Determining the Probability of at Least One Success in Trials Conducted on the Lighted Portion of a Star Shaped Curve Subject to a Poisson Shadowing Process.
Abstract
A star shaped curve, C, in the plane is subject to a Poisson shadowing process. According to this process, disks of random size appear at random locations in a region between a source of light, which is at the origin, and the curve C. These disks cast shadows on C. Trials are conducted along the lighted portion of C. Each trail requires a fixed length, l, of C. The different trials are independent and have a fixed probability, p, of success. The number of trials conducted along C is a random variable, N, which depends on the random length of the lighted portion of C. The success probability is P = 1 - (E bracket q to the N bracket), where q = 1 - p. Lower and upper bounds for P are derived. A numerical example shows cases in which these bounds could be very close. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1982
- Accession Number
- ADA119735
Entities
People
- M. Yadin
- S. Zacks
Organizations
- Binghamton University