Results 51 to 60 of about 30,813 (269)
Compound Poisson Approximations for Sums of Random Variables [PDF]
The Annals of Probability, 1985 We show that a sum of dependent random elements taking values in a semigroup is approximately compound Poisson when the elements are rarely nonzero and, given they are nonzero, their conditional distributions are nearly identical. We give several upper bounds on the total-variation distance between the distribution of such a sum and a compound Poisson ...
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Arthritis Care &Research, Accepted Article.Objective The objective of this study was to describe the longitudinal disease course and pulmonary outcomes of North American patients with melanoma differentiation‐associated gene 5 antibody (MDA5 ab) associated dermatomyositis (DM). Methods Thirty patients with MDA5 ab DM were identified in a single center longitudinal cohort of 352 patients with ...
Jenice X Cheah +8 more
wiley +1 more source
Strong memoryless times and rare events in Markov renewal point processes
, 2004 Let W be the number of points in (0,t] of a stationary finite-state Markov renewal point process. We derive a bound for the total variation distance between the distribution of W and a compound Poisson distribution.
Erhardsson, Torkel
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Kerstan's method for compound Poisson approximation
The Annals of Probability, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Compound Poisson approximation in total variation
Stochastic Processes and their Applications, 1999 The distribution of a finite sum of nonnegative integer valued random variables can be reasonably approximated by a compound Poisson distribution; i.e. the distribution of a sum \(\sum \limits _{j=1}^N Y_j\), where \(Y_j\) are i.i.d. and \(N\) is a random variable with Poisson distribution and independent from \(Y_j\). The paper deals with estimates of
Barbour, A D, Utev, S
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Advanced Engineering Materials, EarlyView.Excellent combinations of strength and impact toughness are obtained in a bilayer composite of high‐strength carbide‐free bainitic (CFB) steel and high‐ductility twinning‐induced plasticity (TWIP) steel. The composite absorbs energy at small strains when the notch is placed on the TWIP side and at high strains when the notch is placed on the CFB side ...
Kendra Hawke +5 more
wiley +1 more source
A Gaussian Exponential Approximation to Some Compound Poisson Distributions [PDF]
, 2017 A three parameter Gaussian exponential approximation to some compound Poisson distributions is considered. It is constructed by specifying the reciprocal of the mean excess function as a linear affine function below some threshold and a positive constant
Hürlimann, Werner
core
Approximating the distributions of runs and patterns [PDF]
, 2014 The distribution theory of runs and patterns has been successfully used in a variety of applications including, for example, nonparametric hypothesis testing, reliability theory, quality control, DNA sequence analysis, general applied probability and ...
Brad C Johnson, James C Fu
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Advanced Engineering Materials, EarlyView.Curvature‐tuned auxetic lattices are designed, fabricated, and mechanically characterized to reveal how geometric curvature governs stretchability, stress redistribution, and Poisson's ratio evolution. Photoelastic experiments visualize stress pathways, while hyperelastic simulations quantify deformation mechanics.
Shuvodeep De +3 more
wiley +1 more source
Compound Poisson approximations for symmetric vectors
Journal of Multivariate Analysis, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kruopis, Julius, Čekanavičius, Vydas
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