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Limit Theory of Bivariate Generalized Order Statistics with Random Sample Size

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The class of limit distribution functions (df’s) of the random bivariate extreme, central and intermediate generalized order statistics (gos) from independent and identically distributed random variables (rv’s) is fully characterized.… Click to show full abstract

The class of limit distribution functions (df’s) of the random bivariate extreme, central and intermediate generalized order statistics (gos) from independent and identically distributed random variables (rv’s) is fully characterized. The cases, when the random sample size is independent of the basic variables and when the interrelation between the random sample size and the basic variables is not restricted, are considered.

Keywords: generalized order; sample size; random sample; order statistics

Journal Title: Mathematical Methods of Statistics
Year Published: 2018

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