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Nonparametric Inference Based on Sampled Minima

Author

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  • Ibrahim A. Ahmad

    (Department of Statistics, University of Central Florida)

Abstract

A sampling plan that may find applications in economics, biomedical research, reliability and life testing consists of putting kn units on test in groups of k each and observing the minimum value of each group. Thus, the observations are sampled minima and they are to be used to do inference about the original distribution. In this investigation, we present properties of the empirical distribution and sample moments and show how these estimates can be used to do goodness of fit testing about the underlying distribution.

Suggested Citation

  • Ibrahim A. Ahmad, 2002. "Nonparametric Inference Based on Sampled Minima," Annals of Economics and Finance, Society for AEF, vol. 3(2), pages 453-469, November.
    • Handle: RePEc:cuf:journl:y:2002:v:3:i:2:p:453-469
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    More about this item

    Keywords

    Sampled minima; Empirical distribution; Sample moments; Mean square error; Goodness of fit tests; Asymptotic normality;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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