Asymptotic distributions of weighted pontograms under contiguous alternatives

Let {N(x), x ≥ 0} be a non-homogeneous, also called non-stationary, Poisson process with density function λ(x), x ≥ 0. We consider the problem of testing the null hypothesis of λ(x) having a constant value against the alternative that λ(x) is a function of x.

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 1992-09, Vol.112 (2), p.431-447
1. Verfasser: Szyszkowicz, Barbara
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container_title Mathematical proceedings of the Cambridge Philosophical Society
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creator Szyszkowicz, Barbara
description Let {N(x), x ≥ 0} be a non-homogeneous, also called non-stationary, Poisson process with density function λ(x), x ≥ 0. We consider the problem of testing the null hypothesis of λ(x) having a constant value against the alternative that λ(x) is a function of x.
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subjects Exact sciences and technology
Mathematics
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Stochastic processes
title Asymptotic distributions of weighted pontograms under contiguous alternatives
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