Name
Abstract | ||
|---|---|---|
We model the distribution of the normalized interpoint distances (IDs) on the minimal spanning tree (MST) using multivariate beta vectors. We use a multivariate normal copula with beta marginals and a Dirichlet distribution to obtain beta vectors. Based on the normalized ordered IDs of the MST, we define a multivariate Gini index to measure the scatter of a data cloud. An example considers the MST of numerals in 11 European languages and obtains their Gini index. A simulation study compares the Gini index, the maximum and the range of the IDs for multivariate normal and log-normal data, with the results of modeling the distances on the MST. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1080/03610918.2016.1148726 | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION |
Keywords | Field | DocType |
Dirichlet,Gini index,Lorenz Curve,Minimal Spanning Tree,Multivariate beta | Econometrics,Normalization (statistics),Lorenz curve,Multivariate statistics,Copula (linguistics),Multivariate normal distribution,Dirichlet distribution,Statistics,Mathematics,Minimum spanning tree | Journal |
Volume | Issue | ISSN |
46 | 7 | 0361-0918 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Haigang Liu | 1 | 0 | 0.34 |
| Reza Modarres | 2 | 40 | 9.30 |