An algebraic structure for the convolution of life distributions.
Approved for public release; distribution unlimired === 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...
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Monterey, California. Naval Postgraduate School
2012
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| Online Access: | http://hdl.handle.net/10945/20044 |
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ndltd-nps.edu-oai-calhoun.nps.edu-10945-200442015-05-20T16:00:06Z An algebraic structure for the convolution of life distributions. Hogg, Danny L. Esary, J. D. Javachandran, T. Applied Mathematics Approved for public release; distribution unlimired 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. 2012-11-20T00:06:29Z 2012-11-20T00:06:29Z 1982-10 Thesis http://hdl.handle.net/10945/20044 en_US Monterey, California. Naval Postgraduate School |
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NDLTD |
| language |
en_US |
| sources |
NDLTD |
| description |
Approved for public release; distribution unlimired === 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. |
| author2 |
Esary, J. D. |
| author_facet |
Esary, J. D. Hogg, Danny L. |
| author |
Hogg, Danny L. |
| spellingShingle |
Hogg, Danny L. An algebraic structure for the convolution of life distributions. |
| author_sort |
Hogg, Danny L. |
| title |
An algebraic structure for the convolution of life distributions. |
| title_short |
An algebraic structure for the convolution of life distributions. |
| title_full |
An algebraic structure for the convolution of life distributions. |
| title_fullStr |
An algebraic structure for the convolution of life distributions. |
| title_full_unstemmed |
An algebraic structure for the convolution of life distributions. |
| title_sort |
algebraic structure for the convolution of life distributions. |
| publisher |
Monterey, California. Naval Postgraduate School |
| publishDate |
2012 |
| url |
http://hdl.handle.net/10945/20044 |
| work_keys_str_mv |
AT hoggdannyl analgebraicstructurefortheconvolutionoflifedistributions AT hoggdannyl algebraicstructurefortheconvolutionoflifedistributions |
| _version_ |
1716804121847136256 |