On the continuity of invariant statistics
Applications of Mathematics, Tome 23 (1978) no. 5, pp. 381-388.

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The aim of this paper is to establish theorems on the absolute continuity of translation as well as scale invariant statistics in general, from which the related results by Hodges-Lehmann and Puri-Sen follow. The continuity relations between the joint cdf of a random vector and its marginal cdf's are also considered.
DOI : 10.21136/AM.1978.103763
Classification : 60E05, 62A01, 62A05, 62E15, 62G05
Mots-clés : continuity of invariant statistics; translation invariant statistic; scale invariant statistics; joint distribution; marginal distribution 
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Ho, Nguyen Van. On the continuity of invariant statistics. Applications of Mathematics, Tome 23 (1978) no. 5, pp. 381-388. doi : 10.21136/AM.1978.103763. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103763/

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