Exercise 16 (#5.29). Let F be the collection of all distributions on R and z be a fixed real number. Define T(G) = | G(2 – y)dG(y), GE F. Obtain the influence function op for T and show that or is continuous if and only if F is continuous.

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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Exercise 16 (#5.29). Let F be the collection of all distributions on R
and z be a fixed real number. Define
T(G) = | G(2 – y)dG(3),
GE F.
Obtain the influence function øf for T and show that or is continuous if
and only if F is continuous.
Transcribed Image Text:Exercise 16 (#5.29). Let F be the collection of all distributions on R and z be a fixed real number. Define T(G) = | G(2 – y)dG(3), GE F. Obtain the influence function øf for T and show that or is continuous if and only if F is continuous.
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