A central limit theorem with random indices for stationary linear processes
A central limit theorem with random indices is obtained for stationary linear process Xt - [mu] [Sigma][infinity]j = -[infinity]aj[epsilon]t - j, where {\Get} is an i.i.d. collection of random variables with E[sigma]t = 0, E[epsilon]2t = [sigma]2 < [infinity], and [Sigma][infinity]j = -[infinity]aj < [infinity].