Obtain the score test statistic for the Laplace distribution in and show that its null distribution (i.e., under H 0 : θ = 0) can be obtained from the binomial distribution. In let   be the...

Obtain the score test statistic for the Laplace distribution in and show that its null distribution (i.e., under H₀: θ = 0) can be obtained from the binomial distribution.

In let
  be the two-sample, Wilcoxon–Mann– Whitney rank sum test statistic. Show that it is invariant under monotone transformation on the observations.