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On inference in a one-dimensional mosaic and an M/G/∞ queue

Published online by Cambridge University Press:  01 July 2016

Peter Hall
Peter Hall*
Affiliation:
The Australian National University
*
∗Postal address: Department of Statistics, Faculty of Economics, The Australian National University, GPO Box 4, Canberra ACT 2601, Australia.
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Abstract

Suppose segments are distributed at random along a line, their locations being determined by a Poisson process. In the case where segment length is fixed, we compare efficiencies of several different estimates of Poisson intensity. The case of random segment length is also considered, and there we study estimation procedures based on empiric properties. The one-dimensional mosaic may be viewed as an M/G/∞ queue.

Keywords

CENTRAL LIMIT THEOREMCOVERAGE PROBLEMEFFICIENCYGEOMETRIC PROBABILITYM/G/∞QUEUEMOSAIC PROCESSPOISSON PROCESS
Type
Research Article
Information
Advances in Applied Probability , Volume 17 , Issue 1 , March 1985 , pp. 210 - 229
Copyright
Copyright © Applied Probability Trust 1985 

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