Results 271 to 280 of about 4,616,379 (323)

Poisson Approximation for Random Sums of Bernoulli Random Variables

Statistics and 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.
exaly   +2 more sources

Change-point detection in Phase I for autocorrelated Poisson profiles with random or unbalanced designs

International Journal of Production Research, 2020
The quality of some products or processes can be characterised by the functional relationship referred to as a profile. Profile monitoring aims to check the stability of this relationship over time. In some applications, the response variable of interest
Shu-Guang He, Lisha Song, Yanfen Shang, Zhi-Qiong Wang   +3 more
semanticscholar   +1 more source

The conditional maximum of Poisson random variables

Communications in Statistics - Theory and Methods, 2017
The conditional maxima of independent Poisson random variables are studied. A triangular array of row-wise independent Poisson random variables is considered.
Fazekas I., Chuprunov A.
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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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Stochastic comparisons of Poisson and binomial random variables with their mixtures

Statistics & Probability Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Misra, Neeraj, Singh, Harshinder, Harner, E. James   +2 more
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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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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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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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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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Poisson Approximation for a Sum of Negative Binomial Random Variables

Bulletin of the Malaysian Mathematical Sciences Society, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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