Dispersive ordering of convolutions of exponential random variables

Statistics and Probability Letters

Volumn 43, Issue 3, 1999, Pages 321-324

  Kochar, Subhash ^a   Ma, Chunsheng ^b  

^a INDIAN STATISTICAL INSTITUTE   (India)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

60E15; 62D05; 62G30; 62N05; Convolution; Dispersive ordering; Likelihood ratio ordering; Majorization

Indexed keywords

EID: 0000561131     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(98)00279-X     Document Type: Article

References (6)

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2. Kochar, S.C., 1989. On extensions of DMRL and related partial orderings of life distributions. Comm. Statist. Stochastic Models 5, 235-246.
3. Kochar S.C., Korwar R. Stochastic orders for spacings of heterogeneous exponential random variables. J. Multivariate Anal. 57:1996;69-73.
4. Lewis T., Thompson J.W. Dispersive distributions and the connections between dispersivity and strong unimodality. J. Appl. Probab. 18:1981;76-90.
5. Marshall, A.W., Olkin, I., 1979. Inequalities: Theory of Majorization and its Applications. Academic Press, New York.
6. Shaked, M., Shanthikumar, J.G., 1994. Stochastic Orders and their Applications. Academic Press, San Diego, CA.