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

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 2

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 .

Authors and Affiliations

Mahmoud Bkr, Abu Youssef S. E, Bakr M. E

Keywords

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  • EP ID EP651549
  • DOI 10.24297/jam.v11i2.1275
  • Views 156
  • Downloads 0

How To Cite

Mahmoud Bkr, Abu Youssef S. E, Bakr M. E (2015). NONPARAMETRIC TEST FOR UBACT CLASS OF LIFE DISTRIBUTION BASED ON U-STATISTIC. JOURNAL OF ADVANCES IN MATHEMATICS, 11(2), 4002-4011. https://europub.co.uk/articles/-A-651549