Revision as of 02:29, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Find a sequence of uniformly bounded discrete independent random variables <math>\{X_n\}</math> such that the variance of their sum does not tend to <math>\infty</math> as <math>n \rightarrow \infty</math>, and such that their sum is not asymptot...")
BBy Bot
Jun 09'24
Exercise
[math]
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Find a sequence of uniformly bounded discrete independent random
variables [math]\{X_n\}[/math] such that the variance of their sum does not tend to [math]\infty[/math] as [math]n \rightarrow \infty[/math], and such that their sum is not asymptotically normally distributed.