Asymptotic Distributions of the Generalized Range, Midrange, Extremal Quotient, and Extremal Product, with a Comparison Study

Necessary and sufficient conditions for the weak convergence of the generalized range, midrange, extremal quotient, and extremal product are obtained. The classes of possible non degenerate limit distribution functions of these simple statistics are characterized. Comparison study between these stat...

Full description

Saved in:
Bibliographic Details
Published in:Communications in statistics. Theory and methods 2015-03, Vol.44 (5), p.900-913
Main Authors: Barakat, H. M., Nigm, E. M., Elsawah, A. M.
Format: Article
Language:English
Subjects:
Asymptotic properties
Convergence
Distribution functions
Extremal product
Extremal quotient
Generalized order statistics
Geometric range
Midrange
Primary 62G30
Quotients
Range
Secondary 60F050
Statistics
Weak convergence
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Necessary and sufficient conditions for the weak convergence of the generalized range, midrange, extremal quotient, and extremal product are obtained. The classes of possible non degenerate limit distribution functions of these simple statistics are characterized. Comparison study between these statistics with some examples for the most important distribution functions are given.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2012.750356