Two Characterizations for Pascal Signals in Additive Noise.

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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

Author(s):
Samaniego, Francisco J. ; Hannon, Gail G.
Author Organization(s):
CALIFORNIA UNIV DAVIS DEPT OF MATHEMATICS
Descriptive Note:
Technical rept.,
Pagination:
0020

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TR-5, AFOSR-TR-78-1266
Contract/Grant Number(s):
AFOSR-77-3180
Task Number(s):
A5
Project Number(s):
2304
Monitor Series:
TR-78-1266
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*SIGNAL TO NOISE RATIO, *DISCRETE DISTRIBUTION, *CONVOLUTION, *DISTRIBUTION THEORY, QUEUEING THEORY, DIFFERENTIAL EQUATIONS, SONAR SIGNALS, NERVE IMPULSES, COUNTERS
Field(s)/Group(s):
Statistics and Probability, Cybernetics
Keyword(s):
Pascal signals, Additive noise, Integral values, Geometric distributions, Signal plus noise distributions, Maximum likelihood estimation, PE61102F, WUAFOSR2304A5
Report Date:
1978 Jul 01