New order preserving properties of geometric compounds

Bhattacharjee, Manish C. and Ravi, S. and Vasudeva, R. and Mohan, N. R. (2003) New order preserving properties of geometric compounds. Statistics & Probability Letters, 64 (2). 113 - 120. ISSN 0167-7152

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Official URL: ttps://doi.org/10.1016/S0167-7152(03)00039-7

Abstract

We show that randomly stopped partial sums of nonnegative i.i.d. sequences with a geometric stopping variable, inherit some nonparametric class properties defined via the Laplace ordering and that the corresponding converses also hold. Our findings extend earlier results in this direction available in the literature, and are stronger in the sense of reciprocity of closure under the weaker nonparametric assumptions.

Item Type: Article
Uncontrolled Keywords: Geometric compounds, Nonparametric classes, Laplace ordering
Subjects: E Mathematical Science > Statistics
Divisions: Department of > Statistics
Depositing User: LA manjunath user
Date Deposited: 07 Sep 2019 06:29
Last Modified: 07 Sep 2019 06:29
URI: http://eprints.uni-mysore.ac.in/id/eprint/7741

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