25,887 research outputs found
Mean squared error of empirical predictor
The term ``empirical predictor'' refers to a two-stage predictor of a linear
combination of fixed and random effects. In the first stage, a predictor is
obtained but it involves unknown parameters; thus, in the second stage, the
unknown parameters are replaced by their estimators. In this paper, we consider
mean squared errors (MSE) of empirical predictors under a general setup, where
ML or REML estimators are used for the second stage. We obtain second-order
approximation to the MSE as well as an estimator of the MSE correct to the same
order. The general results are applied to mixed linear models to obtain a
second-order approximation to the MSE of the empirical best linear unbiased
predictor (EBLUP) of a linear mixed effect and an estimator of the MSE of EBLUP
whose bias is correct to second order. The general mixed linear model includes
the mixed ANOVA model and the longitudinal model as special cases
Small area estimation of general parameters with application to poverty indicators: A hierarchical Bayes approach
Poverty maps are used to aid important political decisions such as allocation
of development funds by governments and international organizations. Those
decisions should be based on the most accurate poverty figures. However, often
reliable poverty figures are not available at fine geographical levels or for
particular risk population subgroups due to the sample size limitation of
current national surveys. These surveys cannot cover adequately all the desired
areas or population subgroups and, therefore, models relating the different
areas are needed to 'borrow strength" from area to area. In particular, the
Spanish Survey on Income and Living Conditions (SILC) produces national poverty
estimates but cannot provide poverty estimates by Spanish provinces due to the
poor precision of direct estimates, which use only the province specific data.
It also raises the ethical question of whether poverty is more severe for women
than for men in a given province. We develop a hierarchical Bayes (HB) approach
for poverty mapping in Spanish provinces by gender that overcomes the small
province sample size problem of the SILC. The proposed approach has a wide
scope of application because it can be used to estimate general nonlinear
parameters. We use a Bayesian version of the nested error regression model in
which Markov chain Monte Carlo procedures and the convergence monitoring
therein are avoided. A simulation study reveals good frequentist properties of
the HB approach. The resulting poverty maps indicate that poverty, both in
frequency and intensity, is localized mostly in the southern and western
provinces and it is more acute for women than for men in most of the provinces.Comment: Published in at http://dx.doi.org/10.1214/13-AOAS702 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Rejoinder
Rejoinder of "Impact of Frequentist and Bayesian Methods on Survey Sampling
Practice: A Selective Appraisal" by J. N. K. Rao [arXiv:1108.2356]Comment: Published in at http://dx.doi.org/10.1214/11-STS346REJ the
Statistical Science (http://www.imstat.org/sts/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Quenching of fluorescence of aromatic molecules by graphene due to electron transfer
Investigations on the fluorescence quenching of graphene have been carried
out with two organic donor molecules, pyrene butanaoic acid succinimidyl ester
(PyBS, I) and oligo(p-phenylenevinylene) methyl ester (OPV-ester, II).
Absorption and photoluminescence spectra of I and II recorded in mixture with
increasing the concentrations of graphene showed no change in the former, but
remarkable quenching of fluorescence. The property of graphene to quench
fluorescence of these aromatic molecules is shown to be associated with
photo-induced electron transfer, on the basis of fluorescence decay and
time-resolved transient absorption spectroscopic measurements.Comment: 18 pages, 6 figure
Ceramic regenerator systems development program
The DOE/NASA Ceramic Regenerator Design and Reliability Program aims to develop ceramic regenerator cores that can be used in passenger car and industrial/truck gas turbine engines. The major cause of failure of early gas turbine regenerators was found to be chemical attack of the ceramic material. Improved materials and design concepts aimed at reducing or eliminating chemical attack were placed on durability test in Ford 707 industrial gas turbine engines late in 1974. Results of 53,065 hours of turbine engine durability testing are described. Two materials, aluminum silicate and magnesium aluminum silicate, show promise. Five aluminum silicate cores attained the durability objective of 10,000 hours at 800 C (1472 F). Another aluminum silicate core shows minimal evidence of chemical attack after 8071 hours at 982 C (1800 F). Results obtained in ceramic material screening tests, aerothermodynamic performance tests, stress analysis, cost studies, and material specifications are included
A novel intermediate in the interaction of thiosemicarbazide with sheep liver serine hydroxymethyltransferase
An unusual intermediate bound to the enzyme was detected in the interaction of thiosemicarbazide with sheep liver serine hydroxymethyltransferase. This intermediate had absorbance maxima at 464 and 440 nm. Such spectra are characteristic of resonance stabilized intermediates detected in the interaction of substrates and quasisubstrates with pyridoxal phosphate enzymes. An intermediate of this kind has not been detected in the interaction of thiosemicarbazide with other pyridoxal phosphate enzymes. This intermediate was generated slowly (t½ = 4 min) following the addition of thiosemicarbazide (200 μM) to sheep liver serine hydroxymethyltransferase (5μM). It was bound to the enzyme as evidenced by circular dichroic bands at 464 and 440 nm and the inability to be removed upon Centricon filtration. The kinetics of interaction revealed that thiosemicarbazide was a slow binding reversible inhibitor in this phase with a kon of 11 M-1 s-1 and a koff of 5 s-1. The intermediate was converted very slowly (k = 4 ×
10-5 s-1) to the final products, namely the apoenzyme and the thiosemicarbazone of pyridoxal phosphate. A minimal kinetic mechanism involving the initial conversion to the intermediate absorbing at longer wavelengths and the conversion of this intermediate to the finalp roduct, as well as, the formation of pyridoxal phosphate-thiosemicarbazone directly by an alternate pathway is proposed
Solitary Dust--Acoustic Waves in a Plasma with Two-Temperature Ions and Distributed Grain Size
The propagation of weakly nonlinear dust--acoustic waves in a dusty plasma
containing two ion species with different temperatures is explored. The
nonlinear equations describing both the quadratic and cubic plasma
nonlinearities are derived. It is shown that the properties of dust--acoustic
waves depend substantially on the grain size distribution. In particular, for
solitary dust--acoustic waves with a positive potential to exist in a plasma
with distributed grain size, it is necessary that the difference between the
temperatures of two ion species be large that that in the case of unusized
grains.Comment: 16 pages, 6 figure
Disparity of attitudes and practices on a concept of productivity of water in agriculture in the Great Ruaha River Sub-Basin
River basinsWater useProductivityAssessmentIrrigation programs
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