在统计学中,estimator跟estimate有什么区别?

来源:百度知道 编辑:UC知道 时间:2024/07/07 10:29:12
书上说,an estimator is rule which before we observe any data, we plan to use to estimate a parameter, it is a random variable. an estimate is the value of an estimator after the data have been observed.虽然大概看得懂英文意思,可是还是感觉不太理解。。。可以举例说明一下吗?

用来推断总体参数的统计量称为估计量(estimator)。
  In statistics, an estimator is a rule for calculating an estimate of a given quantity based on observed data: thus the rule (the estimator), the quantity of interest (the estimand) and its result (the estimate) are distinguished.
  There are point and interval estimators. The point estimators yield single-valued results, although this includes the possibility of single vector-valued results and results that can be expressed as a single function. This is in contrast to an interval estimator, where the result would be a range of plausible values (or vectors or functions).
  Estimation theory is concerned with the properties of estimators; that is, with defining properties that can be used to compare different estimators (different rules for creating estimates) for the same quantity, based on the same data. Such properties can be used to determine the best rules to use under given circumstances. However, in robust statistics, statistical t