Meaning Of Efficient Estimator

The most efficient point estimator is the one with the smallest variance of all the unbiased and consistent estimators.

Meaning of efficient estimator. An estimator is a statistic that estimates some fact about the population. An efficient estimator is the best possible or optimal estimator of a parameter of interest. Owing to the fact that in many cases the lower bound in the rao cramér inequality cannot be attained.

Information and translations of efficient estimator in the most comprehensive dictionary definitions resource on the web. An efficient estimator is also the minimum variance unbiased estimator mvue. If an efficient estimator exists then it can be obtained by the maximum likelihood method.

Sergios theodoridis in machine learning 2015. Your options for finding x are limitless. This is because an efficient estimator maintains equality on the cramér rao inequality for all parameter values which means it attains the minimum variance for all parameters the definition of the mvue.

Meaning of efficient estimator. An asymptotically efficient estimator has not been uniquely defined. It may exist but it will not be an efficient one in the sense that it does not satisfy the cramér rao bound.

A concept which extends the idea of an efficient estimator to the case of large samples cf. Generally the efficiency of the estimator depends on the distribution of the. For example the x the sample mean is an estimator for the population mean μ.

You could have a sample of ten fifty of three hundred and one. Therefore the efficiency of the mean against the median is 1 57 or in other words the mean is about 57 more efficient than the median. What is an efficient estimator.