On the uniform asymptotic joint normality of sample quantiles

DOI10.1007/BF02479736zbMath0313.62017OpenAlexW2131602998MaRDI QIDQ1220325

Sadao Ikeda, Tadashi Matsunawa

Publication date: 1972

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02479736

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)

Related Items (7)

Asymptotic independence of distributions of normalized order statistics of the underlying probability measure ⋮ Uniform Phi-equivalence of probability distributions based on information and related measures of discrepancy ⋮ Uniform asymptotic joint normality of sample quantiles in censored cases ⋮ On the error evaluation of the joint normal approximation for sample quantiles ⋮ Some criteria for uniform asymptotic equivalence of real probability distributions ⋮ Gaussian process approximations for multicolor Pólya urn models ⋮ Uniform asymptotic joint normality of a set of increasing number of sample quantiles

Cites Work

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• Asymptotic equivalence of probability distributions with applications to some problems of asymptotic independence
• Asymptotic equivalence of real probability distributions
• The asymptotic joint distribution of an increasing number of sample quantiles
• On asymptotic independence of order statistics
• On Some Useful "Inefficient" Statistics

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