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Diophantine equations and Fermat's last theorem for multivariate(skew-)polynomials
《Applied Mathematics(A Journal of Chinese Universities)》2024年第1期159-173,共15页PAN Jie JIA Yu-ming LI Fang 
supported by the National Natural Science Foundation of China(12131015,12071422).
Fermat’s Last Theorem is a famous theorem in number theory which is difficult to prove.However,it is known that the version of polynomials with one variable of Fermat’s Last Theorem over C can be proved very concisely...
关键词：Fermat's last theorem polynomial ring skew polynomial ring 
Pricing VIX options with stochastic skew and asymmetric jumps
《Applied Mathematics(A Journal of Chinese Universities)》2020年第1期33-56,共24页JING Bo LI Sheng-hong TAN Xiao-yu 
the National Natural Science Foundation of China(11571310,71371168).
This paper performs several empirical exercises to provide evidence that the stochas-tic skew behavior and asymmetric jumps exist in VIX markets.In order to adequately capture all of the features,we develop a general ...
关键词：VIX options stochastic skew multi-factor volatility JUMPS 
A parametric bootstrap approach for one-way classification model with skew-normal random effects被引量：3
《Applied Mathematics(A Journal of Chinese Universities)》2019年第4期423-435,共13页YE Ren-dao XU Li-jun LUO Kun JIANG Ling 
Supported by Zhejiang Provincial Philosophy and Social Science Planning Zhijiang Youth Project of China(Grant No.16ZJQN017YB);Ministry of Education of China,Humanities and Social Science Projects(Grant No.19YJA910006);Zhejiang Provincial Natural Science Foundation of China(Grant No.LY20A010019);Fundamental Research Funds for the Provincial Universities of Zhejiang(Grant No.GK199900299012-204);Zhejiang Provincial Statistical Science Research Base Project of China(Grant No.19TJJD08)
In this paper,several properties of one-way classification model with skew-normal random effects are obtained,such as moment generating function,density function and noncentral skew chi-square distribution,etc.Based o...
关键词：PARAMETRIC BOOTSTRAP EM algorithm one-way classification model SKEW-NORMAL DISTRIBUTION SKEW CHI-SQUARE DISTRIBUTION 
A skew–normal mixture of joint location, scale and skewness models被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2016年第3期283-295,共13页LI Hui-qiong WU Liu-cang YI Jie-yi 
Supported by the National Natural Science Foundation of China(11261025,11561075);the Natural Science Foundation of Yunnan Province(2016FB005);the Program for Middle-aged Backbone Teacher,Yunnan University
Normal mixture regression models are one of the most important statistical data analysis tools in a heterogeneous population. When the data set under consideration involves asymmetric outcomes, in the last two decades...
关键词：mixture regression models mixture of joint location scale and skewness models EM algorithm maximum likelihood estimation skew-normal mixtures 
CONSTRUCTION OF REAL-VALUED MULTIVARIATE WAVELETS
《Applied Mathematics(A Journal of Chinese Universities)》1995年第2期229-236,共8页XIAO SHAOLIANG 
In this papert we give a method to construct multivqriate wavelets for skewsymmetric scaling function. Such wavelets have some desirable properties, e,g.t they are real-valued and orthogonal if the scaling function is...
关键词：WAVELET multiresolution analysis skew-symmetry Householder matrix extensability. 
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