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On starr and vardi's estimates of the number of transmission sources

Published online by Cambridge University Press:  14 July 2016

Peter Hall
Peter Hall*
Affiliation:
The Australian National University
*
∗Postal address: Department of Statistics, The Faculties, The Australian National University, P.O. Box 4, Canberra, A.C.T. 2600, Australia.
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Abstract

We propose an estimator for the number of sources, N, which transmit signals according to a Poisson process with a common rate μ. This estimation problem was originated by Starr and pursued by Vardi. Our procedure is a ‘double sampling’ one and has the advantage that it can be used when μ is unknown.

Keywords

DOUBLE SAMPLINGFINITE POPULATIONSPOISSON PROCESSTRANSMISSION SOURCES
Type
Research Paper
Information
Journal of Applied Probability , Volume 19 , Issue 1 , March 1982 , pp. 52 - 63
Copyright
Copyright © Applied Probability Trust 1982 

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References

Blumenthal, S. and Marcus, R. (1975) Estimating population size with exponential failure. J. Amer. Statist. Assoc. 70, 913–922.Google Scholar
Cox, D. R. (1952) Estimation by double sampling. Biometrika 39, 217–227.Google Scholar
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Stein, C. (1945) A two sample test for a linear hypothesis whose power is independent of the variance. Ann. Math. Statist. 16, 243–258.CrossRefGoogle Scholar
Vardi, Y. (1980) On a stopping time of Starr and its use in estimating the number of transmission sources. J. Appl. Prob. 17, 235–242.Google Scholar