A new extension of the class of regularly varying functions

Abstract : We define a new class of positive and Lebesgue measurable functions in terms of their asymptotic behavior, which includes the class of regularly varying functions. We also characterize it by transformations, corresponding to generalized moments when these functions are random variables. We study the properties and extensions of classical theorems for this class.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [29 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01181346
Contributor : Meitner Cadena <>
Submitted on : Thursday, July 30, 2015 - 7:43:23 AM
Last modification on : Friday, September 20, 2019 - 4:34:03 PM
Long-term archiving on: Saturday, October 31, 2015 - 10:14:15 AM

File

ExtensionRVclass-2015June.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01181346, version 1

Citation

Meitner Cadena, Marie Kratz. A new extension of the class of regularly varying functions. 2015. ⟨hal-01181346⟩

Share

Metrics

Record views

212

Files downloads

395