## Journal of Applied Probability

### General inverse problems for regular variation

#### Abstract

Regular variation of distributional tails is known to be preserved by various linear transformations of some random structures. An inverse problem for regular variation aims at understanding whether the regular variation of a transformed random object is caused by regular variation of components of the original random structure. In this paper we build on previous work, and derive results in the multivariate case and in situations where regular variation is not restricted to one particular direction or quadrant.

#### Article information

Source
J. Appl. Probab., Volume 51A (2014), 229-248.

Dates
First available in Project Euclid: 2 December 2014

https://projecteuclid.org/euclid.jap/1417528478

Digital Object Identifier
doi:10.1239/jap/1417528478

Mathematical Reviews number (MathSciNet)
MR3317361

Zentralblatt MATH identifier
1314.60049

Subjects
Primary: 60E05: Distributions: general theory
Secondary: 60F05: Central limit and other weak theorems

#### Citation

Damek, Ewa; Mikosch, Thomas; Rosiński, Jan; Samorodnitsky, Gennady. General inverse problems for regular variation. J. Appl. Probab. 51A (2014), 229--248. doi:10.1239/jap/1417528478. https://projecteuclid.org/euclid.jap/1417528478

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