Journal of Statistical Theory and Applications

Volume 13, Issue 2, March 2014, Pages 111 - 121

Testing Exponentiality Against UBAC Using Kernel Methods

Authors
M.M. Mohie El-Din, S.E. Abu-Youssef, M.KH. Hassan
Corresponding Author
M.KH. Hassan
Available Online 31 March 2014.
DOI
https://doi.org/10.2991/jsta.2014.13.2.2How to use a DOI?
Keywords
UBAC Classes of Life Distributions; Kernel Method; Survival function; Right censored data; Kaplan-Meier estimator
Abstract
In this paper, the problem of testing exponentiality against used better than aged in convex ordering classes of life distributions is investigated. For this property a nonparametric test is presented based on kernel method. The test is presented for complete and right censored data. Furthermore, Pitman's asymptotic relative efficiency (PARE) is discussed to assess the performance of the test with respect to other tests. Selected critical values are tabulated. Some numerical simulations on the power estimates are presented for proposed test. Finally, examples in medical sciences are used as practical applications for the proposed test.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
13 - 2
Pages
111 - 121
Publication Date
2014/03
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2014.13.2.2How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - M.M. Mohie El-Din
AU  - S.E. Abu-Youssef
AU  - M.KH. Hassan
PY  - 2014
DA  - 2014/03
TI  - Testing Exponentiality Against UBAC Using Kernel Methods
JO  - Journal of Statistical Theory and Applications
SP  - 111
EP  - 121
VL  - 13
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2014.13.2.2
DO  - https://doi.org/10.2991/jsta.2014.13.2.2
ID  - MohieEl-Din2014
ER  -