On the Extreme Value <inline-formula><math display="inline"><semantics><mi mathvariant="double-struck">H</mi></semantics></math></inline-formula>-Function
Pushpa Narayan Rathie,
Luan Carlos de Sena Monteiro Ozelim,
Felipe Quintino,
Tiago A. da Fonseca
Affiliations
Pushpa Narayan Rathie
Department of Statistics, University of Brasilia, Brasília 70.910-900, Brazil
Luan Carlos de Sena Monteiro Ozelim
Department of Civil and Environmental Engineering, University of Brasilia, Brasília 70.910-900, Brazil
Felipe Quintino
Department of Statistics, University of Brasilia, Brasília 70.910-900, Brazil
Tiago A. da Fonseca
Gama Engineering College, University of Brasilia, Brasília 72.444-240, Brazil
In the present paper, a new special function, the so-called extreme value H-function, is introduced. This new function, which is a generalization of the H-function with a particular set of parameters, appears while dealing with products and quotients of a wide class of extreme value random variables. Some properties, special cases and a series representation are provided. Some statistical applications are also briefly discussed.
