content_image/307333.jpg content_image/307332.jpg content_image/307331.jpg content_image/307330.jpg
B ( o$_{1}$,o$_{2}$ ) and B$_{0}$ ( o$_{1}$,o$_{2}$ ) for all o$_{1}$,o$_{2}$ such that 

<img src='content_image/307333.jpg'>

where the second equality holds under H$_{0}$ . The boundedness of ˙ f$_{1}$ in [ − 2 , 2], the triangle inequality, and the Cauchy-Schwarz inequality yield 

<img src='content_image/307332.jpg'>

A Taylor expansion of f$_{2}$ ( z ) = (2 z 2 − 1) e − z 2 yields that there exists a ˜ B$_{2}$ that falls between B and B$_{0}$ such that 

<img src='content_image/307331.jpg'>

The first line on the right is equal to F ( P,P$_{0}$,T,U ) under H$_{0}$ . By the triangle inequality and the boundedness of ¨ f$_{2}$ on [ − 2 , 2], the third line satisfies 

<img src='content_image/307330.jpg'>

