Statistische Hefte

, Volume 16, Issue 2, pp 105–114 | Cite as

Distribution of smallest log-normal and gamma extremes

  • K. V. Bury


The asymptotic distribution of the first order statistic X(1) of log-Normal and Gamma samples is considered. The parameters of this extreme value asymptote (Weibull distribution) are approximated in terms of the initial sample size n and the parameters of the initial log-Normal and Gamma measurement models. The resulting asymptotic model of X(1) is found to be a reasonable and computationally convenient approximation to the exact model of X(1).


Weibull Distribution Asymptotic Distribution Weibull Model Exact Model Gamma Model 
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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • K. V. Bury
    • 1
  1. 1.Department of Mechanical EngineeringThe University of British ColumbiaVancouver 8Canada

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