(2001). Weak Convergence of Random Extremes from Non-identical Distributions Under General Normalization. The Egyptian Statistical Journal, 45(2), 182-198. doi: 10.21608/esju.2001.313814
. "Weak Convergence of Random Extremes from Non-identical Distributions Under General Normalization". The Egyptian Statistical Journal, 45, 2, 2001, 182-198. doi: 10.21608/esju.2001.313814
(2001). 'Weak Convergence of Random Extremes from Non-identical Distributions Under General Normalization', The Egyptian Statistical Journal, 45(2), pp. 182-198. doi: 10.21608/esju.2001.313814
Weak Convergence of Random Extremes from Non-identical Distributions Under General Normalization. The Egyptian Statistical Journal, 2001; 45(2): 182-198. doi: 10.21608/esju.2001.313814
Weak Convergence of Random Extremes from Non-identical Distributions Under General Normalization
In this paper we study the weak convergence of the generally normalized extremes (extremes under nonlinear monotone normalization) of random number of independent (non-identically) random variables. When the random sample size is assumed to be converged in probability and the interrelation between the basic variables and their random size is not restricted, the limit forms as well as the sufficient conditions of convergence are derived. Moreover, when the random sample size is assumed to be converged weakly and independent of the basic variables, the necessary and sufficient conditions for the convergence are derived.
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