Meaning Of Efficient Estimator

Generally the efficiency of the estimator depends on the distribution of the.

Meaning of efficient estimator. The sample 10 percent trimmed mean is clearly the most efficient estimator with an rmse that is more than 15 percent below that of the sample mean with a 30 percent lower variance. Your options for finding x are limitless. Sergios theodoridis in machine learning 2015.

An efficient estimator is the best possible or optimal estimator of a parameter of interest. 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. An asymptotically efficient estimator has not been uniquely defined.

An estimator is a statistic that estimates some fact about the population. A concept which extends the idea of an efficient estimator to the case of large samples cf. For example the x the sample mean is an estimator for the population mean μ.

It may exist but it will not be an efficient one in the sense that it does not satisfy the cramér rao bound. Owing to the fact that in many cases the lower bound in the rao cramér inequality cannot be attained. The definition of best possible depends on one s choice of a loss function which quantifies the relative degree of undesirability of estimation errors of different magnitudes.

Consistent estimator unbiasedness of an estimator leave a reply cancel reply. 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.

An efficient estimator is a sufficient statistic for the parameter to be estimated. Measuring short run inflation for central bankers. 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.