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Measure Distributions for Some Poisson Process Random Domains and Statistical Applications
Author:
Marcello De Giosa a
| Affiliation: | a Dipartimento di Matematica, Universit di Bari, Bari, Italy |
DOI:
10.1080/07362990701568510
Publication Frequency:
6 issues per year
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Abstract
We define random domains originated by a homogeneous planar Poisson process on
 that have been never considered before. Distributional results are stated and proved for the Lebesgue measure of the considered domains. Statistical applications are outlined.
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| Keywords: Exponential and gamma distributions; Natural filtration; Parametric inference; Planar Poisson process |
| Mathematics Subject Classification: 60G55; 60D05 |
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