CFP last date
20 January 2025
Reseach Article

A Goodness of Fit Approach to the Unknown Age (UBACT) Class of Life Distribution

by S.E. Abu-youssef, M.E. Bakr
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 103 - Number 1
Year of Publication: 2014
Authors: S.E. Abu-youssef, M.E. Bakr
10.5120/18037-7131

S.E. Abu-youssef, M.E. Bakr . A Goodness of Fit Approach to the Unknown Age (UBACT) Class of Life Distribution. International Journal of Computer Applications. 103, 1 ( October 2014), 12-17. DOI=10.5120/18037-7131

@article{ 10.5120/18037-7131,
author = { S.E. Abu-youssef, M.E. Bakr },
title = { A Goodness of Fit Approach to the Unknown Age (UBACT) Class of Life Distribution },
journal = { International Journal of Computer Applications },
issue_date = { October 2014 },
volume = { 103 },
number = { 1 },
month = { October },
year = { 2014 },
issn = { 0975-8887 },
pages = { 12-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume103/number1/18037-7131/ },
doi = { 10.5120/18037-7131 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:33:25.080638+05:30
%A S.E. Abu-youssef
%A M.E. Bakr
%T A Goodness of Fit Approach to the Unknown Age (UBACT) Class of Life Distribution
%J International Journal of Computer Applications
%@ 0975-8887
%V 103
%N 1
%P 12-17
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Based on the goodness of fit approach, a new test is presented for testing exponentiality versus used better than aged in convex tail ordering UBACT class of life distribution. The percentiles of this test are tabulated for sample sizes n=1(5)100. It is shown that the proposed test is simple and it has high relative efficiency for some commonly used alternatives. A numerical example in medical science demonstrates practical application of the proposed test.

References
  1. Abu-Youssef S. E. and Bakr M. E. (2014). Some properties of UBACT class of life distribution. J. of Adva. Res. in Appl. Math. 1-9.
  2. Abu-Youssef S. E. (2009). Nonparametric Test for Used Better Than Aged in Convex Ordering Class (UBAC) of Life Distributions with Hypothesis Testing Applications. Int. J. of Rel. and App. 81-88.
  3. Ahmad, I. A. (2004). Some properties of classes of life distributions with unknown age. J. Statist. Prob. , 333-342.
  4. Ahmad, I. A. (1994). A class of statistics useful in testing increasing failure rate average and new better than used life distributions. J. Statist. Plan. , 141-149.
  5. A l-Nachawati, H. and Alwasel I. A. (1997). On used better than age in convex ordering class of life distribution . J. of Statist. Res. , 123-130.
  6. Alzaid, A. A. (1994). Aging concepts for item of unknown age. Stochastic models, 649-659.
  7. Attia A. F. , Mahmoud M. A. W. and Abdul-Moniem I. B. (2004). On Testing for Exponential Better than Used in Average Class of Life Distributions Based on the U-Test. The proceeding of The 39 th Annual Conference on Statistics, Computer Sciences and Operation Research 11-14 Dec. 2004. ISSR Cairo University-Egypt
  8. Barlow. R. E. and Prochan F. (1981). Statistical theory of reliability and life testing probability models. To Begin With: Silver-Spring, MD
  9. Bhattacharjee. M. C. (1986). Tail behavior of age-smooth failure distributions and applications. Reli. and Qua. Cont. 69-85.
  10. Bryson, M. C. and Siddiqui, M. M. (1969). Some criteria for aging. J. of Ame. Sta. Ass. 1472-1483.
  11. Cline D. B. H. (1987). Convolutions of distribution with exponential and sub-exponential tails. J. Austeal. Math. Soc. Ser. A. 347-365.
  12. Deshpande, J. V. , Kochar, S. C. and Singh, H. (1986). Aspects of positive aging. J. App. Prob. 1472-1483.
  13. Kaplan, E. L. and Meier, P. , (1958). Nonparameteric estimation from incomplete observations. J. Amer. Statist. Assoc. 457-481.
  14. Hollander, M. and Prochan, F. (1975). Test for mean residual life. Biometrika. 585-593.
  15. Lee (1990). U-statistics. Marcel Dekker, New York.
Index Terms

Computer Science
Information Sciences

Keywords

U-Statistics Goodness of fit approach UBACT class of life distribution Hypothesis testing.