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PRECISE ASYMPTOTICS IN SELF-NORMALIZED SUMS OF ITERATED LOGARITHM FOR MULTIDIMENSIONALLY INDEXED RANDOM VARIABLES 被引量:3
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作者 Jiang Chaowei Yang Xiaorong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第1期87-94,共8页
In the case of Z+^d(d ≥ 2)-the positive d-dimensional lattice points with partial ordering ≤, {Xk,k∈ Z+^d} i.i.d, random variables with mean 0, Sn =∑k≤nXk and Vn^2 = ∑j≤nXj^2, the precise asymptotics for ∑... In the case of Z+^d(d ≥ 2)-the positive d-dimensional lattice points with partial ordering ≤, {Xk,k∈ Z+^d} i.i.d, random variables with mean 0, Sn =∑k≤nXk and Vn^2 = ∑j≤nXj^2, the precise asymptotics for ∑n1/|n|(log|n|dP(|Sn/Vn|≥ε√log log|n|) and ∑n(logn|)b/|n|(log|n|)^d-1P(|Sn/Vn|≥ε√log n),as ε↓0,is established. 展开更多
关键词 multidimensionally indexed random variable precise asymptotics self-normalized sum Davislaw of large numbers law of iterated logarithm.
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SesIndexCreatoR:An R Package for Socioeconomic Indices Computation and Visualization
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作者 Benoit Lalloue Severine Deguen +4 位作者 Jean-Marie Monnez Cindy Padilla Wahida Kihal Denis Zmirou-Navier Nolwenn Le Meur 《Open Journal of Statistics》 2015年第4期291-302,共12页
In order to study social inequalities, indices can be used to summarize the multiple dimensions of the socioeconomic status. As a part of the Equit’Area Project, a public health program focused on social and environm... In order to study social inequalities, indices can be used to summarize the multiple dimensions of the socioeconomic status. As a part of the Equit’Area Project, a public health program focused on social and environmental health inequalities;a statistical procedure to create (neighborhood) socioeconomic indices was developed. This procedure uses successive principal components analyses to select variables and create the index. In order to simplify the application of the procedure for non-specialists, the R package SesIndexCreatoR was created. It allows the creation of the index with all the possible options of the procedure, the classification of the resulting index in categories using several classical methods, the visualization of the results, and the generation of automatic reports. 展开更多
关键词 Socioeconomic Status multidimensional index Principal Component Analysis Hierarchical Classification R
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Some Limit Theorems for Weighted Sums of Random Variable Fields 被引量:2
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作者 GAN Shixin CHEN Pingyan 《Wuhan University Journal of Natural Sciences》 CAS 2006年第2期323-327,共5页
Let{Xn^-,n^-∈N^d}be a field of Banach space valued random variables, 0 〈r〈p≤2 and{an^-,k^-, (n^-,k^-) ∈ N^d × N^d ,k^-≤n^-} a triangular array of real numhers, where N^d is the d-dimensional lattice (d... Let{Xn^-,n^-∈N^d}be a field of Banach space valued random variables, 0 〈r〈p≤2 and{an^-,k^-, (n^-,k^-) ∈ N^d × N^d ,k^-≤n^-} a triangular array of real numhers, where N^d is the d-dimensional lattice (d≥1 ). Under the minimal condition that {||Xn^-|| r,n^- ∈N^d} is {|an^-,k^-|^r,(n^-,k^-)} ∈ N^d ×N^d,k^-≤n^-}-uniformly integrable, we show that ∑(k^-≤n^-)an^-,k^-,Xk^-^(L^r(or a,s,)→0 as |n^-|→∞ In the above, if 0〈r〈1, the random variables are not needed to be independent. If 1≤r〈p≤2, and Banach space valued random variables are independent with mean zero we assume the Banaeh space is of type p. If 1≤r≤p≤2 and Banach space valued random variables are not independent we assume the Banach space is p-smoothable. 展开更多
关键词 Banaeh space of type p multidimensional index strong law of large numbers L" convergence weightedsums of random variable fields martingale difference array
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Value of a comprehensive geriatric assessment for predicting one-year outcomes in patients undergoing transcatheter aortic valve implantation:results from the CGA-TAVI multicentre registry 被引量:3
