【摘要】 本文讨论了Ｂ值独立同分布（ｉｉｄ）随机元重对数律收敛速度的一般形式，使得Ｄａｖｉｓ［１］及 Ｇｕｔ［２，３］中的一些结果成为特款，同时减弱了 Ｄａｖｉｓ结果中的矩条件，并且得到了Ｂ值ｉｉｄ随机元满足有界重对数律的一个充分性条件．作为应用，我们给出了随机足标和的相应结果．更多还原

【Abstract】 We discuss general forms on convergence rates for the law of the iterated logarithm of lid B-valued random elements. Some results of Davis[1] and Gut[2,3] are become into particular case of our results, and the moment condition in Davis’s result is weakened. We also obtain a sufficient conditions on the bounded law of the iterated logarithm of iid Bvalued random elements. As application, we give the corresponding results for the randomly indexed partial sums.更多还原