On the asymptotic behaviour of the joint distribution of the maxima and minima of observations, when the sample size is a random variable

R. Vasudeva ()
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R. Vasudeva: University of Mysore

Metrika: International Journal for Theoretical and Applied Statistics, 2024, vol. 87, issue 5, No 5, 584 pages

Abstract: Abstract In this paper, we obtain the asymptotic form of the joint distribution of maxima and minima of independent observations, when the sample size is a random variable. We also discuss the asymptotic distribution of the range.

Keywords: Joint distribution of maxima and minima; Distribution of the range; Random sample size; Asymptotic independence; Primary; 60F05 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00184-023-00928-y

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