NONPARAMETRIC TEST FOR UBACT CLASS OF LIFE DISTRIBUTION BASED ON U-STATISTIC

Authors

  • Mahmoud Bkr Faculty of Science, Al- Azhar University, Cairo, Egypt;
  • Abu Youssef S. E Faculty of Science, Al- Azhar University, Cairo, Egypt;
  • Bakr M.E Faculty of Engineering Science, Sinai University El Arish

DOI:

https://doi.org/10.24297/jam.v11i2.1275

Keywords:

UBAC class of life distribution, U-Statistic, hypothesis testing, asymptotic normality, e¢ ciency.

Abstract

Based on U-statistic, testing exponentially versus used better than aged in convex tail ordering (UBACT) class of life distribution is introduced for complete and cen-sored data. Convergence of the proposed statistic to the normal distribution is proved. Selected critical values are tabulated for sample sizes 5(5)80 for complete data, and (61)(10)(201) for censored data: The Pitman asymptotic relative e¢ ciency of the pro- posed tests to the other classes is studied. A numerical examples in medical science demonstrates practical application of the proposed test .

Downloads

Download data is not yet available.

Author Biographies

Mahmoud Bkr, Faculty of Science, Al- Azhar University, Cairo, Egypt;

Department of Mathematics,

Abu Youssef S. E, Faculty of Science, Al- Azhar University, Cairo, Egypt;

Department of Mathematics

Bakr M.E, Faculty of Engineering Science, Sinai University El Arish

Department of Basic Science

Downloads

Published

2015-08-18

How to Cite

Bkr, M., Youssef S. E, A., & M.E, B. (2015). NONPARAMETRIC TEST FOR UBACT CLASS OF LIFE DISTRIBUTION BASED ON U-STATISTIC. JOURNAL OF ADVANCES IN MATHEMATICS, 11(2), 4002–4011. https://doi.org/10.24297/jam.v11i2.1275

Issue

Vol. 11 No. 2 (2015)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

Crossref
Scopus
Google Scholar
Europe PMC