Residential College | false |
Status | 已發表Published |
Bivariate Continuous Negatively Correlated Proportional Models with Applications in Schizophrenia Research | |
Sun, Yuan1; Tian, Guoliang2; Guo, Shuixia3,4; Shu, Lianjie5; Zhang, Chi6 | |
2022-01-24 | |
Source Publication | Mathematics |
ISSN | 2227-7390 |
Volume | 10Issue:3Pages:353 |
Abstract | Bivariate continuous negatively correlated proportional data defined in the unit square (0, 1) often appear in many different disciplines, such as medical studies, clinical trials and so on. To model this type of data, the paper proposes two new bivariate continuous distributions (i.e., negatively correlated proportional inverse Gaussian (NPIG) and negatively correlated proportional gamma (NPGA) distributions) for the first time and provides corresponding distributional properties. Two mean regression models are further developed for data with covariates. The normalized expectation– maximization (N-EM) algorithm and the gradient descent algorithm are combined to obtain the maximum likelihood estimates of parameters of interest. Simulations studies are conducted, and a data set of cortical thickness for schizophrenia is used to illustrate the proposed methods. According to our analysis between patients and controls of cortical thickness in typical mutual inhibitory brain regions, we verified the compensatory of cortical thickness in patients with schizophrenia and found its negative correlation with age. |
Keyword | Bivariate Npga Models Bivariate Npig Models Cortical Thickness N-em Algorithm Proportional Data |
DOI | 10.3390/math10030353 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000755261000001 |
Publisher | MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND |
Scopus ID | 2-s2.0-85123550419 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Business Administration |
Corresponding Author | Zhang, Chi |
Affiliation | 1.Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China 2.Department of Statistics and Data Science, Southern University of Science and Technology, Shenzhen, 518055, China 3.MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, China 4.Key Laboratory of Applied Statistics and Data Science, Hunan Normal University, Changsha, 410081, China 5.Faculty of Business, University of Macau, Macau, China 6.College of Economics, Shenzhen University, Shenzhen, 518055, China |
Recommended Citation GB/T 7714 | Sun, Yuan,Tian, Guoliang,Guo, Shuixia,et al. Bivariate Continuous Negatively Correlated Proportional Models with Applications in Schizophrenia Research[J]. Mathematics, 2022, 10(3), 353. |
APA | Sun, Yuan., Tian, Guoliang., Guo, Shuixia., Shu, Lianjie., & Zhang, Chi (2022). Bivariate Continuous Negatively Correlated Proportional Models with Applications in Schizophrenia Research. Mathematics, 10(3), 353. |
MLA | Sun, Yuan,et al."Bivariate Continuous Negatively Correlated Proportional Models with Applications in Schizophrenia Research".Mathematics 10.3(2022):353. |
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