Accession Number:

ADA059424

Title:

Two Characterizations for Pascal Signals in Additive Noise.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV DAVIS DEPT OF MATHEMATICS

Report Date:

1978-07-01

Pagination or Media Count:

20.0

Abstract:

Let X be a nonnegative interger-valued random variable whose distribution is the convolution of a Pascal distribution and another distribution on the nonnegative integers which does not depend on the Pascal parameters. The class of all such convolutions satisfying certain moment conditions is characterized by a system of differential equations satisfied by their probability mass functions. The result contains a characterization of Pascal distributions obtained by Boswell and Patil 1973 as a special case. A characterization of convoluted geometric distributions not requiring moment conditions is also given. Author

Subject Categories:

  • Statistics and Probability
  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE