Some results on uncorrelated dependent random variables

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
‎In probability and statistics‎‎ the earliest concept related to independence is the uncorrelatedness. ‎It is well known that a pair of independent random variables are uncorrelated‎, ‎but uncorrelated random variables may or may not be independent‎.‎The aim of this paper is to provide some new models for the joint distribution of the uncorrelated random variables that are not independent. ‎The proposed models include a bivariate mixture structure, a transformation method, and copula method. Several examples illustrating the results are included.
Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:11 Issue: 3, Summer and Autumn 2022
Pages:
175 to 189
https://www.magiran.com/p2499687  
سامانه نویسندگان
  • Ali Dowlati
    Corresponding Author (1)
    Associate Professor Statistics, University of Yazd, Yazd, Iran
    Dowlati، Ali
  • Mohammad Amini
    Author (2)
    (1378) دکتری آمار، دانشگاه فردوسی
    Amini، Mohammad
  • Gholam Reza Mohtashami Borzadaran
    Author (3)
    Professor Statistics, Faculty of Mathematical Sciences, Ferdowsi University, Mashhad, Iran
    Mohtashami Borzadaran، Gholam Reza
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