Posted by Pete Moss on June 27, 1997 at 01:06:12: In Reply to: Re: The Law of Large Numbers posted by Bisser on June 26, 1997 at 14:26:27:Weak Law of Large Numbers:
If x1,x2,... are independent, identically distributed random quantities, with expected value E[xi] = u, then the mean of the first N quantities converges in probability to u, as N grows without bound.Strong Law of Large Numbers:
Under the same hypothesis, the mean of the first N quantities converges almost surely to u, as N grows without bound.Pete