Statistical analysis of the inhomogeneous telegrapher's process

dc.creatorIacus, Stefano M.
dc.date2000-11-09
dc.date.accessioned2026-07-07T08:05:58Z
dc.date.available2026-07-07T08:05:58Z
dc.descriptionWe consider a problem of estimation for the telegrapher's process on the line, say X(t), driven by a Poisson process with non constant rate. It turns out that the finite-dimensional law of the process X(t) is a solution to the telegraph equation with non constant coefficients. We give the explicit law P(theta) of the process X(t) for a parametric class of intensity functions for the Poisson process. We propose an estimator for the parameter theta of P(theta) and we discuss its properties as a first attempt to apply statistics to these models.
dc.identifierhttps://arxiv.org/abs/math/0011059
dc.identifierhttp://arxiv.org/abs/math/0011059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130447
dc.subjectProbability
dc.subjectStatistics Theory
dc.subject60K99; 62M99
dc.titleStatistical analysis of the inhomogeneous telegrapher's process
dc.typetext

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