Residential College | false |
Status | 已發表Published |
A test for equality of two distributions via integrating characteristic functions | |
Yiming LIU1; Zhi LIU2; Wang ZHOU3 | |
2019-10-01 | |
Source Publication | Statistica Sinica |
ISSN | 1017-0405 |
Volume | 29Issue:4Pages:1779-1801 |
Abstract | In this paper, we investigate the problem of testing the equality of two distributions by integrating the squared norm of the difference between two corresponding empirical characteristic functions. This results in a linear combination of three different U-statistics. So the original testing problem is reduced to testing whether this linear combination is zero or not. We apply the Jackknife Empirical Likelihood (JEL) method to the new hypothesis testing problem. It has been proved that, under multivariate case, the log JEL statistic after scaling tends to a chi-square distribution with degree of freedom 1. Simulation studies are presented to assess the finite-sample performance of our method. |
Keyword | Characteristic Function Jackknife Empirical Likelihood U-statistic |
DOI | 10.5705/ss.202017.0236 |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Statistics & Probability |
WOS ID | WOS:000484829500005 |
Publisher | Institute of Statistical Science |
The Source to Article | PB_Publication |
Scopus ID | 2-s2.0-85090735523 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Science and Technology DEPARTMENT OF MATHEMATICS |
Corresponding Author | Zhi LIU |
Affiliation | 1.Nanyang Technological University 2.University of Macau 3.National University of Singapore |
Corresponding Author Affilication | University of Macau |
Recommended Citation GB/T 7714 | Yiming LIU,Zhi LIU,Wang ZHOU. A test for equality of two distributions via integrating characteristic functions[J]. Statistica Sinica, 2019, 29(4), 1779-1801. |
APA | Yiming LIU., Zhi LIU., & Wang ZHOU (2019). A test for equality of two distributions via integrating characteristic functions. Statistica Sinica, 29(4), 1779-1801. |
MLA | Yiming LIU,et al."A test for equality of two distributions via integrating characteristic functions".Statistica Sinica 29.4(2019):1779-1801. |
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