Robust approach for comparing two dependent normal populations through Wald-type tests based on Rényi’s pseudodistance estimators
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Castilla, Elena
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Jaenada, María
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Martín, Nirian
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Pardo, Leandro
ISSN: 0960-3174, 1573-1375
Datum der Publikation: 2022
Ausgabe: 32
Nummer: 6
Art: Artikel
Andere Publikationen in: Statistics and Computing
Zusammenfassung
Since the two seminal papers by Fisher (Biometrika 10:507–521, 1915; Metron 1:1–32, 1921) were published, the test under a fixed value correlation coefficient null hypothesis for the bivariate normal distribution constitutes an important statistical problem. In the framework of asymptotic robust statistics, it remains being a topic of great interest to be investigated. For this and other tests, focused on paired correlated normal random samples, Rényi’s pseudodistance estimators are proposed, their asymptotic distribution is established and an iterative algorithm is provided for their computation. From them the Wald-type test statistics are constructed for different problems of interest and their influence function is theoretically studied. For testing null correlation in different contexts, an extensive simulation study and two real data based examples support the robust properties of our proposal
Informationen zur Finanzierung
Geldgeber
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Ministerio de Ciencia, Innovación y Universidades
- PGC2018-095 194-B-100
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Ministerio de Educación, Cultura y Deporte
- FPU 19/01824
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