Limit behaviors for ratios of order statistics from exponential distributions

Shoufang Xu and Changlin Mei

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 24, 5918-5928

Abstract: Let {Xni,1≤i≤mn,n≥1} be an array of independent exponentially distributed random variables with mean λn, and {Xn(1)≤Xn(2)≤⋯≤Xn(mn)} be the order statistics of the random variables {Xni,1≤i≤mn}. Limit properties of the ratios {Rnij=Xn(j)/Xn(i),1≤i

Date: 2021
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DOI: 10.1080/03610926.2020.1737877

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