Abstract
A fishing model of Starr, Wardrop, and Woodroofe is related to the sequential search model of Cozzolino. The latter is generalized to allow an arbitrary joint distribution of capture times and fish sizes. Implications to the foraging models of Oaten and Green and to debugging software are indicated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alsmeyer, G. & Irle, A. (1989), ‘Optimal strategies for discovering new species in continuous time’, Journal of Applied Probability 26, 695–706.
Banerjee, P. K. & Sinha, B. K. (1985), ‘Optimal and adaptive strategies in discovering new species’, Sequential Analysis 4, 111–122.
Cozzolino, J. M. (1972), ‘Sequential search for an unknown number of objects of nonuniform size’, Operations Research 20, 293–308.
Dalal, S. R. & Mallows, C. (1988), ‘When should one stop testing software?’, Journal of the American Statistical Association 83, 772–779.
Ferguson, T. S. & Hardwick, J. P. (1989), ‘Stopping rules for proofreading’, Journal of Applied Probability 26, 304–313.
Green, R. F. (1980), ‘Bayesian birds: A simple example of Oaten’s stochastic model of optimal foraging’, Theoretical Population Biology 18, 244–256.
Green, R. F. (1987), Stochastic models of optimal foraging, in A. C. Kamil, J. R. Krebs & H. R. Pullman, eds, ‘Foraging Behavior’, Plenum Press, New York, pp. 273–302.
Kramer & Starr, N. (1990), ‘Optimal stopping in a size dependent search’, Sequential Analysis 9, 59–80.
Oaten, A. (1977), ‘Optimal foraging in patches: A case for stochasticity’, Theoretical Population Biology 12, 263–285.
Rasmussen, S. & Starr, N. (1979), ‘Optimal and adaptive search for a new species’, Journal of the American Statistical Association 74, 661–667.
Ross, S. M. (1971), ‘Infinitesimal look-ahead stopping rules’, Annals of Mathematical Statistics 42, 297–303.
Starr, N. (1974), ‘Optimal and adaptive stopping based on capture times’, Journal of Applied Probability 11, 294–301.
Starr, N. & Woodroofe, M. (1974), Gone fishin’: Optimal stopping based on catch times, Technical Report 33, Department of Statistics, University of Michigan.
Starr, N., Wardrop, R. & Woodroofe, M. (1976), ‘Estimating a mean from delayed observations’, Zeitschrift für Wahrscheinlichkeitstheorie and Verwandte Gebiete 35, 103–113.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ferguson, T.S. (1997). A Poisson Fishing Model. In: Pollard, D., Torgersen, E., Yang, G.L. (eds) Festschrift for Lucien Le Cam. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1880-7_14
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1880-7_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7323-3
Online ISBN: 978-1-4612-1880-7
eBook Packages: Springer Book Archive