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  • Research Article
  • Open Access

Hajek-Renyi-type inequality for some nonmonotonic functions of associated random variables

Journal of Inequalities and Applications20062006:58317

  • Received: 21 April 2005
  • Accepted: 11 December 2005
  • Published:


Let be a sequence of nonmonotonic functions of associated random variables. We derive a Newman and Wright (1981) type of inequality for the maximum of partial sums of the sequence and a Hajek-Renyi-type inequality for nonmonotonic functions of associated random variables under some conditions. As an application, a strong law of large numbers is obtained for nonmonotonic functions of associated random varaibles.


  • Nonmonotonic Function


Authors’ Affiliations

Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, New Delhi, 110016, India
Department of Mathematics and Statistics, University of Hyderabad, Hyderabad, 500046, India


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© I. Dewan and B. L. S. P. Rao 2006

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