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A model for spatial survival

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  • Finkelstein, M. S.

Abstract

This paper presents a general approach for analysing spatial survival in the plane. Two types of initial random events are considered: points with fixed coordinates and moving points. A small normally or tangentially oriented interval is moving along a fixed route in the plane, crossing points of initial Poisson random processes. Each crossing leads to the termination of the process with a given probability. The probability of passing the route without termination is derived. A safety at sea application is discussed.

Suggested Citation

  • Finkelstein, M. S., 2003. "A model for spatial survival," Statistics & Probability Letters, Elsevier, vol. 62(4), pages 371-378, May.
    • Handle: RePEc:eee:stapro:v:62:y:2003:i:4:p:371-378
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    References listed on IDEAS

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    1. Y. Kebir, 1991. "On hazard rate processes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(6), pages 865-876, December.
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