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Communications in Statistics - Simulation and Computation Volume 21, 1992 - Issue 2
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Original Articles

An algorithm to test divisibility of continuous distributions, applied to the uniform distribution

S.K. Katti Department of Statistics, UMC, Columbia MO, 6521l Phone: (314)882 6667 Fax: (314)882 6667 E-mail: STATSKK@UMCVMB
&
Ferrin Hamson Department of Statistics, UMC, Columbia MO, 6521l Phone: (314)882 6667 Fax: (314)882 6667 E-mail: STATSKK@UMCVMB
Pages 587-596 | Received 01 Feb 1990, Published online: 27 Jun 2007

References

  • Bondesson , L. 1987 . On the Infinite Divisibility of the Half Cauchy and other Decreasing Densities and Probability Functions on the NonNegative Line , 225 – 247 . Scandinavian Actuarial J .
  • Danial , Edward J. 1989 . Characterizations of the special Discrete Distributions through infinite, non-finite and finite divisibility , Vol. 8 , 1 – 7 . Statistics and Probability Letters .
  • Douglas , J.B. 1980 . Analysis with Standard Contagious Distributions , Burtonsville, , USA : International Co-operative Publishing House . P.O. Box 245, 20730 ISBN:0-89974-011-1
  • Katti , S.K. 1967 . Infinite Divisibility of Integer Valued random variables , Vol. 28 , 1306 – 1308 . Annals of Mathematical Statistics .
  • Samuel , Kotz and Johnson , Norman L. 1985 . Encyclopedia of Statistical Sciences , Vol. 5 , John Wiley and Sons . ISBN:0-471-05552-0-2
  • Lewis , T. 1967 . The Factorization of the Rectangular Distribution , Vol. 4 , 529 – 542 . Journal of Applied Probability .
  • Steutel , F.W. 1970 . Preservation of Infinite Divisibility under Mixing and related Topics , Amsterdam : Mathematics Centrum .
  • Warde , W.D. and Katti , S.K. 1971 . Infinite Divisibility of Integer Valued random variables , Vol. 42 , 1088 – 1090 . Annals of Mathematical Statistics .

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