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A Random-Effects Log-Linear Model with Poisson Distributions
Revstat Statistical Journal, 2003 In several applications data are grouped and there are within-group correlations. With continuous data, there are several available models that are often used; with counting data, the Poisson distribution is the natural choice. In this paper a mixed log-
Maria Alexandra Seco, António St. Aubyn
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Invariance principle for Mott variable range hopping and other walks on point processes [PDF]
, 2010 We consider a random walk on a homogeneous Poisson point process with energy marks. The jump rates decay exponentially in the A-power of the jump length and depend on the energy marks via a Boltzmann--like factor.
Caputo, P., Faggionato, A., Prescott, T.
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Umbral nature of the Poisson random variables [PDF]
, 2001 23 ...
DI NARDO, Elvira, D. SENATO PULLANO
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In-Scene Calibration of Poisson Noise Parameters for Phase Image Recovery
IEEE Open Journal of Signal ProcessingIn sensor metrology, noise parameters governing the stochastic nature of photon detectors play critical role in characterizing the aleatoric uncertainty of computational imaging systems such as indirect time-of-flight cameras, structured light imaging ...
Achour Idoughi +5 more
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A study on black-body radiation: classical and binary photons [PDF]
, 2006 The present study gives a detailed analysis of the black-body radiation based on classical random variables. It is shown that the energy of a mode of a chaotic radiation field (Gauss variable) can be uniquely decomposed into a sum of a discrete variable (
Varro, Sandor
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On the Entropy of Sums of Bernoulli Random Variables via the Chen-Stein Method
, 2012 This paper considers the entropy of the sum of (possibly dependent and non-identically distributed) Bernoulli random variables. Upper bounds on the error that follows from an approximation of this entropy by the entropy of a Poisson random variable with ...
Sason, Igal
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Simulation of non-stationary event flow with a nested stationary component
Discrete and Continuous Models and Applied Computational Science, 2020 A method for constructing an ensemble of time series trajectories with a nonstationary flow of events and a non-stationary empirical distribution of the values of the observed random variable is described.
Ruslan V. Pleshakov
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Poisson-like spiking in circuits with probabilistic synapses. [PDF]
PLoS Computational Biology, 2014 Neuronal activity in cortex is variable both spontaneously and during stimulation, and it has the remarkable property that it is Poisson-like over broad ranges of firing rates covering from virtually zero to hundreds of spikes per second.
Rubén Moreno-Bote
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POISSON APPROXIMATION FOR INDEPENDENT BINOMIAL RANDOM VARIABLES [PDF]
International Journal of Pure and Apllied Mathematics, 2014 This paper gives a bound for the total variation distance between the distribution of a sum of independent binomial random variables and an appropriate Poisson distribution with mean P n=1 mipi, where mi and pi = 1 − qi are parameters of each binomial distribution. With this bound, it is indicated that the distribution of the sum can be approximated by
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On the rate of convergence of Lp norms in the CLT for Poisson random sum
Lietuvos Matematikos Rinkinys, 2009 In the paper, we present the upper bound of Lp norm \deltaλ,p of the order λ-δ/2 for all 1 \leq p \leq ∞, in the central limit theorem for a standardized random sum (SNλ - ESNλ)/DSNλ , where SNλ = X1 + ··· + XNλ is the random sum of independent ...
Jonas Kazys Sunklodas
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