We consider asymptotic distributions of maximum deviations of sample covariance matrices, a fundamental problem in high-dimensional inference of covariances. Under mild dependence conditions on the entries of the data matrices, we establish the Gumbel convergence of the maximum deviations. Our...

Based on the international community’s analysis of the present CO₂ emissions situation, a Log Mean Divisia Index (LMDI) decomposition model is proposed in this paper, aiming to reflect the decomposition of carbon productivity. The model is designed by analyzing the factors that affect carbon...

The successful integration of data from autonomous and heterogeneous systems calls for the resolution of semantic conflicts that may be present. Such conflicts are often reffected by discrepancies in attribute values of the same data object. In this paper, we describe a recently developed...

This paper proposes a new node centrality measurement index (c-index) and its derivative indexes (iterative c-index and cg-index) to measure the collaboration competence of a node in a weighted network. We prove that c-index observe the power law distribution in the weighted scale-free network....

China implemented a new round of collective forestland tenure reform during 2003–2013. In this reform, forestland owned by villages or township collective organizations were divided into a great number of small plots and allocated to member households of the collectives. A widespread concern...

Statistical inferences for sample correlation matrices are important in high dimensional data analysis. Motivated by this, this paper establishes a new central limit theorem (CLT) for a linear spectral statistic (LSS) of high dimensional sample correlation matrices for the case where the...

We study a dimer–dimer irreversible catalytic reaction model A2+B2→2AB in three groups of lattices by means of computer simulations. We found that the properties of the phase transitions closely depend on the structure of lattices. It is found that phase diagrams exhibit three cases: abrupt...