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The Statistics of a Particular Non-Homogeneous Poisson Process
Biometrika, 1964SUMMARY An analytic expression is derived for the average probability density function of the time interval between two consecutive events in a continuum of time, for the case in which the instantaneous rate of occurrence of events contains a term varying sinusoidally with the time in addition to a constant term.
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Non-homogeneous Poisson and renewal processes as spatial models for cancer mutation
Computational Biology and Chemistry, 2023Advances in sequencing technology assisted biologists in revealing signatures of DNA cancer mutation process and in demonstrating the mutagenesis behind. However, most of these signatures proposed by majority of work focus only on the type and frequency of mutations, without considering spatial information which is non-negligible in exploring ...
Hengyuan Miao +2 more
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Regression trees and forests for non-homogeneous Poisson processes
Statistics & Probability Letters, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mathlouthi, Walid +2 more
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ML Estimation of Intensity Function in Non-homogeneous Poisson Processes
Operations Research ForumzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anjale Ramesh, Manoharan M.
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Sevastyanov branching processes with non-homogeneous Poisson immigration
Proceedings of the Steklov Institute of Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitov, Kosto V., Yanev, Nickolay M.
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Modeling environmental noise exceedances using non-homogeneous Poisson processes
The Journal of the Acoustical Society of America, 2014In this work a non-homogeneous Poisson model is considered to study noise exposure. The Poisson process, counting the number of times that a sound level surpasses a threshold, is used to estimate the probability that a population is exposed to high levels of noise a certain number of times in a given time interval.
GUARNACCIA, CLAUDIO +3 more
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Kernel Based Estimation for a Non-Homogeneous Poisson Processes
Advanced Materials Research, 2013The non-homogeneous Poisson model has been applied to various situations, including air pollution data. In this paper, we propose a kernel based nonparametric estimation for fitting the non-homogeneous Poisson process data. We show that our proposed estimator is-consistent and asymptotically normally distributed.
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Random forests for homogeneous and non-homogeneous Poisson processes with excess zeros
Statistical Methods in Medical Research, 2019We propose a general hurdle methodology to model a response from a homogeneous or a non-homogeneous Poisson process with excess zeros, based on two forests. The first forest in the two parts model is used to estimate the probability of having a zero.
Walid Mathlouthi +2 more
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On tests for spatial trend in a non-homogeneous Poisson process
Journal of Applied Statistics, 1988Certain spatial point patterns may be associated with a single fixed point. Some simple tests for spatial trend in radial and angular distribution are recommended when no interaction between the radial and angular distribution is found. Interaction tests for more complex rate finctions are discussed and a practical example of the analysis applied to ...
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Limit Theorems for Supercritical Markov Branching Processes with Non-homogeneous Poisson Immigration
Proceeding of the Bulgarian Academy of Sciences, 2013This paper deals with Markov branching processes allowing immigration at random time points described by a non-homogeneous Poisson process. This class of processes generalizes a classical model proposed by Sevastyanov, which included a time-homogeneous Poisson immigration. The proposed model finds applications in cell kinetics studies.
Hyrien, Ollivier +2 more
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