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If the fourth moment mu_4!=0, then P(|x^_-mu_4|>=lambda)<=(mu_4+3(N-1)sigma^4)/(N^3lambda^4), where sigma^2 is the variance.

The study of sampling

The measurable space (S^',S^') into which a random variable from a probability space is a measurable function.

(Deltau)_i^2=(u_i-u^_)^2, where u^_ is the average of {u_i}.

If the Lexis ratio L<1, a set of trials are said to be subnormal.

Possessing a three equivalent modes.

A statistical distribution such as the normal distribution which has a single "peak."

If s_x is the standard deviation of a set of samples x_i and x^_ their mean, then the variation coefficient is defined as V=(s_x)/(x^_).

The z-score associated with the ith observation of a random variable x is given by z_i=(x_i-x^_)/sigma, where x^_ is the mean and sigma the standard deviation of all ...

To predict the result of a measurement requires (1) a model of the system under investigation, and (2) a physical theory linking the parameters of the model to the parameters ...