Mixtures of exponential distributions and stochastic orders
AbstractMixtures of exponential distributions are treated as the Laplace transforms of mixing distributions. Using results on stochastic orders based on the Laplace transform order relations for the mixtures are derived. Preservation of some stochastic orders under the mixtures is studied.
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Bibliographic InfoArticle provided by Elsevier in its journal Statistics & Probability Letters.
Volume (Year): 57 (2002)
Issue (Month): 1 (March)
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Alzaid, Abdulhamid A. & Proschan, Frank, 1992. "Dispersivity and stochastic majorization," Statistics & Probability Letters, Elsevier, vol. 13(4), pages 275-278, March.
- Bartoszewicz, J., 1987. "A note on dispersive ordering defined by hazard functions," Statistics & Probability Letters, Elsevier, vol. 6(1), pages 13-16, September.
- Paltanea, Eugen, 2011. "Bounds for mixtures of order statistics from exponentials and applications," Journal of Multivariate Analysis, Elsevier, vol. 102(5), pages 896-907, May.
- Bartoszewicz, Jaroslaw & Skolimowska, Magdalena, 2006. "Preservation of classes of life distributions and stochastic orders under weighting," Statistics & Probability Letters, Elsevier, vol. 76(6), pages 587-596, March.
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