Probability distributions for discrete one-dimensional coverage processes Academic Article uri icon

abstract

  • Recursive decomposition of fundamental events in the directional, one-dimensional, discrete, stationary Boolean model has resulted in analytic representation of the event probabilities and the recursive representation of clump-length and gap-length densities. This paper applies the methodology to find analytic expressions for distributions of a number of random variables, including the number of grains covering a point. It extends the methodology, including clump- and gap-length analysis, to more general coverage processes where marking probabilities and grain-length distributions are point-dependent, and to the case where there can be multiple grains commencing at a marked point. 1998 Elsevier Science B.V. All rights reserved.

published proceedings

  • Signal Processing

author list (cited authors)

  • Handley, J. C., & Dougherty, E. R.

citation count

  • 0

complete list of authors

  • Handley, John C||Dougherty, Edward R

publication date

  • September 1998