Add to ORKGThis note presents a refined local approximation for the logarithm of the ratio between the negative multinomial probability mass function and a multivariate normal density, both having the same mean-covariance structure. This approximation, which is derived using Stirling's formula and a meticulous treatment of Taylor expansions, yields an upper bound on the Hellinger distance between the jittered negative multinomial distribution and the corresponding multivariate normal distribution. Upper bounds on the Le Cam distance between negative multinomial and multivariate normal experiments ensue.Comment: 12 pages, 0 figure
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International audienceWe derive explicit bounds for the computation of normalizing constants Z for l...
In this short note, we develop a local approximation for the log-ratio of the multivariate hypergeom...
In a recent paper, Gaunt 2020 extended Stein's method to limit distributions that can be represented...
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In this paper, we develop a non-asymptotic local normal approximation for multinomial probabilities....
In this paper, we develop local expansions for the ratio of the centered matrix-variate $T$ density ...
We prove a Berry-Esseen bound in de Jong's classical CLT for normalized, completely degenerate $U$-s...
The Muttalib-Borodin biorthogonal ensemble is a probability density function for $n$ particles on th...
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In the paper, the authors introduce a matrix-parametrized generalization of the multinomial probabil...
We obtain asymptotic approximations for the probability density function of the product of two corre...
The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the d...
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In this work, we derived new asymptotic results for multinomial models. To obtain these results, we ...
International audienceWe derive explicit bounds for the computation of normalizing constants Z for l...