Best choice from the planar Poisson process

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Best Choice from the Planar Poisson Process

Various best-choice problems related to the planar homogeneous Poisson process in finite or semi-infinite rectangle are studied. The analysis is largely based on properties of the onedimensional box-area process associated with the sequence of records. We prove a series of distributional identities involving exponential and uniform random variables, and resolve the Petruccelli-Porosinski-Samuel...

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ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2004

ISSN: 0304-4149

DOI: 10.1016/j.spa.2003.12.005