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09/05/2023
Non-asymptotic approximations for Pearson's chi-square statistic and its application to confidence intervals for strictly convex functions of the probability weights of discret
In this paper, we develop a non-asymptotic local normal approximation fo...
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08/09/2023
Deficiency bounds for the multivariate inverse hypergeometric distribution
The multivariate inverse hypergeometric (MIH) distribution is an extensi...
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08/06/2023
Asymptotic comparison of negative multinomial and multivariate normal experiments
This note presents a refined local approximation for the logarithm of th...
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08/02/2023
A new adaptive local polynomial density estimation procedure on complicated domains
This paper presents a novel approach for pointwise estimation of multiva...
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09/10/2022
Local limit theorems and probability metrics bounds for the inverse Gaussian distribution and its multivariate extension
In this paper, we prove a local limit theorem and probability metrics bo...
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09/10/2022
Moments of the negative multinomial distribution
The negative multinomial distribution appears in many areas of applicati...
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09/03/2022
The Gaussian product inequality conjecture for multinomial covariances
In this paper, we find an equivalent combinatorial condition only involv...
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06/04/2022
Miscellaneous results related to the Gaussian product inequality conjecture for the joint distribution of traces of Wishart matrices
This note reports partial results related to the Gaussian product inequa...
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02/08/2022
Local normal approximations and probability metric bounds for the matrix-variate T distribution and its application to Hotelling's T statistic
In this paper, we develop local expansions for the ratio of the centered...
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01/19/2022
Refined normal approximations for the central and noncentral chi-square distributions and some applications
In this paper, we prove a local limit theorem for the chi-square distrib...
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01/16/2022
Refined normal approximations for the Student distribution
In this paper, we develop a local limit theorem for the Student distribu...
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12/23/2021
A combinatorial proof of the Gaussian product inequality conjecture beyond the MTP2 case
In this paper, we present a combinatorial proof of the Gaussian product ...
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12/06/2021
Minimax properties of Dirichlet kernel density estimators
This paper is concerned with the asymptotic behavior in β-Hölder spaces ...
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09/06/2021
Bounding Means of Discrete Distributions
We introduce methods to bound the mean of a discrete distribution (or fi...
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07/24/2021
On the Le Cam distance between multivariate hypergeometric and multivariate normal experiments
In this short note, we develop a local approximation for the log-ratio o...
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04/11/2021
A symmetric matrix-variate normal local approximation for the Wishart distribution and some applications
The noncentral Wishart distribution has become more mainstream in statis...
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04/06/2021
Counterexamples to the classical Central Limit Theorem for triplewise independent random variables having a common arbitrary margin
We construct explicitly two sequences of triplewise independent random v...
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03/16/2021
A refined continuity correction for the negative binomial distribution and asymptotics of the median
In this paper, we prove a local limit theorem and a refined continuity c...
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03/04/2021
Upper bound on the total variation between Dirichlet and multivariate normal distributions
In this paper, we prove an asymptotic expansion for the ratio of the Dir...
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12/26/2020
General formulas for the central and non-central moments of the multinomial distribution
We present the first general formulas for the central and non-central mo...
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11/30/2020
A study of seven asymmetric kernels for the estimation of cumulative distribution functions
In Mombeni et al. (2019), Birnbaum-Saunders and Weibull kernel estimator...
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10/29/2020
A non-asymptotic version of Cressie's refined continuity correction for the binomial distribution
In this paper, we prove a non-asymptotic version of the refined continui...
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10/11/2020
A local limit theorem for the Poisson distribution and its application to the Le Cam distance between Poisson and Gaussian experiments and asymptotic properties of Szasz estima
In this paper, we develop a precise local limit theorem for the Poisson ...
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07/13/2020
A comprehensive empirical power comparison of univariate goodness-of-fit tests for the Laplace distribution
In this paper, we do a comprehensive survey of all univariate goodness-o...
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06/21/2020
Asymptotic properties of Bernstein estimators on the simplex. Part 2: the boundary case
In this paper, we study the asymptotic properties (bias, variance, mean ...
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03/03/2020
A counterexample to the central limit theorem for pairwise independent random variables having a common arbitrary margin
The Central Limit Theorem (CLT) is one of the most fundamental results i...
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02/18/2020
Asymptotic properties of Bernstein estimators on the simplex
In this paper, we study various asymptotic properties (bias, variance, m...
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02/17/2020
Density estimation using Dirichlet kernels
In this paper, we introduce Dirichlet kernels for the estimation of mult...
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01/23/2020
A precise local limit theorem for the multinomial distribution
We develop a precise local limit theorem for the multinomial distributio...
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09/08/2018
