Article ID Journal Published Year Pages File Type
1157055 Stochastic Processes and their Applications 2007 18 Pages PDF
Abstract

New criteria are provided for determining whether an integral representation of a stable process is minimal. These criteria are based on various nonminimal sets and their projections, and have several advantages over and shed light on already available criteria. In particular, they naturally lead from a nonminimal representation to the one which is minimal. Several known examples are considered to illustrate the main results. The general approach is also adapted to show that the so-called mixed moving averages have a minimal integral representation of the mixed moving average type.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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