Given an IID sample from a positive distribution, we provide a method for constructing rigorous finite sample lower confidence bounds for the expectation of the distribution. The method is based on constructing rigorous confidence regions for the cdf of the distribution. We provide some analysis of ...
We obtain compact, easily-computable exact formulas for several source and channel coding problems that involve expectations and higher moments of the logarithm of a positive random variable and the moment of order ρ>0 of a non-... N Merhav,I Sason - IEEE International Symposium on Information...
Further remarks on the expectation of the reciprocal of a positive random variable - Sclove, Simons, et al. - 1967 () Citation Context ... exist) is: (1.1) E [1/X] ≥ 1/E [X] where X is a non-negative random variable. This may be proven using convexity (as an application of...
上面我们讲的都是有限个离散分布的情况,当X是无限的时候其实也可以求期望,也就是求所有可能的值的加权平均数 Definition Mean of General Discrete Random Variable. Let X be a discrete random variable whose p.f. is f.Suppose that at least one of the following sums is finite: ∑Positivexxf(x),∑N...
An inequality for expectation of means of positive random variables Suppose that $X,Y$ are positive random variable and $m$ a numerical(commutative) mean. We prove that the inequality ${m E} (m(X,Y)) \\leq m({mE} (X), {m E}......
Let us first note that all the terms in Equation 5.10 are positive (since variance is always positive). Thus, we conclude Var(X)≥E(Var(X|Y))(5.11)Var(X)≥E(Var(X|Y))(5.11)This states that when we condition on YY, the variance of XX reduces on average. To describe this ...
声音简介 The expected value of a random variable is to be interpreted as the average that you expect to see in a large number of independent repetitions of the experiment. The expected value of g of X, is the same as g of the expected value of X. ...
aa gentleman trusts in justice,while the peasant trusts in favor 绅士在正义信任,而农民信任作为厚待[translate] a理解随机变量的数学期望与方差的定义和性质 Understands the random variable the mathematic expectation and the variance definition and the nature[translate]...
(FDR corrected, see38,54,55). In line with previous research studies applying these methods38,39,56we extracted three metrics: sustainability of decoding—defined as the percentage of significant decoding in a given time-window, peak decoding—defined as the maximal positive peak in a given ...
However, it is likely that both the introduction of a positive charge on the target base by DMS, or of a bulky adduct on the ribose moiety by SHAPE, might affect the local structural context, hence altering the modification probability of surrounding bases. Third, the maximum number o...