SUMMATION BY PARTS, ABEL'S IDENTITY, AND MATHEMATICAL EXPECTATION,

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Abstract:

This report starts with a brief introduction to the summation calculus through consideration of sums and differences as inverses. Following this, several relations are derived for use in transforming sums, including sums of infinitely many terms. Special attention is paid to problems of convergence for expectations relative to discrete probability distributions. Author

Author(s):
Marlow, W. H.
Author Organization(s):
GEORGE WASHINGTON UNIV WASHINGTON D C
Supplementary Note:
Rept. on Logistics Research Proj.
Annotation:
Summation by parts, Abel's identity, and mathematical expectation.
Pagination:
0018

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
Serial-T-179
Contract/Grant Number(s):
Nonr-761(03), Nonr-761(05)
Project Number(s):
NR-345-107, NR-047-001
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*DIFFERENCE EQUATIONS, LOGISTICS, MATHEMATICAL PREDICTION, DISTRIBUTION THEORY, IDENTITIES, SERIES(MATHEMATICS), PROBABILITY, TRANSFORMATIONS(MATHEMATICS), INVENTORY
Report Date:
1965 Jan 13