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A characterization of non-homogeneous poisson processes
Stochastics, 1985The arrival times for a large number q of independent replications of a simple point processes on [0,1] are ranked. Let {ni;i=l,...,^f} be the number of arrivals for each replication. The ranks are randomly distributed if their distribution among the replications is the same as that obtained by drawing groups of {nj?=1 balls randomly and without ...
Aline Chouinard, David Mcdonald
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Hypothesis testing for a non-homogeneous poisson process
Communications in Statistics. Stochastic Models, 1987The paper considers the situation when a displaced Poisson process is observed only at the shifted time points \(T_ 1,T_ 2,...\), where the displacement intervals are assumed to be i.i.d. with distribution function F. An example of such a process is given by the output process of an \(M| G| \infty\) queue, where displacement corresponds to service ...
Léger, Christian, Wolfson, David B.
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Estimating the Period of a Cyclic Non‐Homogeneous Poisson Process
Scandinavian Journal of Statistics, 2012Abstract. Motivated by applications of Poisson processes for modelling periodic time‐varying phenomena, we study a semi‐parametric estimator of the period of cyclic intensity function of a non‐homogeneous Poisson process. There are no parametric assumptions on the intensity function which is treated as an infinite dimensional nuisance parameter.
Belitser, E., Serra, P., van Zanten, H.
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On Modeling Change Points in Non-Homogeneous Poisson Processes
Statistical Inference for Stochastic Processes, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruggeri F, Sivaganesan S
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Truncated Non-homogeneous Poisson Process Models — Properties and Performance
OPSEARCH, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grottke, Michael, Trivedi, Kishor S.
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A note on the non-homogeneous poisson cluster process
Journal of Applied Probability, 1977It is proved that, in a non-homogeneous Poisson cluster process whose cluster centre rate is λ(t), the long-term behaviour of several associated quantities is equivalent to their behaviour in a homogeneous process with centre rate Λ and the same cluster structure if λ(t)→ λ as t→∞.
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Multiple Pitch Estimation Using Non-Homogeneous Poisson Processes
IEEE Journal of Selected Topics in Signal Processing, 2011Novel statistical models are proposed and developed in this paper for automated multiple-pitch estimation problems. Point estimates of the parameters of partial frequencies of a musical note are modeled as realizations from a non-homogeneous Poisson process defined on the frequency axis. When several notes are combined, the processes for the individual
Paul H. Peeling, Simon J. Godsill
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RENEWAL AGING IN NON-HOMOGENEOUS POISSON PROCESSES WITH PERIODIC RATE MODULATION
International Journal of Bifurcation and Chaos, 2008The statistical properties of sequences of Waiting Times generated by Non-Homogeneous Poisson Processes are investigated by means of Renewal Aging, i.e. a statistical analysis being able to detect the presence of genuine renewal events with non-Poisson statistics.
Paolo Paradisi +3 more
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