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Show that the following functions generate a measure on R4, that is that AAF > 0 for all bounded rectangles A CR?: F(x,y) = min{x,y};

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Show that the following functions generate a measure on R4, that is that AAF > 0 for all bounded rectangles A CR?: F(x,y) = min{x,y}; F(x,y) = F1(x)F2(y), where F1, F2 are nondecreasing, right-continuous functions. Show that the following functions generate a measure on R4, that is that AAF > 0 for all bounded rectangles A CR?: F(x,y) = min{x,y}; F(x,y) = F1(x)F2(y), where F1, F2 are nondecreasing, right-continuous functions

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