Results 31 to 40 of about 783,373 (136)

Random convolution of O-exponential distributions

open access: yesNonlinear Analysis, 2015
Assume that ξ1, ξ2, ... are independent and identically distributed non-negative random variables having the O-exponential distribution. Suppose that η is a nonnegative non-degenerate at zero integer-valued random variable independent of ξ1, ξ2, ... . In
Svetlana Danilenko, Jonas Šiaulys
doaj   +1 more source

Asymptotic results for a class of Markovian self-exciting processes

open access: yesJournal of Inequalities and Applications, 2023
Hawkes process is a class of self-exciting point processes with clustering effect whose jump rate relies on their entire past history. This process is usually defined as a continuous-time setting and has been widely applied in several fields, including ...
Youngsoo Seol
doaj   +1 more source

Stretched Exponential Relaxation Arising from a Continuous Sum of Exponential Decays

open access: yes, 2006
Stretched exponential relaxation of a quantity n versus time t according to n = n_0 exp[-(lambda* t)^beta] is ubiquitous in many research fields, where lambda* is a characteristic relaxation rate and the stretching exponent beta is in the range 0 < beta <
D. C. Johnston, K. Weron
core   +1 more source

Reconsideration of sample size and power calculation for overall survival in cancer clinical trials

open access: yesContemporary Clinical Trials Communications, 2018
When designing a cancer clinical trial, it is usual to assume an exponential distribution for a time-to-event outcome such as overall survival (OS). OS is often expressed as the sum of progression-free survival (PFS) and survival post-progression (SPP ...
Inkyung Jung   +3 more
doaj   +1 more source

A Note on Cube-Full Numbers in Arithmetic Progression

open access: yesJournal of Mathematics, 2021
We obtain an asymptotic formula for the cube-full numbers in an arithmetic progression n≡lmod q, where q,l=1. By extending the construction derived from Dirichlet’s hyperbola method and relying on Kloosterman-type exponential sum method, we improve the ...
Mingxuan Zhong, Yuankui Ma
doaj   +1 more source

Odd Exponential-Logarithmic Family of Distributions: Features and Modeling

open access: yesMathematical and Computational Applications, 2022
This paper introduces a general family of continuous distributions, based on the exponential-logarithmic distribution and the odd transformation. It is called the “odd exponential logarithmic family”.
Christophe Chesneau   +3 more
doaj   +1 more source

On Exponential Sums, Nowton identities and Dickson Polynomials over Finite Fields [PDF]

open access: yes, 2010
Let $\mathbb{F}_{q}$ be a finite field, $\mathbb{F}_{q^s}$ be an extension of $\mathbb{F}_q$, let $f(x)\in \mathbb{F}_q[x]$ be a polynomial of degree $n$ with $\gcd(n,q)=1$.
Cao, Xiwang, Hu, Lei
core   +2 more sources

Optimal ambiguity functions and Weil's exponential sum bound

open access: yes, 2011
Complex-valued periodic sequences, u, constructed by Goran Bjorck, are analyzed with regard to the behavior of their discrete periodic narrow-band ambiguity functions A_p(u).
John J. Benedetto   +3 more
core   +2 more sources

Estimation Methods of Theree Parameters Discrete Generalized Exponential [PDF]

open access: yesPakistan Journal of Commerce and Social Sciences, 2010
This article presents the estimation methods of three parameters Discrete Generalized Exponential distribution. The two-parameter generalized exponential distribution was introduced by Gupta and Kundu (1999).
M. Shuaib Khan, M. Aleem, Akbar Ali Shah
doaj  

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

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