强平稳正相协列乘积和的重对数律

THE LAW OF THE ITERATED LOGARITHM FOR PRODUCT SUMS OF STATIONARY PA SEQUENCES

利用化乘积和为部分和的乘积的和的方法,证明了强平稳正相协列的乘积和的重对数律,并将Lehmann.EL,Ann.MathStatist,1966(3):1137-1153的结果视为本文的特况.

By using the method of turning the product sums to the sums, of product of partial sums,it proved the law of the iterated logarithm for product sums of stationary PA sequences with different distributions and extended the corresponding result.