QA168 : The strong law of large numbers for weighted sums of negative associated random variables
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2013
Authors:
Abstarct: One of important theorems in probability theory are limit theorems. Among them large
numbers law specific importance. In this law under certain conditions, mean of random variables convergent to it’s expected value. This law has been introduced in 1713. After years, with
introduction of negatively associated concept for random variables, many scientists studeied
complete convergence for negatively associated random variables. The aim of this thesis is
consideration of limit theorems (Strong law of large nimbers) and convergence rate for weight
sums of negatively associted random variables. According to importance of strong law of large
numbers, we examine complete convergence for weighted sums with considering under different
conditions for negatively assicated random variables.
Keywords:
#Complete convergance #Negatively associated random variables #The strong law of large numbers #Sequence of identically distributed NA random variables #m-Negatively associted random variables.
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: