Results 41 to 50 of about 165,955 (179)

Randomly stopped sums with exponential-type distributions

open access: yesNonlinear Analysis, 2017
Assume that {ξ1, ξ2, …} are independent and possibly nonidentically distributed random variables. Suppose that η is a nonnegative, nondegenerate at zero and integer-valued random variable, which is independent of {ξ1, ξ2, …}.
Svetlana Danilenko   +2 more
doaj   +1 more source

Mixture Representations for Generalized Burr, Snedecor–Fisher and Generalized Student Distributions with Related Results

open access: yesMathematics, 2023
In this paper, the representability of the generalized Student’s distribution as uniform and normal-scale mixtures is considered. It is also shown that the generalized Burr and the Snedecor–Fisher distributions can be represented as the scale mixtures of
Victor Korolev, Alexander Zeifman
doaj   +1 more source

A study in sums of products

open access: yes, 2015
We give a general version of cancellation in exponential sums that arise as sums of products of trace functions satisfying a suitable independence condition related to the Goursat-Kolchin-Ribet criterion, in a form that is easily applicable in analytic ...
Fouvry, É., Kowalski, E., Michel, Ph.
core   +1 more source

Moments, Exponential Sums, and Monodromy Groups

open access: yesForum of Mathematics, Sigma
We determine the geometric monodromy groups attached to various families, both one-parameter and multi-parameter, of exponential sums over finite fields, or, more precisely, the geometric monodromy groups of the $\ell $ -adic local systems on ...
Nicholas M. Katz, Pham Huu Tiep
doaj   +1 more source

Private Decayed Sum Estimation under Continual Observation

open access: yes, 2012
In monitoring applications, recent data is more important than distant data. How does this affect privacy of data analysis? We study a general class of data analyses - computing predicate sums - with privacy.
Bolot, Jean   +4 more
core   +1 more source

On the Sixth Power Mean Value of the Generalized Three-Term Exponential Sums

open access: yesAbstract and Applied Analysis, 2014
The main purpose of this paper is using the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean value of the generalized three-term exponential sums and give an ...
Yahui Yu, Wenpeng Zhang
doaj   +1 more source

Two New Classes of Codebooks Asymptotically Achieving the Welch Bound

open access: yesIEEE Access, 2021
Exponential sums over Galois rings have many applications in coding theory, cryptography and algebraic combinatorics. In this article, we employ additive characters and multiplicative characters over Galois rings to present two classes of codebooks, and ...
Shimin Sun, Li Han, Yang Yan, Yao Yao
doaj   +1 more source

Asymptotics and formulas for cubic exponential sums

open access: yes, 2017
Several asymptotic expansions and formulas for cubic exponential sums are derived. The expansions are most useful when the cubic coefficient is in a restricted range.
Hiary, Ghaith A.
core   +1 more source

Tropical varieties for exponential sums [PDF]

open access: yesMathematische Annalen, 2019
18 pages, 3 figures. This version corrects an erroneous proof of Theorem 1.1, and a small typo in Assertion (3) of Theorem 1.5, in the published ...
Alperen A. Ergür   +2 more
openaire   +3 more sources

On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums

open access: yesJournal of Mathematics, 2021
The main purpose of this article is using the elementary methods and the properties of the quadratic residue modulo an odd prime p to study the calculating problem of the fourth power mean of one kind two-term exponential sums and give an interesting ...
Jingzhe Wang
doaj   +1 more source

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