,
### According to Elementary mathematics,we can get
### and then Do expectations , utilize **Cauchy-Schwarz** inequality, we can easily get:
,
### thus the upper bound of target function is determined. Besides, this upper bound can be sampled from ### a Bernoulli distribution.
### It has weights assign to :
### and at the same time, we can get similar formula
### according to the above result, we can easily transfer this problem as minimizing
### obviously, the above proble is convex , it's direct to utilize lagrange multiplier to solve.
### and the inner -layer minimization solution is
### the reason why Qi is like above appearance is based on 's non-negative property.
### Thus we can easily get optimized solutions from one step optimazition conditions.
### That's all, Thank you. I really appreciate the help of my greatest company , Prof. Xu.
### It was Pro. Zhao Xu who I put all my heart and passion into the research of Probability Theory and ### Mathematical Statistics.