“moment(in statistics)”的概念、定义、翻译、参考文献-科学参考

moment(in statistics)

Mathematics

单词	moment(in statistics)
释义	moment(in statistics) Mathematics For a set of observations x₁, x₂,…, x_n, the jth (sample) moment about p is equal to $\frac{\sum {(x_{1} - p)}^{j}}{n} .$ For a random variable X, the jth (population) moment about p is equal to E((X − p)^j) (see expected value). The first moment about 0 is the mean. The second moment about the mean is the variance. The jth moment of X, without further specification, refers to the jth moment about 0. Suppose that a sample is taken from a population with k unknown parameters. In the method of moments, the first k population moments are equated to the first k sample moments to find k equations in k unknowns. These can be solved to find the moment estimates of the parameters.
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