Open AccessSλ-convergence of a sequence of random variables
Author(s) -
Sanjoy Ghosal
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.03.007
Subject(s) - mathematics , convergence (economics) , sequence (biology) , random variable , convergence tests , convergence of random variables , statistical analysis , proofs of convergence of random variables , normal convergence , statistics , rate of convergence , computer science , algebra of random variables , genetics , economics , biology , economic growth , computer network , channel (broadcasting)
In this paper we continue our investigation of recent notions of λ-statistical convergence in probability and λ-statistical convergence in mean of order r in Ghosal (2014) [1] and introduce the notion of λ-statistical convergence in distribution. We mainly investigate their interrelationship and study some of their important basic properties