformed Poisson distribution has been introduced as the orthogonalizing probability measure for a certain q-deformation of Charlier polynomials, which is reduced to the usual Poisson distribution in the limit q→1 and takes the free Poisson distribution in case of q=0.
Saitoh, Naoko, Yoshida, Hiroaki
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Binomial and Poisson Random Variables

2001
Before stating the fundamental principle of counting we give an example. Example 1. Assume that a restaurant offers five different specials and for each one of them you can pick either a salad or a soup. How many choices do you have? In this simple example we can just enumerate all the possibilities.
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Compound Poisson approximations for sums of 1-dependent random variables. I

Lithuanian Mathematical Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petrauskienė, J., Čekanavičius, V.
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On compound Poisson approximation for sums of random variables

Statistics & Probability Letters, 1999
The authors present an upper bound for the total variation distance between the distribution of the sum of random variables and the compound Poisson distribution with parameter \(\alpha\) and the compounding distribution \(F\). Applications to the Markovian occurrences of a rare event and to the sums of Markov-Bernoulli variables are also considered.
VELLAISAMY, P, CHAUDHURI, B
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Recent Developments in the Computer Generation of Poisson Random Variables

Applied Statistics, 1979
Two recent methods of generating samples on a computer from the Poisson distribution are compared with those in an earlier survey. Recommendations are made for algorithms which are either compact or fast, but unfortunately not both. Two cases are distinguished: that in which the Poisson parameter is fixed and that in which it changes from sample to ...
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Large Deviation Principle for Poisson Random Variables and Young Diagrams

Problems of Information Transmission, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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