The lower bound estimations of a probability minimization problem
2005
Abstract This article considers the problem of We first concentrate on the case that xi , i = 1, ⋯, n are binary random variable with identical probability distribution and derive a lower bound estimation. And then we observe the case that x is a random normal vector and obtain some lower bound estimations.
Keywords:
- Probability distribution
- Regular conditional probability
- Vysochanskij–Petunin inequality
- Cumulative distribution function
- Algebraic formula for the variance
- Algebra of random variables
- Random variable
- Mathematical optimization
- Joint probability distribution
- Statistics
- Mathematics
- Multivariate random variable
- Combinatorics
- Random element
- Moment-generating function
- Correction
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