YI Xiu-lon
Abstract
Let random variable X follow power distribution with parameter a,and X1:n,X2:,…,X n:n be its order statistics,confidence intervals of parameter a and the asymptotic distributions of X1:n and X n:n are obtained.For a fixed integer k1,the asymptotic distributions of X k:n and X n-i+1:n are also obtained.
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Let random variable X follow power distribution with parameter a,and X1:n,X2:,…,X n:n be its order statistics,confidence intervals of parameter a and the asymptotic distributions of X1:n and X n:n are obtained.For a fixed integer k1,the asymptotic distributions of X k:n and X n-i+1:n are also obtained.
Key concepts: Mathematics, Order statistic, Statistics, Distribution (mathematics), Random variable, Asymptotic distribution, Order (exchange), Confidence interval