ESTIMATORS BASED ON FUZZY RANDOM VARIABLES AND THEIR MATHEMATICAL PROPERTIES

نویسندگان
Khanjari Sadegh, M. ID 1
Akbari, M. G. ID 2

1 Department of Statistics, Faculty of Sciences, University of Birjand, Southern Khorasan, Birjand

2 Department of Statistics, Faculty of Sciences, University of Birjand, Southern Khorasan, Birjand

doi
10.22111/ijfs.2012.227
چکیده

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.

کلیدواژه‌ها
Fuzzy random variable, Fuzzy parameter, Signed distance, L2- metric, Fuzzy estimator, Fuzzy unbiased estimator, Fuzzy sufficient estimator, Fuzzy risk function