术语“最佳估计量”的详细信息

英译术语:

best estimator

汉语语境:

最佳估计量用来估计总体未知参数用的统计量。当经测定的具体数值代入估计量时，它就是一个具体的数值，称为估计值，英文是estimate。设（X1，……，Xn)为来自总体X的样本，（x1，…xn）为相应的样本值，θ是总体分布的未知参数，θ∈Θ，Θ表示θ的取值范围，称Θ为参数空间。尽管θ是未知的，但它的参数空间Θ是事先知道的。为了估计未知参数θ，我们构造一个统计量h（X1，……，Xn)，然后用h（X1，……，Xn)的值h（x1，…xn）来估计θ的真值，称h（X1，……，Xn）。

英语语境:

Best estimator is used to estimate the total unknown parameters. When the specific value is determined by the substitution estimates, it is a specific value, called the estimated value, English equivalent is estimate. Let (X1, ...... (Xn) a sample of the overall X (x1, ... Xn) for the corresponding sample values, there is the unknown parameter distribution, called the theta parameter space. Although the theta is unknown, its parameter space theta is known in advance. In order to estimate the unknown parameter, we construct a statistic H (x1, ..., Xn) and then H (X1, ...... (Xn) the value of H (x1, ... Xn) to estimate the true value of theta, called H (X1, ...... Xn).