Convergence of Known Distributions to Limiting Normal or Non-normal Distributions: An Elementary Ratio Technique.

This article presents an elementary informal technique for deriving the convergence of known distributions to limiting normal or non-normal distributions. The presentation should be of interest to teachers and students of first year graduate level courses in probability and statistics.

Detalles Bibliográficos
Publicado en:American Statistician Vol. 71; no. 3; pp. 265 - 272
Autores principales: Bagui, Subhash, Mehra, K. L.
Formato: Artículo
Publicado: Taylor & Francis Ltd Aug2017
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        10.1080/00031305.2017.1322001
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        atl: Convergence of Known Distributions to Limiting Normal or Non-normal Distributions: An Elementary Ratio Technique.
      aug:
        au:
          Bagui, Subhash
          Mehra, K. L.
        affil:
          Department of Mathematics and Statistics, The University of West Florida, Pensacola, FL
          Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada
      su:
        Approximation algorithms
        Distribution (Probability theory)
        Estimation theory
        Ratio & proportion
        Mathematical analysis
        Numerical analysis
        Probability theory
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        subj:
          Approximation algorithms
          Distribution (Probability theory)
          Estimation theory
          Ratio & proportion
          Mathematical analysis
          Numerical analysis
          Probability theory
      keyword:
        Arc-Sine distribution
        First passage
        Gamma distribution
        Levy's distribution
        Negative-Binomial distribution
        Random walk
        Ratio technique
        Arc-Sine distribution
        First passage
        Gamma distribution
        Levy's distribution
        Negative-Binomial distribution
        Random walk
        Ratio technique
      ab: This article presents an elementary informal technique for deriving the convergence of known distributions to limiting normal or non-normal distributions. The presentation should be of interest to teachers and students of first year graduate level courses in probability and statistics.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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