Abstract
Consider a hidden population of N objects and a search in which different objects are discovered independently, with probabilities that depend on their values. This paper investigates the distribution of values in the population of discovered objects. It also studies the behaviour of a Bayesian model with a prior process, for the number N and the set of values in the hidden population, which consists of a mixture of Poisson processes. If N is large, the weights on different components in the mixture change in a coherent way during the search.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bather, J. A. (1992). “Search models”, J. Appl Prob. 29, 605–615.
Bather, J. A. (1993). “Poisson search models: Monotone stopping rules”, to appear Festschrift for Peter Whittle, Wiley, Chichester.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bather, J.A. (1994). Biased Samples from a Search and the Asymptotic Behaviour of Bayesian Models. In: Mandl, P., Hušková, M. (eds) Asymptotic Statistics. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-57984-4_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-57984-4_13
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0770-7
Online ISBN: 978-3-642-57984-4
eBook Packages: Springer Book Archive