Results 11 to 20 of about 30,725 (253)
Fisher information, compound Poisson approximation and the Poisson channel [PDF]
2007 IEEE International Symposium on Information Theory, 2007 — Fisher information plays a fundamental role in the analysis of Gaussian noise channels and in the study of Gaussian approximations in probability and statistics.
Ioannis Kontoyiannis +2 more
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Compound Poisson and signed compound Poisson approximations to the Markov binomial law
Bernoulli, 2010 Compound Poisson distributions and signed compound Poisson measures are used for approximation of the Markov binomial distribution. The upper and lower bound estimates are obtained for the total variation, local and Wasserstein norms.
Vellaisamy, P., Čekanavičius, V.
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Mechanic, Half-Metallic and Thermoelectric Properties of the PdZrTiAl under pressure: A DFT study [PDF]
Archives of Metallurgy and Materials, 2020 The half-metallic, mechanical, and transport properties of the quaternary Heusler compound of PdZrTiAl is discussed under hydrostatic pressures in the range of –11.4 GPa to 18.4 GPa in the framework of the density functional theory (DFT) and Boltzmann ...
S. Parsamehr +6 more
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Compound poisson approximation in systems reliability [PDF]
Naval Research Logistics, 1996 The compound Poisson "local" formulation of the Stein-Chen method is applied to problems in reliability theory. Bounds for the accuracy of the approximation of the reliability by an appropriate compound Poisson distribution are derived under fairly general conditions, and are applied to consecutive-2 and connected-s systems, and the 2-dimensional ...
Barbour, A D +2 more
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Partial Diffusion Markov Model of Heterogeneous TCP Link: Optimization with Incomplete Information
Mathematics, 2021 The paper presents a new mathematical model of TCP (Transmission Control Protocol) link functioning in a heterogeneous (wired/wireless) channel. It represents a controllable, partially observable stochastic dynamic system.
Andrey Borisov +3 more
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Multiple-Trigger Catastrophe Bond Pricing Model and Its Simulation Using Numerical Methods
Mathematics, 2022 Investor interest in single-trigger catastrophe bonds (STCB) has the potential to decline in the future. It is triggered by the increasing trend of global catastrophe loss and intensity every year, which increases the probability that a claim of STCB ...
Riza Andrian Ibrahim +2 more
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Compound Poisson process approximation
The Annals of Probability, 2002 Compound Poisson processes are often useful as approximate models, when describing the occurrence of rare events. In this paper, we develop a method for showing how close such approximations are. Our approach is to use Stein's method directly, rather than by way of declumping and a marked Poisson process; this has conceptual advantages, but entails ...
Barbour, A. D., Månsson, Marianne
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On large deviations for compound mixed Poisson process
Lietuvos Matematikos Rinkinys, 2013 This paper is designated for normal approximation to the distribution function of the compound mixed Poisson process taking into consideration large deviations both in the Cramér and power Linnik zones.
Aurelija Kasparavičiūtė +1 more
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A Compound Poisson Approximation Inequality [PDF]
Journal of Applied Probability, 2006 We give conditions under which the number of events which occur in a sequence ofm-dependent events is stochastically smaller than a suitably defined compound Poisson random variable. The results are applied to counts of sequence pattern appearances and to system reliability. We also provide a numerical example.
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Fast and exact quantification of motif occurrences in biological sequences
BMC Bioinformatics, 2021 Background Identification of motifs and quantification of their occurrences are important for the study of genetic diseases, gene evolution, transcription sites, and other biological mechanisms. Exact formulae for estimating count distributions of motifs
Mattia Prosperi +2 more
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