Dear R-"helpers"! May I kindly ask the pure statistics-experts to help me for a purpose which first part is not directly concerned with R. Consider two distribution functions, say f and g. For both, the median is smaller than a half. Now, the multiplicative or additive linkage of both distribution leads to a new distribution function, say h, whereas the median of h is greater than a half. Does anybody know under which circumstances such a construction of h is possible (my intuition is that it depends on the correlation of f and g) or can anybody advice a helpful literature. Furthermore, does anybody know whether or how such a construction can be done with R. Thanks in advance.
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