Distributions with complete monotone derivative and geometric infinite divisibility
It is shown that a distribution with complete monotone derivative is geometrically infinitely divisible and that the class of distributions with complete monotone derivative is a proper subclass of the class of geometrically infinitely divisible distributions.
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Veröffentlicht in: | Advances in applied probability 1990-09, Vol.22 (3), p.751-754 |
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container_title | Advances in applied probability |
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creator | Pillai, R. N. Sandhya, E. |
description | It is shown that a distribution with complete monotone derivative is geometrically infinitely divisible and that the class of distributions with complete monotone derivative is a proper subclass of the class of geometrically infinitely divisible distributions. |
doi_str_mv | 10.2307/1427468 |
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N.</au><au>Sandhya, E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Distributions with complete monotone derivative and geometric infinite divisibility</atitle><jtitle>Advances in applied probability</jtitle><addtitle>Advances in Applied Probability</addtitle><date>1990-09-01</date><risdate>1990</risdate><volume>22</volume><issue>3</issue><spage>751</spage><epage>754</epage><pages>751-754</pages><issn>0001-8678</issn><eissn>1475-6064</eissn><coden>AAPBBD</coden><abstract>It is shown that a distribution with complete monotone derivative is geometrically infinitely divisible and that the class of distributions with complete monotone derivative is a proper subclass of the class of geometrically infinitely divisible distributions.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.2307/1427468</doi><tpages>4</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Distribution theory Division Exact sciences and technology Laplace transformation Letters to the Editor Mathematics Probability and statistics Probability distributions Probability theory and stochastic processes Random variables Sciences and techniques of general use |
title | Distributions with complete monotone derivative and geometric infinite divisibility |
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