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  • 1.
    Basu, A.P
    et al.
    Department of Statistics, University of Missouri, Columbia, MO, USA.
    Ebrahimi, Nader
    Nothern Illinois University, USA.
    Klefsjö, Bengt
    Luleå University of Technology, Department of Business Administration, Technology and Social Sciences, Business Administration and Industrial Engineering.
    Multivariate harmonic new better than used in expectation distributions1983In: Scandinavian Journal of Statistics, ISSN 0303-6898, E-ISSN 1467-9469, Vol. 10, no 1, p. 19-25Article in journal (Refereed)
    Abstract [en]

    Various definitions of multivariate harmonic new better than used in expectation (MHNBUE) life distributions are introduced and their interrelationships are studied. The definitions are multivariate generalizations of the univariate aging property HNBUE which is weaker than the new better than used in expectation (NBUE) property. Various closure properties of the different MHNBUE classes are proved. Some examples are also given to illustrate the relationships between our MHNBUE properties and the MNBUE properties presented by Buchanan and Singpurwalla (1977). We also study the dual multivariate harmonic new worse than used in expectation (MHNWUE) classes

  • 2.
    Klefsjö, Bengt
    Luleå University of Technology, Department of Business Administration, Technology and Social Sciences, Business Administration and Industrial Engineering.
    HNBUE survival under some shock models1981In: Scandinavian Journal of Statistics, ISSN 0303-6898, E-ISSN 1467-9469, Vol. 8, no 1, p. 39-47Article in journal (Refereed)
    Abstract [en]

    Suppose that a device is subjected to shocks governed by a counting process N={N(t):t⩾O}. The probability that the device survives beyond t is then H¯(t)=Σk=O∞P(N(t)=k)P¯k, where P¯k is the probability of surviving k shocks. In this paper the author proves that H¯(t) is HNBUE (HNWUE), i.e. ∫t∞H¯(x)dx⩽(⩾)μexp(-t/ν) for t⩾O, where μ=∫O∞H¯(x)dx, under some different conditions on N and (P¯k)k=O∞. For instance the author studies the case when the inter-arrival times between the shocks are dependent and HNBUE (HNWUE). This situation includes the cases when N is a Poisson process or a birth process. Further a certain cumulative damage model is studied (14 refs.)

  • 3.
    Klefsjö, Bengt
    Luleå University of Technology, Department of Business Administration, Technology and Social Sciences, Business Administration and Industrial Engineering.
    On aging properties and total time on test transforms1982In: Scandinavian Journal of Statistics, ISSN 0303-6898, E-ISSN 1467-9469, Vol. 9, no 1, p. 37-41Article in journal (Refereed)
    Abstract [en]

    Barlow and Campo (1975) presented the Total Time of Test (TTT-)transform as a tool for identification of failure distribution models. Since then the TTT-transform has proved to be useful also in several other connections. Recently Barlow (1979) discussed relationships between the TTT-transform and the aging properties IFR and IFRA. The author note presents some relationships between the TTT-transform and other aging properties, e.g. DMRI, HNBUE and heavy-tailedness (17 refs.)

  • 4.
    Klefsjö, Bengt
    Luleå University of Technology, Department of Business Administration, Technology and Social Sciences, Business Administration and Industrial Engineering.
    Testing exponentiality against HNBUE1983In: Scandinavian Journal of Statistics, ISSN 0303-6898, E-ISSN 1467-9469, Vol. 10, no 2, p. 65-75Article in journal (Refereed)
  • 5.
    Vännman, Kerstin
    et al.
    Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
    Kotz, Samuel
    University of Maryland.
    A superstructure of capability indices: distributional properties and implications1995In: Scandinavian Journal of Statistics, ISSN 0303-6898, E-ISSN 1467-9469, Vol. 22, no 4, p. 477-491Article in journal (Refereed)
    Abstract [en]

    A family of capability indices, containing the indices Cp, Cpk, Cpm, and Cpmk, has earlier been defined by {\it K. Vännman} [Stat. Sin. 5, No. 2, 805-820 (1995). for the case of two-sided specification intervals. By varying the parameters of the family various indices with suitable properties can be obtained. Under the assumption of normality an explicit form of the distribution of the family of the estimated indices is provided. Numerical investigations are made to explore the behavior of the estimators of the indices for different values of the parameters. A decision rule, based on the estimator, that can be used to determine whether the process can be considered capable or not is provided and suitable criteria for choosing an index from the family are suggested.

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