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Conference Paper: Tests for specific nonparametric relations between two distribution functions with applications
Title | Tests for specific nonparametric relations between two distribution functions with applications |
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Authors | |
Keywords | delta method dependent failure times load sharing ordered random variables |
Issue Date | 2019 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1524-1904/ |
Citation | The 10th International Conference on Mathematical Methods in Reliability (MMR 2017), Grenoble, France, 3-6 July 2017. In Applied Stochastic Models in Business and Industry, 2019, v. 35 n. 2, p. 247-259 How to Cite? |
Abstract | Let (X, Y) be a random vector and let G and H be the marginal distributions of X and Y, respectively. In this paper, we propose two tests, one of Kolmogorov-Smirnov type and the other of Wilcoxon type, for the null hypothesis Ψ(G) = H against the alternative Ψ(G) < H, where Ψ() is a function such that Ψ(G) is a distribution function. The tests are based on the empirical distribution functions of the observations on X and Y, which are dependent. We obtain their asymptotic null distributions. A suspected relationship between the distribution functions of two dependent outcomes can be specified as a hypothesis to be tested in examples like the load sharing models, record values, and auction bidding models. As an application, we consider in detail the problem of testing the effect of load sharing in two component parallel systems. |
Persistent Identifier | http://hdl.handle.net/10722/279505 |
ISSN | 2023 Impact Factor: 1.3 2023 SCImago Journal Rankings: 0.452 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Deshpande, JV | - |
dc.contributor.author | Dewan, I | - |
dc.contributor.author | Lam, KF | - |
dc.contributor.author | Naik‐Nimbalkar, UV | - |
dc.date.accessioned | 2019-11-01T07:18:39Z | - |
dc.date.available | 2019-11-01T07:18:39Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | The 10th International Conference on Mathematical Methods in Reliability (MMR 2017), Grenoble, France, 3-6 July 2017. In Applied Stochastic Models in Business and Industry, 2019, v. 35 n. 2, p. 247-259 | - |
dc.identifier.issn | 1524-1904 | - |
dc.identifier.uri | http://hdl.handle.net/10722/279505 | - |
dc.description.abstract | Let (X, Y) be a random vector and let G and H be the marginal distributions of X and Y, respectively. In this paper, we propose two tests, one of Kolmogorov-Smirnov type and the other of Wilcoxon type, for the null hypothesis Ψ(G) = H against the alternative Ψ(G) < H, where Ψ() is a function such that Ψ(G) is a distribution function. The tests are based on the empirical distribution functions of the observations on X and Y, which are dependent. We obtain their asymptotic null distributions. A suspected relationship between the distribution functions of two dependent outcomes can be specified as a hypothesis to be tested in examples like the load sharing models, record values, and auction bidding models. As an application, we consider in detail the problem of testing the effect of load sharing in two component parallel systems. | - |
dc.language | eng | - |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1524-1904/ | - |
dc.relation.ispartof | Applied Stochastic Models in Business and Industry | - |
dc.rights | Preprint This is the pre-peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. Postprint This is the peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. | - |
dc.subject | delta method | - |
dc.subject | dependent failure times | - |
dc.subject | load sharing | - |
dc.subject | ordered random variables | - |
dc.title | Tests for specific nonparametric relations between two distribution functions with applications | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Lam, KF: hrntlkf@hkucc.hku.hk | - |
dc.identifier.authority | Lam, KF=rp00718 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1002/asmb.2375 | - |
dc.identifier.scopus | eid_2-s2.0-85051136832 | - |
dc.identifier.hkuros | 308298 | - |
dc.identifier.volume | 35 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 247 | - |
dc.identifier.epage | 259 | - |
dc.identifier.isi | WOS:000465029700009 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 1524-1904 | - |