Fuzzy Probabilities New Approach and Applications
In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2005, 2005
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| Edition: | 1st ed. 2005 |
| Series: | Studies in Fuzziness and Soft Computing
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
| Summary: | In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory |
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| Physical Description: | XI, 168 p online resource |
| ISBN: | 9783540323884 |