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The Description of the Class Io in the Multiplicative Structure of Distribution Functions

In: Mathematical Statistics and Probability Theory

Author

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  • A. Zempléni

    (Loránd Eötvös University, Department of Probability Theory)

Abstract

In this paper we discuss the multidimensional multiplicative structure of p. d. f.’s. First we characterize the max-antiirreducible elements in the semigroup of non-negative random variables. In the max-semigroup of arbitrary random variables a sufficient condition is given for a random variable to be antiirreducible. This condition is also necessary for absolutely continuous infinitely divisible p. d. f.’s.

Suggested Citation

  • A. Zempléni, 1987. "The Description of the Class Io in the Multiplicative Structure of Distribution Functions," Springer Books, in: M. L. Puri & P. Révész & W. Wertz (ed.), Mathematical Statistics and Probability Theory, pages 291-303, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3963-9_22
    DOI: 10.1007/978-94-009-3963-9_22
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