publication . Article . 2008

Strong Statistical Convergence in Probabilistic Metric Spaces

Celaleddin Şençimen; Serpil Pehlivan;
Open Access
  • Published: 30 Apr 2008 Journal: Stochastic Analysis and Applications, volume 26, pages 651-664 (issn: 0736-2994, eissn: 1532-9356, Copyright policy)
  • Publisher: Informa UK Limited
  • Country: Turkey
Abstract
In this article, we introduce the concepts of strongly statistically convergent sequence and strong statistically Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong statistical limit points and the strong statistical cluster points of a sequence in this space and investigate the relations between these concepts.
Subjects
free text keywords: Statistics, Probability and Uncertainty, Statistics and Probability, Applied Mathematics, Probabilistic metric space; Strong statistical cluster point; Strong statistical convergence; Strong statistical limit point; Strong statistically Cauchy sequence; Strong topology., Limit point, Mathematics, Metric space, Strong topology (polar topology), Limit of a sequence, Topology, Probabilistic logic, Stochastic process, Probabilistic metric space, Cauchy sequence
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