Quite many authors have dealt with the estimation of the parameters of normal distribution on the basis of non-homogeneous sets: Hald A. 1949 [1], Arango-Castillo L. and Takahara G. 2018 [2]. All the robust methods ar...Quite many authors have dealt with the estimation of the parameters of normal distribution on the basis of non-homogeneous sets: Hald A. 1949 [1], Arango-Castillo L. and Takahara G. 2018 [2]. All the robust methods are based on the assumption that the results affected by gross errors can be found to the left and/or to the right of censoring, or truncated, points. However, as a rule, the (intrinsic) distribution of observations is complex (mixed) consisting of two or more distributions. Then the existing methods, such as ML, Huber’s, etc., yield enlarged estimates for the normal-distribution variance. By studying better estimates the present author has invented new method, called PEROBLS D, based on the Tukeyan mixed-distribution model in which both the contamination rate (percentage) and the parameters of both distributions, forming the mixed one, are estimated, and for the parameters of the basic normal distribution better estimates are obtained than by the existing methods.展开更多
A novel inorganic-organic hybrid compound, {[Co（dien）]4[0aO4）MoV8（wV10.56MoV10.44）4- O33（OH）3]}＇nH20 （1, n = 1, dien = diethylenetriamine）, has been synthesized hydrothermally and characterized by single-cry...A novel inorganic-organic hybrid compound, {[Co（dien）]4[0aO4）MoV8（wV10.56MoV10.44）4- O33（OH）3]}＇nH20 （1, n = 1, dien = diethylenetriamine）, has been synthesized hydrothermally and characterized by single-crystal X-ray diffraction. Compound 1 crystallizes in the triclinic system with a = 11.927（2）, b = 13.328（3）, c = 19.306（4）A, a = 93.76（3）, β = 94.14（3）, γ = 109.99（3）°, V= 2863.2（12） A3, space group P1 and Z = 2 at 173 K. The final full-matrix least-squares refinement converged to R = 0.049 for 9621 observed reflections with 1 〉 2σ（I） and wR = 0.139 for all data （9871） and S = 1.073. Crystal structure analysis shows that 1 contains a kind of the first reported mixed-valence and molybdenum-tungsten mixed-distributed e-Keggin structural polyanion capped by four Co（dien） fragments with the main group element P occupying the center site. These results were further confirmed by energy-dispersive X-ray spectroscopy （EDS）, X-ray powder diffraction （XRD）, Fourier transform infrared spectroscopy （FTIR）, Raman spectroscopy, Thermogravimetry （TG） and X-ray photoelectron spectroscopy （XPS） analyses.展开更多
文摘Quite many authors have dealt with the estimation of the parameters of normal distribution on the basis of non-homogeneous sets: Hald A. 1949 [1], Arango-Castillo L. and Takahara G. 2018 [2]. All the robust methods are based on the assumption that the results affected by gross errors can be found to the left and/or to the right of censoring, or truncated, points. However, as a rule, the (intrinsic) distribution of observations is complex (mixed) consisting of two or more distributions. Then the existing methods, such as ML, Huber’s, etc., yield enlarged estimates for the normal-distribution variance. By studying better estimates the present author has invented new method, called PEROBLS D, based on the Tukeyan mixed-distribution model in which both the contamination rate (percentage) and the parameters of both distributions, forming the mixed one, are estimated, and for the parameters of the basic normal distribution better estimates are obtained than by the existing methods.
基金Foundation of Education Department of Fujian Province(Nos.JA11245 and JB12199)National Natural Science Foundation of China(No.40972035)
文摘A novel inorganic-organic hybrid compound, {[Co（dien）]4[0aO4）MoV8（wV10.56MoV10.44）4- O33（OH）3]}＇nH20 （1, n = 1, dien = diethylenetriamine）, has been synthesized hydrothermally and characterized by single-crystal X-ray diffraction. Compound 1 crystallizes in the triclinic system with a = 11.927（2）, b = 13.328（3）, c = 19.306（4）A, a = 93.76（3）, β = 94.14（3）, γ = 109.99（3）°, V= 2863.2（12） A3, space group P1 and Z = 2 at 173 K. The final full-matrix least-squares refinement converged to R = 0.049 for 9621 observed reflections with 1 〉 2σ（I） and wR = 0.139 for all data （9871） and S = 1.073. Crystal structure analysis shows that 1 contains a kind of the first reported mixed-valence and molybdenum-tungsten mixed-distributed e-Keggin structural polyanion capped by four Co（dien） fragments with the main group element P occupying the center site. These results were further confirmed by energy-dispersive X-ray spectroscopy （EDS）, X-ray powder diffraction （XRD）, Fourier transform infrared spectroscopy （FTIR）, Raman spectroscopy, Thermogravimetry （TG） and X-ray photoelectron spectroscopy （XPS） analyses.
