In probability theory and statistics, variance is the expected value of the squared deviation from the mean of a random variable. The standard deviation...

{\displaystyle r_{xy}} by substituting estimates of the covariances and variances based on a sample into the formula above. Given paired data { ( x 1 ,...

bound on the probability of deviation of a random variable (with finite variance) from its mean. More specifically, the probability that a random variable...

variance of this function. Matheron did indeed derive length-weighted average grades of core samples and ore blocks but did not derive the variance of...

balanced repeated replication (BRR), used by statisticians to estimate the variance of a parameter estimator. Let H be a Hadamard matrix of order n. The transpose...

} These are Hermite polynomial sequences of different variances; see the material on variances below. The notation He and H is that used in the standard...

many independent and identically distributed random variables with finite variance tends towards a normal distribution irrespective of the distribution followed...

of y = 3x2 − 5 Calculate average: mean([3, 4, 2]) is 3 Calculate variance: variance([3, 4, 2]) is 2/3 Calculate standard deviation: stddev([3, 4, 2])...

Expected values can also be used to compute the variance, by means of the computational formula for the variance Var ⁡ ( X ) = E ⁡ [ X 2 ] − ( E ⁡ [ X ] ) 2...

be sharply localized at the same time. A similar tradeoff between the variances of Fourier conjugates arises in all systems underlain by Fourier analysis...