An algebraic structure for the convolution of life distributions.
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Authors
Hogg, Danny L.
Subjects
Advisors
Esary, J.D.
Jayachandran, T.
Date of Issue
1982-10
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
In this paper one method for analytically describing the
life distribution of a system is investigated. This is
done by using the inherent properties of convolutions and
mixtures of life distributions to create an algebraic structure.
Once the algebraic structure is constructed it can be
used to develop algorithms to go from the schematic of a
system to its survival function. It is noted along the way
that many combinations of constant failure rate components,
e.g., redundant, series, or parallel systems can be described
by a mixture of convolutions and that often these expressions
can be greatly simplified.
Type
Thesis
Description
Series/Report No
Department
Applied Mathematics
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.