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On the correlation coefficient between the first and the r-th smallest order statistics based on n independent exponential random variables
Authors:Y.S. Sathe
Affiliation:Department of Statistics , university or Bombay , Bombay, 400090, India
Abstract:It is proved that the correlation coefficient between the first and the r-th smallest order statistics based on n independent, exponentially distributed random variables is less than or equal to the corresponding correlation coefficient when the n indpendent random variables are identically and exponentially distributed with expectation equal to unity
Keywords:Order statistics  exponemtial distribution  correlation  convex function
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