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Empirical Bayes Test for the Parameter of Rayleigh Distribution with error of measurement

Communications in Mathematical Research 2011年第1期27卷 17-23页

作者： HUANG JUAN School of Science Guangdong Ocean University Zhanjiang Guangdong 521088

For the data with error of measurement in historical samples, the empirical Bayes test rule for the parameter of Rayleigh distribution is constructed, and the asymptotically optimal property is obtained. It is shown that the convergence rate of the proposed EB test rule can be arbitrarily close to O（n-1/2） under suitable conditions.

关键词： error of measurement empirical Bayes asymptotic optimality convergence rate

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测量误差(error of measurement)

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中国计量 1999年第2期 55-55页

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Influence of age in estimating maximal oxygen uptake

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Journal of Geriatric Cardiology 2016年第2期13卷 126-131页

作者： Christina G de Souza Silva Barry A Franklin Daniel E Forman Claudio Gil S Araujo Heart Institute Edson Saad and Medical School Federal University of Rio de Janeiro Rio de Janeiro R J Brazil Exercise Medicine Clinic CLINIMEX Rio de Janeiro R J Brazil Preventive Cardiology and Cardiac Rehabilitation William Beaumont Hospital Royal Oak MI United States Section of Geriatric Cardiology University of Pittsburgh Medical Center Geriatrics Research Education and Clinical Center System University of Pittsburgh Pittsburgh PA USA

Objective To assess the influence of age on the error of estimate （EE） of maximal oxygen uptake （VO2max） using sex and population specific-equations in cycle ergometer exercise testing, since estimated VO2 max is associated with a substantial EE, often exceeding 20%, possibly due to intrinsic variability of mechanical efficiency. Methods 1850 adults （68% men）, aged 18 to 91 years, underwent maximal cycle ergometer cardiopulmonary exercise testing. Cardiorespiratory fitness （CRF） was assessed relative to sex and age [younger （18 to 35 years）, middle-aged （36 to 60 years） and older （〉 60 years）]. VO2max [mL.（***）-1] was directly measured by assessment of gas exchange and estimated using sex and population specific-equations. Measured and estimated values of VO2max and related EE were compared among the three age- and sex-specific groups. Results Directly measured VO2max of men and women were 29.5 ± 10.5 mL.（***）-1 and 24.2 ± 9.0 mL.（kg·min） -1 （P 〈 0.01）. EE [mL·（kg·min）-1] and percent errors （%E） for men and women had similar values, 0.5 ± 3.2 and 0.4 ± 2.9 mL·（kg·min）-1, and -0.8 ± 13.1% and -1.7 ± 15.4% （P 〉 0.05）, respectively. EE and %E for each age-group were, respectively, for men： younger = 1.9 ± 4.1 mL·（kg·min）-1 and 3.8 ± 10.5%, middle-aged = 0.6 ± 3.1 mL.（kg·min）-1 and 0.4 ± 10.3%, older = -0.2 ± 2.7 mL·（kg·min） -1 and -4.2 ± 16.6% （P 〈 0.01）; and for women： younger = 1.2 ± 3.1 mL.（***）-1 and 2.7 ±10.0%, middle-aged = 0.7 ± 2.8 mL·（kg·min）-1 and 0.5 ± 11.1%, older = -0.8 ± 2.3 mL-（kg·min）-1 and -9.5 ± 22.4% （P 〈 0.01）. Conclusion VO2max were underestimated in younger age-groups and were overestimated in older age groups. Age significantly influences the magnitude of the EE of VO2max in both men and women and should be considered when CRF is estimated using population specific equations, rather than directly measured.

关键词： Aging Cardiopulmonary exercise testing error of measurement

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