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DISPERSION-TYPE VARIABILITY ORDERS

Published online by Cambridge University Press:  06 June 2003

Félix Belzunce ,
Taizhong Hu  and
Baha-Eldin Khaledi
Félix Belzunce
Affiliation:
Deparamento de Estadística e Investigación Operativa, Universidad de Murcia, 30100 Espinardo (Murcia), Spain, E-mail: belzunce@um.es
Taizhong Hu
Affiliation:
Department of Statistics and Finance, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China, E-mail: thu@ustc.edu.cn
Baha-Eldin Khaledi
Affiliation:
Department of Statistics, College of Sciences, Razi University, Kermanshah, Iran, E-mail: bkhaledi@hotmail.com
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Abstract

Dispersion-type orders are introduced and studied. The new orders can be used to compare the variability of the underlying random variables, among which are the usual dispersive order and the right spread order. Connections among the new orders and other common stochastic orders are examined and investigated. Some closure properties of the new orders under the operation of order statistics, transformations, and mixtures are derived. Finally, several applications of the new orders are given.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 17 , Issue 3 , July 2003 , pp. 305 - 334
Copyright
© 2003 Cambridge University Press

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