Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843 - 7265 (print)
 Volume 4 (2009), 65 -- 75

PROBABILISTIC NORMS AND STATISTICAL CONVERGENCE OF RANDOM VARIABLES

Mohamad Rafi Segi Rahmat and Bernardo Lafuerza-Guillén

Abstract. The paper extends certain stochastic convergence of sequences of Rk -valued random variables (namely, the convergence in probability, in Lp and almost surely) to the context of E-valued random variables.

2000 Mathematics Subject Classification: 40A05; 46S50; 54E70.
Keywords: probabilistic norm; random norm; statistical convergence; almost sure convergence.

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Mohamad Rafi Segi Rahmat Bernardo Lafuerza-Guillén
School of Applied Mathematics, Departamento de Estadística
The University of Nottingham Malaysia Campus, y Mathemática Aplicada,
Jalan Broga, 43500 Semenyih, Selangor Darul Ehsan, Universidad de Almería,
Malaysia. 04120-Almería, Spain.
e-mail: Mohd.Rafi@nottingham.edu.my e-mail: blafuerz@ual.es

http://www.utgjiu.ro/math/sma