If the independent r.v.s Xj, j ‰¥ 1, are distributed as U (-j, j), then show that the Lindeberg condition (see relation (12.24)) holds, so that

Where

Recall that X ~ U(α, β) means that the r.v. X has the uniform distribution with parameters α and β (α < β), its probability density function is p(x) =

Finally, recall that

n(n + l)(2n + l)/6.

N (0, 1), L() = Sn'n00