Two Characterizations for Pascal Signals in Additive Noise.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1978
- Accession Number
- ADA059424
Entities
People
- Francisco J. Samaniego
- Gail G. Hannon
Organizations
- University of California, Davis