Results 61 to 70 of about 149,559 (301)
Dual Lukacs regressions for non-commutative variables
Dual Lukacs type characterizations of random variables in free probability are studied here. First, we develop a freeness property satisfied by Lukacs type transformations of free-Poisson and free-Binomial non-commutative variables which are free. Second,
Szpojankowski, Kamil, Wesolowski, Jacek
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Current methods to quantify T-cell clonal expansion only account for variance due to random sampling from a highly diverse repertoire space. We propose a beta-binomial model to incorporate time-dependent variance into the assessment of differentially ...
Julie Rytlewski +6 more
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Mean and Variance Modeling of Under-Dispersed and Over-Dispersed Grouped Binary Data
This article describes the R package BinaryEPPM and its use in determining maximum likelihood estimates of the parameters of extended Poisson process models for grouped binary data.
David M. Smith, Malcolm J. Faddy
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A New Extension of the Binomial Error Model for Responses to Items of Varying Difficulty in Educational Testing and Attitude Surveys. [PDF]
We put forward a new item response model which is an extension of the binomial error model first introduced by Keats and Lord. Like the binomial error model, the basic latent variable can be interpreted as a probability of responding in a certain way to ...
James A Wiley +3 more
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Coordinates Distributions in Finite Uniformly Random Networks
This work introduces the concept of angular distance distributions of the nodes in a Binomial point process-based model for wireless networks. The need for the derivation of these distributions is motivated by the use of high-frequency bands in the ...
Athanasios G. Kanatas
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Certain fluctuations in particle number, \(n\), at fixed total energy, \(E\), lead exactly to a cut-power law distribution in the one-particle energy, \(\omega\), via the induced fluctuations in the phase-space volume ratio, \(\Omega_n(E-\omega)/\Omega_n(
Tamás Sándor Biró +3 more
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Phase transition and information cascade in a voting model
We introduce a voting model that is similar to a Keynesian beauty contest and analyze it from a mathematical point of view. There are two types of voters-copycat and independent-and two candidates. Our voting model is a binomial distribution (independent
Hisakado, Masato, Mori, Shintaro
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Bayesian analysisof a probability distribution for local intensity attenuation
Intensity attenuation and its variation as a function of the distance and earthquake size is still a critical issue in evaluating seismic hazard. We present a method that allows us to incorporate additional information from the historical earthquake felt
G. Zonno, R. Rotondi
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In this paper, we study a new type of distribution that generalizes distributions from the gamma and beta classes that are widely used in applications.
Alexey Kudryavtsev, Oleg Shestakov
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Tusnady's inequality revisited
Tusnady's inequality is the key ingredient in the KMT/Hungarian coupling of the empirical distribution function with a Brownian bridge. We present an elementary proof of a result that sharpens the Tusnady inequality, modulo constants. Our method uses the
Carter, Andrew, Pollard, David
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