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Journal article
On an elementary ratio technique for proving convergence of known distributions
Communications in statistics. Theory and methods, Vol.49(22), pp.5535-5552
11/16/2020
Web of Science ID: WOS:000474274500001
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 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.
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Details
- Title
- On an elementary ratio technique for proving convergence of known distributions
- Publication Details
- Communications in statistics. Theory and methods, Vol.49(22), pp.5535-5552
- Resource Type
- Journal article
- Publisher
- Taylor & Francis
- Number of pages
- 18
- Copyright
- © 2020 Taylor & Francis
- Identifiers
- WOS:000474274500001; 99381379054506600
- Academic Unit
- Mathematics and Statistics; Hal Marcus College of Science and Engineering
- Language
- English