ON NORMAL CONVERGENCE CRITERIA FOR SUMS OF ROW-WISE INDEPENDENT RANDOM VARIABLES

Authors

  • Mark Inlow

Keywords:

Central limit theorem, innitesimal array, Lindeberg con- dition

Abstract

In this article we present new criteria for the asymptotic normality of sums of row-
wise independent random variables. Besides providing an alternate approach for
demonstrating a sum of independent random variables is asymptotically normal,
our criteria provide new insight into the nature of asymptotic normality and the
Lindeberg condition.

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Issue

Vol. 44 No. 2 (2010)

Section

Articles