Results 21 to 30 of about 1,179 (57)

Consistency of a Uniform Kernel Estimator for Intensity of a Periodic Poisson Process with Unknown Period [PDF]

, 2008
A uniform kernel estimator for intensity of a periodic Poisson process with unknowm period is presented and a proof of its consistency is discussed. The result presented in this paper is a special case of that in [3].
MANGKU, I. W. (I)
core   +2 more sources

A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

, 2017
In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto, Orsingher, Enzo, Polito, Federico   +2 more
core   +1 more source

The limit theorems on extreme order statistics and partial sums of i.i.d. random variables

Open Mathematics
This article proves several weak limit theorems for the joint version of extreme order statistics and partial sums of independently and identically distributed random variables. The results are also extended to almost sure limit version.
Li Gaoyu, Ling Chengxiu, Tan Zhongquan
doaj   +1 more source

Limit theorems for random point measures generated by cooperative sequential adsorption

, 2006
We consider a finite sequence of random points in a finite domain of a finite-dimensional Euclidean space. The points are sequentially allocated in the domain according to a model of cooperative sequential adsorption. The main peculiarity of the model is
J. W. Evans, M. D. Penrose, P. Hall, R. J. Serfling, V. P. Leonov, Vadim Shcherbakov, Yu. Baryshnikov   +6 more
core   +2 more sources

Deconvolution of point processes [PDF]

, 2012
The superposition of two independent point processes can be described by multiplication of their probability generating functionals (p.g.fl.s). The inverse operation, which can be viewed as a deconvolution, is defined by dividing the superposed process ...
Clark, Daniel Edward
core  

Exit spaces for Cox processes and the P\'olya sum process [PDF]

, 2013
For Cox processes we construct a Markov process with increasing paths to couple the condensations of the Cox process in a monotone way. A similar procedure procedure yields an analogue Markov process for the P\'olya sum process. Moreover, we identify the
Rafler, Mathias
core  

Change point models and conditionally pure birth processes; an inequality on the stochastic intensity

, 2004
We analyze several aspects of a class of simple counting processes, that can emerge in some fields of applications where the presence of a change-point occurs.
Aven, Barbour, Carlstein, Emilio De Santis, Fabio Spizzichino, Kwiecinski, Müller, Spizzichino   +7 more
core   +1 more source

A functional limit theorem for general shot noise processes

, 2019
By a general shot noise process we mean a shot noise process in which the counting process of shots is arbitrary locally finite. Assuming that the counting process of shots satisfies a functional limit theorem in the Skorokhod space with a locally H\"{o ...
Iksanov, Alexander, Rashytov, Bohdan
core   +1 more source

Central Limit Theorems For Local Emprical Processes Near Boundaries of Sets [PDF]

AMS 2000 subject classifications. 60F05, 60F17, 60G55, 62G30.
Einmahl, J.H.J., Khmaladze, E.V.
core   +1 more source

Renewal approach for the energy-momentum relation of the Fröhlich polaron. [PDF]

Lett Math Phys, 2023
Polzer S.
europepmc   +1 more source