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

A. Zempléni
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A. Zempléni: Loránd Eötvös University, Department of Probability Theory

A chapter in Mathematical Statistics and Probability Theory, 1987, pp 291-303 from Springer

Abstract: 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.

Keywords: Effective Divisor; Monotone Sequence; Multiplicative Structure; Inequality Observe; Irreducible Divisor (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3963-9_22

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DOI: 10.1007/978-94-009-3963-9_22

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