Results 31 to 40 of about 726,506 (255)
Local central limit theorem for real eigenvalue fluctuations of elliptic GinOE matrices [PDF]
Electronic Communications in Probability, 2023 Random matrices from the elliptic Ginibre orthogonal ensemble (GinOE) are a certain linear combination of a real symmetric, and real anti-symmetric, real Gaussian random matrices and controlled by a parameter $\tau$.
P. Forrester
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A local limit theorem for Poisson binomial random variables
ScienceAsia, 2021 : We investigate the local limit theorem for Poisson binomial random variables S n : = (cid:80) n i = 1 X i , where X 1 , X 2 ,..., X n are independent Bernoulli random variables.
T. Siripraparat, K. Neammanee
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A local limit theorem for linear random fields [PDF]
Journal of Time Series Analysis, 2020 In this article, we establish a local limit theorem for linear fields of random variables constructed from i.i.d. innovations each with finite second moment.
Timothy Fortune +2 more
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A precise local limit theorem for the multinomial distribution [PDF]
, 2020 We develop a precise local limit theorem for the multinomial distribution where the error terms are explicit up to an order smaller than previous known results by a factor of $N^{1/2}$.
Frédéric Ouimet
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Optimal Local Law and Central Limit Theorem for $$\beta $$-Ensembles [PDF]
Communications in Mathematical Physics, 2021 In the setting of generic β-ensembles, we use the loop equation hierarchy to prove a local law with optimal error up to a constant, valid on any scale including microscopic. This local law has the following consequences. (i) The optimal rigidity scale of
P. Bourgade, Krishnan Mody, Michel Pain
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Asymtotical expansions in local limit theorem of large deviations
Lietuvos Matematikos Rinkinys, 2002 We continue investigation of the local distribution of multiplicative arithmetic functions from the class M(G). In the present paper the local limit theorem of large deviations with asymptotical expansion of the principal term is obtained.
Rimantas Skrabutėnas
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The asymptotic of the density of the k-th maxima of independent random variables
Lietuvos Matematikos Rinkinys, 2023 In this paper the local limit theorem for density of k-th maxima of independent identically distributed random variables is proved.
Arvydas Jokimaitis
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The local limit theorem of large deviations for multiplicative functions
Lietuvos Matematikos Rinkinys, 2001 In the present paper we continue investigation of the local distribution of multiplicative arithmetic functions from the class M(G). A local theorem of large deviations is obtained.
Rimantas Skrabutėnas
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The local limit theorem of Delange in the Knopfmacher's semigroup
Lietuvos Matematikos Rinkinys, 2004 An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G) with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.
Rimantas Skrabutėnas
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Central and local limit theorems for the weighted Delannoy numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this research we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for weighted numbers of the triangle and establish the rate of convergence to the limiting (normal ...
Belovas Igoris
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