ON FUZZY BAYESIAN-INFERENCE

被引：38

作者：

FRUHWIRTHSCHNATTER, S

机构：

[1] Department of Statistics, Vienna University of Economics, Vienna

来源：

FUZZY SETS AND SYSTEMS | 1993年 / 60卷 / 01期

关键词：

BAYES THEOREM; BAYESIAN INFERENCE FOR FUZZY DATA; FUZZY BAYES ESTIMATE; FUZZY DATA; FUZZY PRIOR; FUZZY SAMPLES; LIKELIHOOD FUNCTION; POSTERIOR DISTRIBUTION; PREDICTIVE DISTRIBUTION; PROPAGATION OF FUZZINESS;

D O I：

10.1016/0165-0114(93)90288-S

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The paper combines methods from Bayesian statistics with ideas from fuzzy set theory to generalize Bayesian methods both for samples of fuzzy data and for prior distributions with non-precise parameters. Applying the principle of propagation of fuzziness we introduce a fuzzy valued likelihood function, Bayes' theorem for both fuzzy data and fuzzy priors, a fuzzy Bayes' estimator, fuzzy predictive densities and distributions, and fuzzy H.P.D.-regions.

引用

页码：41 / 58

页数：18

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[1] BAYESIAN-INFERENCE
ROBERTS, HV
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