content_image/297878.jpg content_image/297879.jpg content_image/297876.jpg content_image/297875.jpg
As a result, 

Moreover, we have 

<img src='content_image/297878.jpg'>

<img src='content_image/297879.jpg'>

It follows that 

<img src='content_image/297876.jpg'>

Due to Lemma S1.2 E( ˜ M$_{n}$ ( x )) = 0 and 

<img src='content_image/297875.jpg'>

Hence, ˜ M$_{n}$ ( x ) converges to 0 in probability. This implies fidi-convergence of ˜ M$_{n}$ as a process with values in D [0 , 1]. 

