On the correlation coefficient between the first and the r-th smallest order statistics based on n independent exponential random variables

DOI10.1080/03610928808829804zbMath0696.62222OpenAlexW1963774500MaRDI QIDQ3473217

Y. S. Sathe

Publication date: 1988

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928808829804

zbMATH Keywords

correlationorder statisticsexponential distributionconvex function

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)

Related Items (4)

Stochastic comparisons of order statistics and spacings: a review ⋮ On the Lorenz ordering of order statistics from exponential populations and some applications ⋮ On the dependence between the extreme order statistics in the proportional hazards model ⋮ A note on the mean of the order statistics based on independent exponential random variables

Cites Work

• The correlation coefficient between the smallest and largest observations when (N-1) of the n observations are iid exponentially distributed

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