Accession Number : ADA119735

Title :   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.

Descriptive Note : Technical rept.,

Corporate Author : STATE UNIV OF NEW YORK AT BINGHAMTON DEPT OF MATHEMATICAL SCIENCES

Personal Author(s) : Yadin,M ; Zacks,S

PDF Url : ADA119735

Report Date : 01 Sep 1982

Pagination or Media Count : 15

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)

Descriptors :   *Curved profiles, *Poisson density functions, *Probability, Visibility, Random variables, Shadows, Light, Methodology, Stars, Poisson equation, Disks, Sizes(Dimensions), Sources, Position(Location)

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE