Conditional Semiamarts and Conditional Amarts

Wiesław Zięba
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Wiesław Zięba: Maria Curie-Sklodowska University, Institute of Mathematics

A chapter in Mathematical Statistics and Probability Theory, 1987, pp 305-315 from Springer

Abstract: Abstract In this note we give definition and basic properties of conditional amarts and conditional semiamarts. The aim of this note is to prove almost surely (a.s.) convergence theorem for conditional amarts. Moreover, in special cases we obtain a characterization of almost sure convergence in terms of weak convergence and the classical amart convergence theorem. The notion of conditional amarts unifies two ways of characterization of almost sure convergence.

Keywords: Probability Measure; Convergence Theorem; Weak Convergence; Vector Lattice; Pointwise Convergence (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_23

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DOI: 10.1007/978-94-009-3963-9_23

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