Titlebook: Asymptotics in Statistics; Some Basic Concepts Lucien Cam,Grace Yang Book 19901st edition Springer-Verlag New York Inc. 1990 DEX.LAN.Statis

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,The Compressible Navier–Stokes System, probability measures . on some space .. Then one considers experiments . where . is the joint distribution of . observations ., .,..., . all independent with individual distribution .. One studies the asymptotic behavior of the system as . tends to infinity. We shall refer to this as the “standard

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https://doi.org/10.1007/978-3-642-16830-7e measure μ and minimizing the average risk .. (See Chapter 2 for notation). The procedure ρ that achieves this minimum will of course depend on the choice of μ. However the literature contains numerous statements to the effect that, for large samples, the choice of μ matters little. This cannot be

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Fourier Analysis and Its Applicationsior of likelihood ratios of the type . where 0 and 1 are names for possible values of the parameter . Є Θ. (Most of the arguments will be carried out for the case of binary experiments . but more general situations will also be mentioned.

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https://doi.org/10.1007/978-3-642-16830-7generally true, but we start with a proposition to this effect. If instead of μ one uses A dominated by μ and if the density . can be closely estimated, then a procedure that is nearly Bayes for μ is also nearly Bayes for λ.

Pedagogy

Limit Laws for Likelihood Ratios Obtained from Independent Observations,ior of likelihood ratios of the type . where 0 and 1 are names for possible values of the parameter . Є Θ. (Most of the arguments will be carried out for the case of binary experiments . but more general situations will also be mentioned.