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Shi X, Qin S, Wu Y. Robust detection of abnormality in highly corrupted medical images. Electron J Stat 2021. [DOI: 10.1214/21-ejs1906] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Affiliation(s)
- Xiaoping Shi
- Irving K. Barber School of Arts and Sciences University of British Columbia Kelowna, BC V1V 1V7, Canada
| | - Shanshan Qin
- Department of Mathematics and Statistics York University Toronto, Ontario, Canada
| | - Yuehua Wu
- Department of Mathematics and Statistics York University Toronto, Ontario, Canada
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Affiliation(s)
- Zacharias Psaradakis
- Department of Economics, Mathematics and Statistics, Birkbeck, University of London, London
| | - Marián Vávra
- Research Department, National Bank of Slovakia, Birkbeck Centre for Applied Macroeconomics, University of London, London
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Affiliation(s)
- Kalanka P. Jayalath
- Department of Mathematics and Statistics, University of Houston, Clear Lake, Houston, TX, USA
| | - Hon Keung Tony Ng
- Department of Statistical Science, Southern Methodist University, Dallas, TX, USA
| | - Ananda B. Manage
- Department of Mathematics and Statistics, Sam Houston State University, Huntsville, TX, USA
| | - Kent E. Riggs
- Department of Mathematics and Statistics, Stephen F Austin State University, Nacogdoches, TX, USA
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Lyubchich V, Wang X, Heyes A, Gel YR. A distribution-free m-out-of- n bootstrap approach to testing symmetry about an unknown median. Comput Stat Data Anal 2016. [DOI: 10.1016/j.csda.2016.05.004] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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A measure of asymmetry based on a new necessary and sufficient condition for symmetry. SANKHYA A 2013. [DOI: 10.1007/s13171-013-0034-z] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Wang JC, Auda H, Niewiadomska–Bugaj M. Comparing a New Gini Test with Other Symmetry Tests When Median Is Unknown. COMMUN STAT-SIMUL C 2013. [DOI: 10.1080/03610918.2012.671875] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Mukherjee A, Abd-Elfattah A, Pukait B. A rule of thumb for testing symmetry about an unknown median against a long right tail. J STAT COMPUT SIM 2013. [DOI: 10.1080/00949655.2013.784316] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Laïb N, Lemdani M, Ould Saïd E. A functional conditional symmetry test for a GARCH-SM model: Power asymptotic properties. STATISTICS & RISK MODELING 2013. [DOI: 10.1524/strm.2012.1082] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
Abstract
In this paper we consider the empirical process of the errors appearing in a generalized autoregressive conditional heteroskedastic with stochastic mean (GARCH-SM) model. Various functional tests of conditional symmetry can be built on the basis of the limiting distribution of this process. In particular, a Cramér–von Mises-type test is considered. Its theoretical power is studied under fixed and local alternatives. Using the Karhunen–Loève decomposition, the limiting law of the latter is approximated by a chi-square distribution under both null and alternative hypotheses. The local power under a sequence of alternatives is also computed.
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Tony Ng HK, Tripathi RC, Balakrishnan N. A two-stage Wilcoxon-type nonparametric test for stochastic ordering in two samples. J Nonparametr Stat 2013. [DOI: 10.1080/10485252.2012.735232] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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