Probabilistic norms and statistical convergence of random variables

Journal Title: Surveys in Mathematics and its Applications - Year 2009, Vol 4, Issue 0

Abstract

The paper extends certain stochastic convergence of sequences of <B>R<SUP>k</SUP></B> -valued random variables (namely, the convergence in probability, in L<SUP>p</SUP> and almost surely) to the context of E-valued random variables.

Authors and Affiliations

Mohamad Rafi Segi Rahmat , Bernardo Lafuerza-Guillén

Keywords

Related Articles

Higher *-derivations between unital C*-algebras

Let A, B be two unital C<SUP>*</SUP>-algebras. We prove that every sequence of mappings from A into B, H = {h<SUB>0</SUB>,h<SUB>1</SUB>, ..., h<SUB>m</SUB>, ...}, which sat...

Fixed points for multivalued contractions on a metric space

The purpose of this paper is to prove a fixed point theorem for multivalued operators and a fixed point theorem for multivalued weakly Picard operators in the terms of τ -distance.

Existence and nonexistence results for second-order Neumann boundary value problem

In this paper some existence and nonexistence results for positive solutions are obtained for second-order boundary value problem <CENTER>-u"+Mu=f(t,u), t∈(0,1) </CENTER>with Neumann boundary conditions <C...

A Functional Calculus for Quotient Bounded Operators

If <I>(X, P)</I> is a sequentially locally convex space, then a quotient bounded operator <I>T</I> beloging to <I>Q<SUB>P</SUB></I> is regular (in the sense of Waelbroeck)...

Shock Waves in Gas Dynamics

Shock wave theory was studied in literature by many authors. This article presents a survey with references about various topics related to shock waves: Hyperbolic conservation laws, Well-posedness theory, Compactness th...

Download PDF file
  • EP ID EP139570
  • DOI -
  • Views 108
  • Downloads 0

How To Cite

Mohamad Rafi Segi Rahmat, Bernardo Lafuerza-Guillén (2009). Probabilistic norms and statistical convergence of random variables. Surveys in Mathematics and its Applications, 4(0), 65-75. https://europub.co.uk/articles/-A-139570