On Secondary Stochastic Processes Generated by a Multidimensional Poisson Process = Többdimenziós Poisson-folyamat által származtatott másodlagos folyamatokról

Takács, Lajos (1957) On Secondary Stochastic Processes Generated by a Multidimensional Poisson Process = Többdimenziós Poisson-folyamat által származtatott másodlagos folyamatokról. A MAGYAR TUDOMÁNYOS AKADÉMIA MATEMATIKAI KUTATÓ INTÉZETÉNEK KÖZLEMÉNYEI, 2 (1-2). pp. 71-80.

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Abstract

In an earlier paper [4] the author deduced some theorems concerning secondary stochastic processes generated by a one-dimensional Poisson process. In the present paper a more general case will be investigated. We suppose that the underlying process is a homogeneous Poisson process defined on an m-dimensional space. We shall establish theorems which are generalisations of the theorems formulated in [4]. The proofs are based on the method of [4].

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