Limit theorems for the fractional nonhomogeneous Poisson process
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2019.16
Abstract: Abstract The fractional nonhomogeneous Poisson process was introduced by a time change of the nonhomogeneous Poisson process with the inverse α-stable subordinator. We propose a similar definition for the (nonhomogeneous) fractional compound Poisson process. We… read more here.
Keywords: limit theorems; nonhomogeneous poisson; poisson process; poisson ... See more keywords
An intermittent sensor versus a target that emits glimpses as a homogenous Poisson process
Sign Up to like & getrecommendations! Published in 2020 at "Journal of the Operational Research Society"
DOI: 10.1080/01605682.2018.1556848
Abstract: Abstract We consider a sensor that alternates randomly between working and broken versus a target that reluctantly gives away glimpses as a homogenous Poisson process. Over any interval of time, the sensor has a probability… read more here.
Keywords: versus target; poisson process; homogenous poisson; glimpses homogenous ... See more keywords
Heine process as a q-analog of the Poisson process—waiting and interarrival times
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2015.1078476
Abstract: ABSTRACT In this study, we introduce the Heine process, {Xq(t), t > 0}, 0 < q < 1, where the random variable Xq(t), for every t > 0, represents the number of events (occurrences or… read more here.
Keywords: interarrival times; heine process; poisson process; analog ... See more keywords
Non-homogeneous space-time fractional Poisson processes
Sign Up to like & getrecommendations! Published in 2018 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2018.1541749
Abstract: Abstract The space-time fractional Poisson process (STFPP), defined by Orsingher and Poilto (2012), is a generalization of the time fractional Poisson process (TFPP) and the space fractional Poisson process (SFPP). We study the fractional generalization… read more here.
Keywords: time fractional; poisson; poisson process; process ... See more keywords
Generating quasi-periodic pulsar glitches using a state-dependent Poisson process
Sign Up to like & getrecommendations! Published in 2018 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/sty3433
Abstract: Glitching pulsars fall broadly into two statistical classes: those with Poisson-like waiting times and power-law sizes, and those with unimodal waiting times and sizes. Previous glitch modeling based on a state-dependent Poisson process readily generates… read more here.
Keywords: poisson process; dependent poisson; state dependent; poisson ... See more keywords
FIND: difFerential chromatin INteractions Detection using a spatial Poisson process.
Sign Up to like & getrecommendations! Published in 2018 at "Genome research"
DOI: 10.1101/gr.212241.116
Abstract: Polymer-based simulations and experimental studies indicate the existence of a spatial dependency between the adjacent DNA fibers involved in the formation of chromatin loops. However, the existing strategies for detecting differential chromatin interactions assume that… read more here.
Keywords: chromatin interactions; chromatin; spatial poisson; differential chromatin ... See more keywords
Mixed-Effects Nonhomogeneous Poisson Process Model for Multiple Repairable Systems
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Access"
DOI: 10.1109/access.2021.3077605
Abstract: The nonhomogeneous Poisson process (NHPP) has become a useful approach for modeling failure patterns of recurrent failure data revealed by minimal repairs from an individual repairable system. Sometimes, multiple repairable systems may present system-to-system variability… read more here.
Keywords: multiple repairable; nonhomogeneous poisson; mixed effects; repairable systems ... See more keywords
An Adaptive and Scalable Multi-Object Tracker Based on the Non-Homogeneous Poisson Process
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2023.3240498
Abstract: This paper proposes a new adaptive framework for tracking multiple objects in the presence of data association uncertainty and heavy clutter, either with or without knowledge of the measurement rates and/or target shapes. Built upon… read more here.
Keywords: poisson; homogeneous poisson; tracker; non homogeneous ... See more keywords
The Transdimensional Poisson Process for Vehicular Network Analysis
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Wireless Communications"
DOI: 10.1109/twc.2021.3089553
Abstract: A comprehensive vehicular network analysis requires modeling the street system and vehicle locations. Even when Poisson point processes (PPPs) are used to model the vehicle locations on each street, the analysis is barely tractable. That… read more here.
Keywords: network analysis; analysis; poisson process; vehicular network ... See more keywords
An integer GARCH model for a Poisson process with time-varying zero-inflation
Sign Up to like & getrecommendations! Published in 2022 at "PLOS ONE"
DOI: 10.1371/journal.pone.0285769
Abstract: A serially dependent Poisson process with time-varying zero-inflation is proposed. Such formulations have the potential to model count data time series arising from phenomena such as infectious diseases that ebb and flow over time. The… read more here.
Keywords: zero inflation; time; poisson process; model ... See more keywords
On the Queue Length Distribution in BMAP Systems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of communications software and systems"
DOI: 10.24138/jcomss.v2i4.272
Abstract: Batch Markovian Arrival Process – BMAP – is a teletraffic model which combines high ability to imitate complex statistical behaviour of network traces with relative simplicity in analysis and simulation. It is also a generalization… read more here.
Keywords: poisson process; bmap; queue length; length distribution ... See more keywords