Wald's equation
An integer valued random variable (r.v) is said to be a stopping time for a sequence if the
event is independent of , ,… for all . Thus one would observe in a sequential order where (remember it is a random variable (r.v)) denotes the number observed before one stops. Thus if , then we have observed and not observed
Let us illustrate this concept of stopping time with an example.
Example 4.5
Consider , be independent such that , .Assume that we have , then this is a stopping time. Example can be when we keeping flipping an unbiased coin and stop the experiment the moment the number of tails is 7.
|