Chan-Fu Chen
Abstract
Three basic asymptotic normality conditions for limiting discrete distributions are given in terms of differencing operators. Under these conditions one can establish asymptotic normality by directly dealing with the limiting behaviors of distribution functions themselves without resorting to the central limit theorem.
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Three basic asymptotic normality conditions for limiting discrete distributions are given in terms of differencing operators. Under these conditions one can establish asymptotic normality by directly dealing with the limiting behaviors of distribution functions themselves without resorting to the central limit theorem.
Key concepts: Asymptotic distribution, Normality, Limiting, Local asymptotic normality, Limit (mathematics), Mathematics, Central limit theorem, Applied mathematics