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作者 Martijn S.van Mourik Nathalie van der Velde +12 位作者 Giulio Mannarino Marie-Pierre Thibodeau Jean-Bernard Masson Gennaro Santoro Jan Baan Sofie Jansen Jana Kurucova Martin Thoenes Cornelia Deutsch ANDreas W.Schoenenberger ANDrea Ungar Peter Bramlage M Marije Vis 《Journal of Geriatric Cardiology》 SCIE CAS CSCD 2019年第6期468-477,共10页
Background In a three-month report from the CGA-TAVI registry,we found the Multidimensional Prognostic Index(MPI)and Short Physical Performance Battery(SPPB)to be of value for predicting short-term outcomes in elderly... Background In a three-month report from the CGA-TAVI registry,we found the Multidimensional Prognostic Index(MPI)and Short Physical Performance Battery(SPPB)to be of value for predicting short-term outcomes in elderly patients undergoing transcatheter aortic valve implantation(TAVI).In the present analysis,we examined the association of these tools with outcomes up to one year post-TAVI.Methods CGA-TAVI is an international,observational registry of geriatric patients undergoing TAVI.Patients were assessed using the MPI and SPPB.Efficacy of baseline values and any postoperative change for predicting outcome were established using logistic regression.Kaplan-Meier analysis was carried out for each comprehensive geriatric assessment tool,with survival stratified by risk category.Results One year after TAVI,14.1%of patients deceased,while 17.4%met the combined endpoint of death and/or non-fatal stroke,and 37.7%the combined endpoint of death and/or hospitalisation and/or non-fatal stroke.A high-risk MPI score was associated with an increased risk of all-cause mortality(aOR=36.13,95%CI:2.77–470.78,P=0.006)and death and/or non-fatal stroke(aOR=10.10,95%CI:1.48–68.75,P=0.018).No significant associations were found between a high-risk SPPB score and mortality or two main combined endpoints.In contrast to a worsening SPPB,an aggravating MPI score at three months post-TAVI was associated with an increased risk of death and/or non-fatal stoke at one year(aOR=95.16,95%CI:3.41–2657.01).Conclusions The MPI showed value for predicting the likelihood of death and a combination of death and/or non-fatal stroke by one year after TAVI in elderly patients. 展开更多
关键词 Comprehensive geriatric assessment multidimensional prognostic index Short physical performance battery Silver code Transcatheter aortic valve implantation
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Targeted Poverty Alleviation Lies in Precisely Identifying the Poverty–Stricken Population: An Analysis of the Targeting Effect of the Rural Subsistence Allowance Policy 被引量:1
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作者 Zhu Mengbing Li Shi Yang Weizhen 《Contemporary Social Sciences》 2018年第4期100-124,共25页
Poverty–stricken populations must be identified precisely in the fight against poverty to implement the strategy of building a moderately prosperous society in all respects by 2020. The analysis based on the househol... Poverty–stricken populations must be identified precisely in the fight against poverty to implement the strategy of building a moderately prosperous society in all respects by 2020. The analysis based on the household survey in 2013 shows that the targeting accuracy is not high based on the standard of income and the accuracy is higher based on the standard of multidimensional poverty index. But the latter still has a low coverage rate. To gradually achieve integration of the rural poverty line and the rural subsistence allowance line, standards applied to identifying households entitled to subsistence allowances should be changed from the standard of income to multidimensional poverty indexes. A unified standard of subsistence allowances and a unified method for identifying related households should be developed. At the same time, coverage and funding of subsistence allowances should be extended and increased to better meet people's basic needs. 展开更多
关键词 rural subsistence allowance line poverty threshold by income multidimensional poverty index poverty line
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