On The Mean Inactivity Time Ordering With Reliability Applications

  • Authors:
  • M. Kayid;I. A. Ahmad

  • Affiliations:
  • Department of Mathematics, Faculty of Education (Suez), Suez Canal University, Suez, Egypt;Department of Statistics and Actuarial Science, University of Central Florida, Orlando, FL 32816-2370, iahmad@mail.ucf.edu

  • Venue:
  • Probability in the Engineering and Informational Sciences
  • Year:
  • 2004

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Abstract

The purpose of this article is to study several preservation properties of stochastic comparisons based on the mean inactivity time order under the reliability operations of convolution and mixture. Characterizations and relationships with the other well-known orders are given. Some examples of interest in reliability theory are also presented. Finally, testing in the increasing mean inactivity time class is discussed.