Summary Asymptotic properties of several estimators of interclass correlation from familial data are examined in the case of a variable
number of siblings per family. After showing that the usual sib-mean estimator is not consistent, a modified sib-mean estimator
is proposed. Asymptotic distributions of estimators are derived and a test procedure is provided for a certain testing problem
concerning interclass correlation. Several estimators are compared in the various mean number of siblings per family, using
asymptotic mean square errors.
The Institute of Statistical Mathematics 相似文献
We have investigated the convergence of third order correlation energy within the hierarchies of correlation consistent basis sets for helium, neon, and water, and for three stationary points of hydrogen peroxide. This analysis confirms that singlet pair energies converge much slower than triplet pair energies. In addition, singlet pair energies with (aug)-cc-pVDZ and (aug)-cc-pVTZ basis sets do not follow a converging trend and energies with three basis sets larger than aug-cc-pVTZ are generally required for reliable extrapolations of third order correlation energies, making so the explicitly correlated R12 calculations preferable. 相似文献
Scale factors for (a) low (<1000 cm(-1)) and high harmonic vibrational frequencies, (b) thermal contributions to enthalpy and entropy, and (c) zero-point vibrational energies have been determined for five hybrid functionals (B3P86, B3PW91, PBE1PBE, BH&HLYP, MPW1K), five pure functionals (BLYP, BPW91, PBEPBE, HCTH93, and BP86), four hybrid meta functionals (M05, M05-2X, M06, and M06-2X) and one double-hybrid functional (B2GP-PLYP) in combination with the correlation consistent basis sets [cc-pVnZ and aug-cc-pVnZ, n = D(2),T(3),Q(4)]. Calculations for vibrational frequencies were carried out on 41 organic molecules and an additional set of 22 small molecules was used for the zero-point vibrational energy scale factors. Before scaling, approximately 25% of the calculated frequencies were within 3% of experimental frequencies. Upon application of the derived scale factors, nearly 90% of the calculated frequencies deviated less than 3% from the experimental frequencies for all of the functionals when the augmented correlation consistent basis sets were used. 相似文献
Numerical SCFT simulations of inhomogeneous polymers at the mesoscale can easily become computationally extremely demanding as the size (spatial resolution) of the simulated 3D system increases, making massively parallel computing a necessity. A new parallel algorithm for large‐scale 3D SCFT simulations of rod‐coil copolymers with interplay between microphase separation and orientational ordering is presented. For large systems, this algorithm scales well up to 1024 processors, achieving more than 200‐fold speedups. While existing SCFT simulations were limited to studying 1D and 2D models, this algorithm is applied to new, intrinsic 3D structures such as a hexagonally arranged columnar morphology that possesses macroscopic chirality arising as a result of spontaneous symmetry breaking.
Combining self-consistent-field theory and density-functional theory,we systematically study the deformation of copolymer micelles induced by the presence of amphiphilic dimer particles.Due to the amphiphilic nature,dimer particles tend to accumulate onto the interface of the copolymer micelle.With increasing concentration of the symmetric dimer particles,which are made of two identical spherical particles,the micelle deforms from the initial sphere to ellipse,dumbbell, and finally separates into two micelles.Furthermore,asymmetric dimer particles,composed by two particles with different sizes,are considered to investigate the influence of geometry of dimer particles on the deformation of the micelle.It is found that the micelle inclines to deform into dumbbell due to the additional curvature originating in the gathering of asymmetric dimer particles onto the interface of the micelle.The present study on the deformation of micelles is useful to understand the possible shape variation in the course of cell division/fusion. 相似文献