Name: Stein's Example
SKU: 67044467
Price: 142.34 EUR
Availability: InStock
ISBN: 9786130495251

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Publisher

Betascript Publishing

Language

English

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Paperback

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ISBN13

9786130495251

Stein's Example

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Synopsis "Stein's Example"

High Quality Content by WIKIPEDIA articles! Stein's example (or phenomenon or paradox), in decision theory and estimation theory, is the phenomenon that when three or more parameters are estimated simultaneously, their combined estimator is more accurate (has lower expected mean-squared error) than any method that handles the parameters separately. This is surprising since the parameters and the measurements might be totally unrelated. The phenomenon is named after its discoverer, Charles Stein. Thus, each parameter is estimated using a single noisy measurement, and each measurement is equally inaccurate. Under such conditions, it is most intuitive (and most common) to use each measurement as an estimate of its corresponding parameter. This so-called "ordinary" decision rule can be written as

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