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Iranian Journal of Fuzzy Systems، جلد ۹، شماره ۱، صفحات ۷۹-۹۵

عنوان فارسی ESTIMATORS BASED ON FUZZY RANDOM VARIABLES AND THEIR MATHEMATICAL PROPERTIES
چکیده فارسی مقاله In statistical inference, the point estimation problem is very crucial
and has a wide range of applications. When, we deal with some concepts
such as random variables, the parameters of interest and estimates may be
reported/observed as imprecise. Therefore, the theory of fuzzy sets plays an
important role in formulating such situations. In this paper, we rst recall the
crisp uniformly minimum variance unbiased (UMVU) and Bayesian estimators
and then develop the concept of fuzzy estimators for fuzzy parameters based
on fuzzy random variables.
کلیدواژه‌های فارسی مقاله Fuzzy random variable، Fuzzy parameter، Signed distance، L2- metric، Fuzzy estimator، Fuzzy unbiased estimator، Fuzzy sufficient estimator، Fuzzy risk function،

عنوان انگلیسی ESTIMATORS BASED ON FUZZY RANDOM VARIABLES AND THEIR MATHEMATICAL PROPERTIES
چکیده انگلیسی مقاله In statistical inference, the point estimation problem is very crucial
and has a wide range of applications. When, we deal with some concepts
such as random variables, the parameters of interest and estimates may be
reported/observed as imprecise. Therefore, the theory of fuzzy sets plays an
important role in formulating such situations. In this paper, we rst recall the
crisp uniformly minimum variance unbiased (UMVU) and Bayesian estimators
and then develop the concept of fuzzy estimators for fuzzy parameters based
on fuzzy random variables.
کلیدواژه‌های انگلیسی مقاله Fuzzy random variable, Fuzzy parameter, Signed distance, L2- metric, Fuzzy estimator, Fuzzy unbiased estimator, Fuzzy sufficient estimator, Fuzzy risk function

نویسندگان مقاله M. G. Akbari |
Department of Statistics, Faculty of Sciences, University of Birjand, Southern Khorasan, Birjand

M. Khanjari Sadegh |
Department of Statistics, Faculty of Sciences, University of Birjand, Southern Khorasan, Birjand


نشانی اینترنتی http://ijfs.usb.ac.ir/article_227_b17c576a5e5de627e505d9f09b0d933c.pdf
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