Results 151 to 160 of about 12,275 (175)

Defining and assessing international classification of disease suicidality phenotypes for genetic studies. [PDF]

open access: yesPsychiatry Res
Monson ET   +26 more
europepmc   +1 more source

A use of the Stein-Chen method in time series analysis

open access: closedJournal of Applied Probability, 2000
In this paper, a statistic that has been introduced to test for space-time correlation is considered in a time series context. The null hypothesis is white noise; the alternative is any kind of continuous functional dependence. For an autoregressive process close to the null hypothesis, a bound on the distance between the distribution of the statistic ...
Sun-Tsung Kim
exaly   +7 more sources

Some applications of the Stein-Chen method for proving Poisson convergence

open access: closedAdvances in Applied Probability, 1989
LetWbe a sum of Bernoulli random variables andUλa Poisson random variable having the same meanλ = EW.Using the Stein-Chen method and suitable couplings, general upper bounds for the variational distance betweenWandUλare given. These bounds are applied to problems of occupancy, using sampling with and without replacement and Pólya sampling, of capture ...
Barbour, A D, Holst, L
exaly   +7 more sources

Estimates of Pseudomoments Via the Stein–Chen Method

open access: closedActa Applicandae Mathematica, 2003
The compound Poisson approximations of sums of integer-valued random variables are considered. The pseudomoments are reduced to estimates in the total variation, if the initial Stein equation is repeatedly applied for the compound Poisson approximation.
V. Čekanavičius
openaire   +3 more sources

Poisson approximation for (k1,k2)-events via the Stein-Chen method

open access: closedJournal of Applied Probability, 2004
Consider a sequence of independent Bernoulli trials with success probabilityp. LetN(n;k1,k2) denote the number of times thatk1failures are followed byk2successes among the firstnBernoulli trials. We employ the Stein-Chen method to obtain a total variation upper bound for the rate of convergence ofN(n;k1,k2) to a suitable Poisson random variable.
P. Vellaisamy
  +5 more sources

Application of the stein-chen method for bounds and limit theorems in the reliability of coherent structures

Naval Research Logistics, 1993
For a coherent system with independent components, using Stein-Chen method of Poisson convergence, bounds have been obtained for the probability of failure of the system, in terms of component failure time distributions. Further, for any sequence of coherent systems \(I_ n\) with \(T_ n\) denoting the time of failure of \(I_ n\), the limiting ...
Koutras, Markos V.   +1 more
openaire   +4 more sources

An Improved Bound on Poisson Approximation for the Poisson Mean λ=1 with Stein-Chen Method

open access: closedInternational Journal of Mathematics Trends and Technology, 2022
K. Teerapabolarn
openaire   +2 more sources

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