On an elementary ratio technique for proving convergence of known distributions

Subhash C. Bagui and K. L. Mehra

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 22, 5535-5552

Abstract: Proschan offered a simple informal, the so called, ratio technique for deriving the convergence of binomial B(n,p) distribution to a limiting normal as the number n of trials increases to infinity (see also Bagui and Mehra). The technique offers only a heuristic derivation and not a viable proof. The object of the present article is to provide a frame-work so that this heuristic technique gets accepted as a method of proof, under a set of conditions that are readily verifiable.

Date: 2020
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DOI: 10.1080/03610926.2019.1619771

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