dc.contributor.author | Wang, Chunlin | |
dc.contributor.author | Marriott, Paul | |
dc.contributor.author | Li, Pengfei | |
dc.date.accessioned | 2018-06-08 17:56:02 (GMT) | |
dc.date.available | 2018-06-08 17:56:02 (GMT) | |
dc.date.issued | 2018-07-01 | |
dc.identifier.uri | https://dx.doi.org/10.1016/j.jmva.2018.02.010 | |
dc.identifier.uri | http://hdl.handle.net/10012/13382 | |
dc.description | The final publication is available at Elsevier via https://dx.doi.org/10.1016/j.jmva.2018.02.010 © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
dc.description.abstract | A non-standard, but not uncommon, situation is to observe multiple samples of nonnegative data which have a high proportion of zeros. This is the so-called excess of zeros situation and this paper looks at the problem of making inferences about the means of the underlying distributions. Under the semiparametric setup, proposed by Wang et al. (2017), we develop a unified inference framework, based on an empirical likelihood ratio (ELR) statistic, for making inferences on the means of multiple such distributions. A chi-square-type limiting distribution of this statistic is established under a general linear null hypothesis about the means. This result allows us to construct a new test for mean equality. Simulation results show favorable performance of the proposed ELR when compared with other existing methods for testing mean equality, especially when the correctly specified basis function in the density ratio model is the logarithm function. A real data set is analyzed to illustrate the advantages of the proposed method. | en |
dc.description.sponsorship | Natural Sciences and Engineering Research Council of Canada (Grants RGPIN-2014-05424; RGPIN-2015-06592) | en |
dc.description.sponsorship | Fundamental Research Funds for the Central Universities (Grants 20720181043; 20720181003) | en |
dc.language.iso | en | en |
dc.publisher | Elsevier | en |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Density ratio model | en |
dc.subject | Empirical likelihood | en |
dc.subject | Estimating equation | en |
dc.subject | Multinomial logistic regression | en |
dc.subject | Non-standard mixture model | en |
dc.subject | Semi-continuous data | en |
dc.title | Semiparametric inference on the means of multiple nonnegative distributions with excess zero observations | en |
dc.type | Article | en |
dcterms.bibliographicCitation | Wang, C., Marriott, P., & Li, P. (2018). Semiparametric inference on the means of multiple nonnegative distributions with excess zero observations. Journal of Multivariate Analysis, 166, 182–197. doi:10.1016/j.jmva.2018.02.010 | en |
uws.contributor.affiliation1 | Faculty of Mathematics | en |
uws.contributor.affiliation2 | Statistics and Actuarial Science | en |
uws.typeOfResource | Text | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Reviewed | en |
uws.scholarLevel | Faculty | en |