Distribution of smallest log-normal and gamma extremes
Copyright policy )Distribution of smallest log-normal and gamma extremes
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).
Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Asymptotic distribution theory in statistics, Order statistics; empirical distribution functions, Exact distribution theory in statistics
Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Asymptotic distribution theory in statistics, Order statistics; empirical distribution functions, Exact distribution theory in statistics
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