Find in Library

<p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-972324-i1.gif"/></inline-formula> be a sequence of independent and identically distributed <inline-formula> <graphic file="1029-242X-2010-972324-i2.gif"/></inline-formula>-distributed random variables. Define the uniform empirical process as <inline-formula> <graphic file="1029-242X-2010-972324-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-972324-i4.gif"/></inline-formula>. In this paper, we get the exact convergence rates of weighted infinite series of <inline-formula> <graphic file="1029-242X-2010-972324-i5.gif"/></inline-formula>.</p>