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Series Statistics Volume 8, 1977 - Issue 4
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Original Articles

Charakterisierungen der exponential-und der geometrischen verteilung

Hermann Debes Sektion Mathematik, Freidrich-Schiller-Unviersität Jena, Jena, DDR-69, UHH
Pages 515-522 | Received 01 Oct 1975, Published online: 27 Jun 2007

References

  • Basu , A.P. 1965 . On characterizing the exponential distribution by order statistics . Ann. Inst. Statist. Math , 17 : 93 – 96 .
  • Ferguson , Th.S . 1964 . A characterization of the exponential distribution . Ann.Math. Statist , 35 : 1199 – 1207 .
  • Ferguson , Th.S . 1965 . A characterization of the geometric distribution . Amer.Math. Monthly , 72 : 256 – 260 .
  • Harris , Th.E . 1971 . Random measures and motions of point processes . Z. Wahr-scheinlichkeitsth. Verw. Geb , 18 : 85 – 115 .
  • Puri , P.S. and Rubin , H. 1970 . A characterization based on the absolute difference of two i.i.d. random variables . Ann. Math. Statist , 41 : 2113 – 2122 .
  • Rosseberg , H.J. 1960 . Über die Verteilungsfunktionen der Differenzen und Quotienten von Ranggrößen . Math. Nachrichten , 21 : 37 – 79 .
  • Rossberg , H.J. 1972 . Characterization of the Exponential and the Pareto Distributions by means of some properties of the Distributions which the differences and quotients of order statistics are subject to . Math. Operationsfcrsch. Statist , 3 : 207 – 216 .
  • Tanis , E.A. 1964 . Linear forms in the order statistics from an exponential distribution . Ann. Math. Statist , 35 : 270 – 276 .

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