A class of dependent random variables‎, ‎properties and applications

Document Type : Original Paper


Department of Statstics, University of Birjand, Birjand , Iran.


‎In this paper‎, ‎after calling a class of dependent random variables, APND, that contains some big classes of negatively dependent and some classes of positively dependent random variables‎, ‎the relationship of this class of random variables with well known classes of dependent variables are explained and some basic relations‎, ‎contain moment and maximal inequalities are proofed‎. ‎At the end‎, ‎the limiting behavior of an arbitrary array of random variables is studied‎.


Main Subjects

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Volume 11, Issue 4 - Serial Number 4
December 2021
Pages 727-738
  • Receive Date: 24 March 2021
  • Revise Date: 24 December 2021
  • Accept Date: 27 December 2021
  • First Publish Date: 27 December 2021