Results 21 to 30 of about 267,916 (279)
A Berry-Esseen theorem for Pitman's $\alpha$-diversity
This paper is concerned with the study of the random variable $K_n$ denoting the number of distinct elements in a random sample $(X_1, \dots, X_n)$ of exchangeable random variables driven by the two parameter Poisson-Dirichlet distribution, $PD(\alpha ...
Dolera, Emanuele, Favaro, Stefano
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Compound Poisson Approximations for Sums of Random Variables [PDF]
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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On lower limits and equivalences for distribution tails of randomly stopped sums [PDF]
For a distribution $F^{*\tau}$ of a random sum $S_{\tau}=\xi_1+...+\xi_{\tau}$ of i.i.d. random variables with a common distribution $F$ on the half-line $[0,\infty)$, we study the limits of the ratios of tails $\bar{F^{*\tau}}(x)/\bar{F}(x)$ as $x\to ...
Denisov, Denis +2 more
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SOME RESULTS ON r-TRUNCATED DEGENERATE POISSON RANDOM VARIABLES
The zero-truncated Poisson distributions are certain discrete probability distributions whose supports are the set of positive integers, which are also known as the conditional Poisson distributions or the positive Poisson distributions. Recently, as a natural extension of those distributions, Kim–Kim studied the zero-truncated degenerate Poisson ...
Kim, Taekyun +6 more
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Umbral nature of the Poisson random variables [PDF]
23 ...
DI NARDO, Elvira, D. SENATO PULLANO
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Some estimates of the normal approximation for mixture of Poisson and gamma random variables
In the paper, we present the upper bound of Lp norms ∆p of the order (a1 + a2)/(DZ)-1/2 for all 1 0, and the random variable Y by the standard gamma distribution Γ (α, 0, 1) with the parameter α > 0.
Jonas Kazys Sunklodas
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A refinement of normal approximation to Poisson binomial
Let X1,X2,…,Xn be independent Bernoulli random variables with P(Xj=1)=1−P(Xj=0)=pj and let Sn:=X1+X2+⋯+Xn. Sn is called a Poisson binomial random variable and it is well known that the distribution of a Poisson binomial random variable can be ...
K. Neammanee
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A geoadditive Bayesian latent variable model for Poisson indicators [PDF]
We introduce a new latent variable model with count variable indicators, where usual linear parametric effects of covariates, nonparametric effects of continuous covariates and spatial effects on the continuous latent variables are modelled through a ...
Fahrmeir, Ludwig, Steinert, Sven
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Weighted Naive Bayes Text Classification Algorithm Based on Poisson Distribution [PDF]
Naive Bayes(NB) algorithm is simple and efficient when applied to text classification,but it has a bottleneck in accuracy due to the intrinsic assumption that attribute independence and attribute importance are consistent.To solve this problem,this paper
ZHAO Bowen, WANG Lingjiao, GUO Hua
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A Random-Effects Log-Linear Model with Poisson Distributions
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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