ESTIMATORS BASED ON FUZZY RANDOM VARIABLES AND THEIR MATHEMATICAL PROPERTIES

Publish Year: 1391
نوع سند: مقاله ژورنالی
زبان: English
View: 183

This Paper With 17 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_IJFS-9-1_007

تاریخ نمایه سازی: 7 تیر 1401

Abstract:

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.

Authors

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

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • bibitem{A}M. G. Akbari and A. Rezaei, {it An uniformly minimum ...
  • bibitem{B}M. G. Akbari and A. Rezaei, {it Order statistics using ...
  • bibitem{au}R. J. Aumann, {it Integrals of set-valued functions}, Journal of ...
  • bibitem{bi} P. Billingsley, {it Probability and measure}, ۲nd ed., New York:John ...
  • bibitem{ca}J. J. Buckley, {it Fuzzy probabilities: new approach and applications}, ...
  • bibitem{cb}J. J. Buckley, {it Fuzzy probability and statistics}, Springer-Verlag, Berlin, ...
  • bibitem{ch}C. Cheng, {it A new approach for ranking fuzzy numbers ...
  • bibitem{g۱}G. Z. Gertner and H. Zhu, {it Bayesian estimation in ...
  • bibitem{ho}H. Hong-Zhong, J. Z. Ming and S. Zhan-Quan, {it Bayesianreliability ...
  • bibitem{hr}O. Hryniewicz, {it Possibilities approach to the Bayes statisticaldecisions}, In: ...
  • bibitem{k۱}R. Kruse, {it Statistical estimation with linguistic data},Information Sciences, {bf ...
  • bibitem{k۲}R. Kruse and K. D. Meyer, {it Statistics with vague ...
  • bibitem{kw}H. Kwakernaak, {it Fuzzy random variables I}, Information Sciences, {bf ...
  • bibitem{mo}M. Modarres and S. Sadi-Nezhad, {it Ranking fuzzy numbers bypreference ...
  • bibitem{na}W. Nddot{a}ther, {it Regression with fuzzy data},Computational Statistics and Data ...
  • bibitem{no}M. Nojavan and M. Ghazanfari, {it A fuzzy ranking method ...
  • bibitem{p۱}M. L. Puri and D. A. Ralescu, {it Differential of ...
  • bibitem{p۲}M. L. Puri and D. A. Ralescu, {it Fuzzy random ...
  • bibitem{p۳}M. L. Puri and D. A. Ralescu, {it Convergence theorem ...
  • bibitem{sh}J. Shao, {it Mathematical Statistics}, ۲nd ed., New York: Springer-Verlag, ۲۰۰۳ ...
  • bibitem{s۱۱}B. Sadeghpour Gildeh and D. Gien, {it d_{p,q}-distance andRao-Blackwell theorem ...
  • bibitem{u۱}Y. Uemura, {it A decision rule on fuzzy events}, Japanese ...
  • bibitem{u۲}Y. Uemura, {it A decision rule on fuzzy events under ...
  • bibitem{v۱}R. Viertl, {it Statistical methods for non-precise data}, CRCPress, Boca ...
  • bibitem{v۲}R. Viertl, {it Statistics with one-dimensional fuzzy data}, In C ...
  • Bertoluzzi et al., Editor, Statistical Modeling, Analysis andManagement of Fuzzy ...
  • bibitem{v۳}R. Viertl, {it Statistical inference with non-precise data}, InEncyclopedia of ...
  • bibitem{ac}R. Viertl, {it Univariate statistical analysis with fuzzy data},Computational Statistics ...
  • bibitem{yaa}J. S. Yao and K. Wu, {it Ranking fuzzy numbers ...
  • نمایش کامل مراجع