Bounds for the probability of union of events following monotonic distribution
| Autor: | Vinay Kumaran, R. Swarnalatha |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Beta negative binomial distribution
Discrete mathematics Probability box Inverse-chi-squared distribution 021103 operations research Applied Mathematics 0211 other engineering and technologies 02 engineering and technology Geometric distribution 01 natural sciences Combinatorics 010104 statistics & probability Joint probability distribution Heavy-tailed distribution Discrete Mathematics and Combinatorics Probability distribution Multinomial distribution 0101 mathematics Mathematics |
| Zdroj: | Discrete Applied Mathematics. 223:98-119 |
| ISSN: | 0166-218X |
| DOI: | 10.1016/j.dam.2017.01.035 |
| Popis: | Sharp bounds for the probability of occurrence of at least one out of n events are found when the probability distribution of the occurrences is supposed to follow monotonic distribution and first m(mn1) binomial moments are known. The bounds are found explicitly for two different cases of increasing and decreasing distributions using operations research techniques. Inverses are found for two different classes of matrices and the bounds are obtained using those inverses. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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