m*********a
发帖数: 2000 | 1 有n个bernoulli (0,1) 随机变量x_1,x_2,...,x_n
条件概率总是小于a
P[x_i==1 |x_1, ...,x_(i-1)] <= a. 这里a<1/4
given an integer m,
Can we show that
P(x_1+...+x_n >= m ) is always smaller than P(x'_1+x'_2+...+x'_n >=m )?
这里x'是独立的Bernoulli ranodm variables taking value '1' with probability a.
If true, how can we prove this? |
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