Constant Rate Distributions on Partially Ordered Sets
We consider probability distributions with constant rate on partially ordered sets, generalizing distributions in the usual reliability setting ([0,∞),≤) that have constant failure rate. In spite of the minimal algebraic structure, there is a surprisingly rich theory, including moment results and re...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2010/675754 |
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| Summary: | We consider probability distributions with constant rate on partially
ordered sets, generalizing distributions in the usual reliability setting
([0,∞),≤) that have constant failure rate. In spite of the minimal algebraic structure, there is a surprisingly rich theory, including moment
results and results concerning ladder variables and point processes. We
concentrate mostly on discrete posets, particularly posets whose graphs
are rooted trees. We pose some questions on the existence of constant
rate distributions for general discrete posets. |
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| ISSN: | 1687-952X 1687-9538 |