Results 21 to 30 of about 64,333 (291)
The compound Poisson limit ruling periodic extreme behaviour of non-uniformly hyperbolic dynamics [PDF]
, 2012 We prove that the distributional limit of the normalised number of returns to small neighbourhoods of periodic points of non-uniformly hyperbolic dynamical systems is compound Poisson.
A. Ferguson +42 more
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Measure Concentration for Compound Poisson Distributions
Electronic Communications in Probability, 2006 We give a simple development of the concentration properties of compound Poisson measures on the nonnegative integers. A new modification of the Herbst argument is applied to an appropriate modified logarithmic-Sobolev inequality to derive new concentration bounds.
Kontoyiannis, Ioannis, Madiman, Mokshay
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Spatial event cluster detection using an approximate normal distribution
International Journal of Health Geographics, 2008 Background In geographic surveillance of disease, areas with large numbers of disease cases are to be identified so that investigations of the causes of high disease rates can be pursued.
Rosychuk Rhonda J, Torabi Mahmoud
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Zero-Inflated Patent Data Analysis Using Compound Poisson Models
Applied Sciences, 2023 A large part of big data consists of text documents such as papers, patents or articles. To analyze text data, we have to preprocess the text documents and build a structured data based on a document-word matrix using various text mining techniques. This
Sangsung Park, Sunghae Jun
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Compound Conway-Maxwell Poisson Gamma Distribution: Properties and Estimation
Austrian Journal of StatisticsThe distribution of a random sum of random events is called a compound distribution. It involves a counting (discrete) distribution to model the number of occurrences of the random event in a fixed time period and a continuous distribution to model the ...
Jahnavi Merupula, V S Vaidyanathan
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Poisson-type approximation for sums of 1-dependent indicators
Lietuvos Matematikos Rinkinys, 2009 The sum of 1-dependent indicators is approximated by compound Poisson type distribution. Estimates are obtained for the uniform Kolmogorov and local metrics.
Jūratė Petrauskienė +1 more
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On the Estimation for Compound Poisson Inarch Processes
Revstat Statistical Journal, 2021 Considering the wide class of discrete Compound Poisson INARCH models, introduced in [6], the main goal of this paper is to develop and compare parametric estimation procedures for first-order models, applicable without specifying the conditional ...
E. Gonçalves +2 more
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, 2010 Let $X_1,X_2,...,X_n$ be a sequence of independent or locally dependent random variables taking values in $\mathbb{Z}_+$. In this paper, we derive sharp bounds, via a new probabilistic method, for the total variation distance between the distribution of ...
Boutsikas, Michael V. +1 more
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Compound bi-free Poisson distributions [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2019 In this paper, we study compound bi-free Poisson distributions for two-faced families of random variables. We prove a Poisson limit theorem for compound bi-free Poisson distributions. Furthermore, a bi-free infinitely divisible distribution for a two-faced family of self-adjoint random variables can be realized as the limit of a sequence of compound ...
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Convolutions of generalized measures
Lietuvos Matematikos Rinkinys, 2009 The convolutions of probability distributions of independent random variables are analysed in this paper.
Kazimieras Padvelskis +1 more
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