New results on the NBUFR and NBUE classes of life distributions

Tom 36 / 2009

E. M. Shokry, A. N. Ahmed, E. A. Rakha, H. M. Hewedi Applicationes Mathematicae 36 (2009), 139-147 MSC: Primary 62N05; Secondary 60E15, 62G05, 62G10. DOI: 10.4064/am36-2-2

Streszczenie

Some properties of the “new better than used in failure rate” (NBUFR) and the “new better than used in expectation” (NBUE) classes of life distributions are given. These properties include moment inequalities and moment generating functions behaviors. In addition, nonparametric estimation and testing of the survival functions of these classes are discussed.

Autorzy

  • E. M. ShokryMinistry of Communications
    and Information Technology
    Cairo, Egypt
    e-mail
  • A. N. AhmedDepartment of Mathematical Statistics
    The Institute of Statistical Studies and Research
    Cairo University
    Cairo, Egypt
    e-mail
  • E. A. RakhaDepartment of Mathematics
    Faculty of Science, Suez Canal University
    Suez, Egypt
    e-mail
  • H. M. HewediDepartment of Mathematics
    Faculty of Science, Suez Canal University
    Suez, Egypt
    e-mail

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