Convergence in density of a sequence
= Convergence in density of a sequence
A sequence $a_n$ converges in density to $a$ when, for every $\varepsilon>0$,
$$
\frac1N\left|\{1\leq n\leq N:|a_n-a|\geq\varepsilon\}\right|\longrightarrow0.
$$
= Convergence in density of a sequence
A sequence $a_n$ converges in density to $a$ when, for every $\varepsilon>0$,
$$
\frac1N\left|\{1\leq n\leq N:|a_n-a|\geq\varepsilon\}\right|\longrightarrow0.
$$