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  • Smooth function estimation  (1)
  • strength distributions  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Accelerated Test Models for System Strength Based on Birnbaum-Saunders Distributions (1999)
    Springer
    Lifetime data analysis 5 (1999), S. 133-147 
    Details
    ISSN: 1572-9249
    Keywords: carbon composite materials ; cumulative damage ; damage models ; Fisher information ; size effect ; strength distributions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Recent research in cumulative damage models for strengths of systems has yielded various statistical distributions that incorporate a system size variable and follow a generalized Birnbaum-Saunders form. These models can be unified as a three-parameter Birnbaum-Saunders-type family of distributions, where the third parameter arises from the size variable through the cumulative damage approach. In this paper, the generalized three-parameter Birnbaum-Saunders distribution is characterized, and examples of cumulative damage models for system strength that fit this form are given. Also, estimation and asymptotic theory are developed for the generalized distribution, and illustrations are presented for experimental strength data for carbon composite materials.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009649428243
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  • 2
    Electronic Resource
    Electronic Resource
    Families of smooth confidence bands for the survival function under the general random censorship model (1996)
    Springer
    Lifetime data analysis 2 (1996), S. 349-362 
    Details
    ISSN: 1572-9249
    Keywords: Right censored data ; Survival analysis ; Smooth function estimation ; coverage probability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Randomly right censored data often arise in industrial life testing and clinical trials. Several authors have proposed asymptotic confidence bands for the survival function when data are randomly censored on the right. All of these bands are based on the empirical estimator of the survival function. In this paper, families of asymptotic (1-α)100% level confidence bands are developed from the smoothed estimate of the survival function under the general random censorship model. The new bands are compared to empirical bands, and it is shown that for small sample sizes, the smooth bands have a higher coverage probability than the empirical counterparts.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00127307
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