Diagnostic plots for identifying max domains of attraction under power normalization. Issue 13 (3rd October 2018)

• Record Type: Journal Article
• Authors: Bhati, Deepesh; Ravi, Sreenivasan
• Is Part Of: Journal of applied statistics. Volume 45:Issue 13(2018)
• Page Start: 2394
• Page End: 2410
• Publication Date: 2018-10-03
• Subjects: Gumbel probability plot -- Fréchet probability plot -- extreme value laws -- p-max stable laws -- power normalization; Statistics -- Periodicals; 519.5
• DOI: 10.1080/02664763.2017.1421915
• Languages: English
• ISSNs: 0266-4763

Abstract

ABSTRACT: Diagnostic plots for determining the max domains of attraction of power normalized partial maxima are proposed. A test to ascertain the veracity of the claim that data distribution belongs to a max domain of attraction under power normalization is given. The performance of this test is demonstrated using data simulated from many well-known distributions. Furthermore, two real-world datasets are analysed using the proposed procedure.