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On testing more IFRA ordering-II

Author

Listed:
  • Muhyiddin Izadi
  • Baha-Eldin Khaledi
  • Chin-Diew Lai

Abstract

Suppose F and G are two life distribution functions. It is said that F is more IFRA (increasing failure rate average) than G (written by F ⩽ *G) if G− 1F(x) is star-shaped on (0, ∞). In this paper, the problem of testing H0: F = *G against H1: F ⩽ *G and F ≠ *G is considered in both cases when G is known and when G is unknown. We propose a new test based on U-statistics and obtain the asymptotic distribution of the test statistics. The new test is compared with some well-known tests in the literature. In addition, we apply our test to a real data set in the context of reliability.

Suggested Citation

  • Muhyiddin Izadi & Baha-Eldin Khaledi & Chin-Diew Lai, 2016. "On testing more IFRA ordering-II," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(15), pages 4556-4568, August.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:15:p:4556-4568
    DOI: 10.1080/03610926.2014.922987
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    Cited by:

    1. Bhattacharyya, Dhrubasish & Khan, Ruhul Ali & Mitra, Murari, 2020. "A test of exponentiality against DMTTF alternatives via L-statistics," Statistics & Probability Letters, Elsevier, vol. 165(C).

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