Transcription of Univariate Distribution Relationships
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Univariate Distribution RelationshipsLawrence M. LEEMISand Jacquelyn T. MCQUESTONP robability distributions are traditionally treated separately inintroductory mathematical statistics textbooks. A figure is pre-sented here that shows properties that individual distributionspossess and many of the Relationships between these WORDS: Asymptotic Relationships ; Distribution proper-ties; Limiting distributions; Stochastic parameters; INTRODUCTIONI ntroductory probability and statistics textbooks typically in-troduce common Univariate distributions individually, and sel-dom report all of the Relationships between these article contains an update of a figure presented by Leemis(1986) that shows the properties of and Relationships betweenseveral common Univariate distributions. More detail concern-ing these distributions is given by Johnson, Kotz, and Balakrish-nan (1994, 1995) and Johnson, Kemp, and Kotz (2005).
College of William & Mary, Williamsburg, VA 23187–8795 (E-mail: leemis@math.wm.edu). Jacquelyn T. McQueston is an Operations Researcher, Northrop Grumman Corporation, Chantilly, VA 20151. The authors are grate-ful for the support from The College of …
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