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Statistica Sinica
On Estimation of the Logarithm of the Mean Squared Prediction Error of A Mixed-effect Predictor
2022
The mean squared prediction error (MSPE) has been used as an important measure of uncertainty in small area estimation.It is desirable to produce a second-order unbiased MSPE estimator, that is, the bias of the estimator is o(m -1 ), where m is the total numb…
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Estimation

Process of finding an approximation

Estimation (or estimating ) is the process of finding an estimate or approximation, which is a value that is usable for some purpose even if input data may be incomplete, uncertain, or unstable. The value is nonetheless usable because it is derived from the best information available. Typically, estimation involves "using the value of a statistic derived from a sample to estimate the value of a corresponding population parameter". The sample provides information that can be projected, through various formal or informal processes, to determine a range most likely to describe the missing information.

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Statistica Sinica
On Estimation of the Logarithm of the Mean Squared Prediction Error of A Mixed-effect Predictor
2022
The mean squared prediction error (MSPE) has been used as an important measure of uncertainty in small area estimation.It is desirable to produce a second-order unbiased MSPE estimator, that is, the bias of the estimator is o(m -1 ), where m is the total number of small areas for which data are available.The task is difficult, however, especially if one needs to take into consideration that an MSPE estimator needs to be positive, or at least nonnegative.In fact, very few MSPE estimators have the property of being …
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