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- W1969073575 abstract "Let X 1 , ... , X n be independent identically distributed random variables with distribution F . We derive expressions for generalized joint ‘densities’ of order statistics of X 1 , ... , X n , for arbitrary distributions F , in terms of Radon–Nikodym derivatives with respect to product measures based on F . We then give formulae for conditional distributions of order statistics and use them to derive results concerning Markov properties of order statistics, formulae for distributions of trimmed sums, and other useful representations. Our approach leads to simple and natural expressions which appear not to have been given before." @default.
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- W1969073575 date "1999-07-01" @default.
- W1969073575 modified "2023-10-16" @default.
- W1969073575 title "Generalized densities of order statistics" @default.
- W1969073575 doi "https://doi.org/10.1111/1467-9574.00107" @default.
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