Let F be the collection of all distributions on R and z be a fixed real...

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Let F be the collection of all distributions on R and z be a fixed real number. Define T(G) = | G(z - y)dG(y), GE F. Obtain the influence function or for T and show that or is continuous if and only if F is continuous. Let F be the collection of all distributions on R and z be a fixed real number. Define T(G) = | G(z - y)dG(y), GE F. Obtain the influence function or for T and show that or is continuous if and only if F is continuous.