Journal of Statistical Theory and Applications

Volume 12, Issue 1, May 2013, Pages 106 - 119

New classes at Specific Age: Properties and Testing hypotheses

Authors
M.A.W. Mahmoud, M.E. Moshref, A.M. Gadallah, A.I. Shawky
Corresponding Author
M.A.W. Mahmoud
Available Online 1 May 2013.
DOI
https://doi.org/10.2991/jsta.2013.12.1.9How to use a DOI?
Keywords
Convolution, Mixture, U-statistic, Hypothesis test, Homogeneous Poisson shock model.
Abstract
In this article we introduce new classes of life distributions namely new better (worse) than used in expectation at specific age t0 NBUE-t0 (NWUE-t0) and harmonic new better (worse) than used in expectation at specific age t0 HNBUE-t0 (HNWUE-t0). The closure properties under various reliability operations such as convolution, mixture, mixing and the homogeneous Poisson shock model of these classes are studied. Furthermore, nonparametric tests are proposed to test exponentiality versus the NBUE-t0 and HNBUE-t0 classes. The critical values and the powers of this tests are calculated to assess the performance of the tests. It is shown that the proposed tests have high efficiencies for some commonly used distributions in reliability. Sets of real data are used as examples to elucidate the use of the proposed tests for practical problems.
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
12 - 1
Pages
106 - 119
Publication Date
2013/05
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2013.12.1.9How 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.A.W. Mahmoud
AU  - M.E. Moshref
AU  - A.M. Gadallah
AU  - A.I. Shawky
PY  - 2013
DA  - 2013/05
TI  - New classes at Specific Age: Properties and Testing hypotheses
JO  - Journal of Statistical Theory and Applications
SP  - 106
EP  - 119
VL  - 12
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2013.12.1.9
DO  - https://doi.org/10.2991/jsta.2013.12.1.9
ID  - Mahmoud2013
ER  -