Results 41 to 50 of about 258,655 (245)
Frequentist standard errors of Bayes estimators [PDF]
Frequentist standard errors are a measure of uncertainty of an estimator, and the basis for statistical inferences. Frequestist standard errors can also be derived for Bayes estimators. However, except in special cases, the computation of the standard error of Bayesian estimators requires bootstrapping, which in combination with Markov chain Monte ...
DongHyuk Lee +2 more
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ABSTRACT Objective Progression independent of relapse activity is a major determinant of long‐term disability in multiple sclerosis, but its immunopathologic basis remains incompletely understood. We investigated whether relapse‐independent progression in radiologically stable relapsing–remitting multiple sclerosis is associated with distinct ...
Antonio Bruno +19 more
wiley +1 more source
An empirical Bayes estimation problem [PDF]
Let x be a random variable such that, given θ, x is Poisson with mean θ, while θ has an unknown prior distribution G . In many statistical problems one wants to estimate as accurately as possible the parameter
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"Minimax Empirical Bayes Ridge-Principal Component Regression Estimators" [PDF]
In this paper, we consider the problem of estimating the regression parameters in a multiple linear regression model with design matrix A when the multicollinearity is present.
Tatsuya Kubokawa, M. S. Srivastava
core
Consistency of the Bayes Estimator of a Regression Curve
Strong consistency of the Bayes estimator of a regression curve for the $L^1$-squared loss function is proved. It is also shown the convergence to 0 of the Bayes risk of this estimator both for the $L^1$ and $L^1$-squared loss functions.
Nogales, Agustin G.
core
ABSTRACT Objective To evaluate the diagnostic accuracy of glial fibrillary acidic protein (GFAP) measured in dried plasma spots versus conventional plasma‐ and serum‐GFAP testing for assessment of disease severity in aquaporin‐4 immunoglobulin G–positive neuromyelitis optica spectrum disorder (AQP4‐IgG+ NMOSD).
Felix Wohlrab +19 more
wiley +1 more source
"Improved Empirical Bayes Ridge Regression Estimators under Multicollinearity" [PDF]
In this paper we consider the problem of estimating the regression parameters in a multiple linear regression model when the multicollinearity is present.Under the assumption of normality, we present three empirical Bayes estimators.
Tatsuya Kubokawa, M. S. Srivastava
core
Objective To evaluate how modifiable psychosocial factors and fatigue relate to physical functioning in patients with systemic lupus erythematosus (SLE). Methods In this cross‐sectional study of two demographically distinct cohorts (Approaches to Positive, Patient‐Centered Experiences of Aging with Lupus [APPEAL] and California Lupus Epidemiology Study
Mrinalini Dey +8 more
wiley +1 more source
Photo‐Switchable Molecular Module Programming PET Biodegradation in Aquatic Environments
We address the plastic durability paradox by integrating an itaconic acid–derived pyrrolidone module into polymer backbones. Sunlight in water triggers Norrish Type I ring‐opening and hydrophilization, enabling rapid biodegradation into nontoxic minerals.
Mohammad Asif Ali +16 more
wiley +1 more source
Deleted Estimates of the Bayes Risk
Consider the usual decision theoretic situation where one observes a random vector $X$ from which an estimate of its classification $\theta \in \{0, 1\}$ is to be made. If one knows the a priori probabilities for $\theta$ and the conditional densities of $X$ given $\theta$ then the smallest probability of error which can be achieved is called the Bayes
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