Often neither the exact density nor the exact cumulative distribution function (c.d.f.) of a statistic of interest is available in the statistics and econometrics literature (e.g., the maximum ...

This is a preview. Log in through your library . Abstract A method used by Kac in the study of Wiener functionals is adapted to the problem of calculating in closed form the joint moment generating ...

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...