Estimation and Testing of Hypotheses about the Quantile Function of the Normal Distribution

DOI10.1080/02522667.1988.10698909zbMath0638.62031OpenAlexW1995367792MaRDI QIDQ3779583

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Publication date: 1988

Published in: Journal of Information and Optimization Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02522667.1988.10698909

zbMATH Keywords

order statisticsuniform minimum variance unbiased estimatorasymptotically best linear unbiased estimatorTables of optimum spacingsquantile-functionasymptotically minimum length confidence intervaltwo-parameter normal distribution

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30) Statistical tables (62Q05) Asymptotic properties of parametric tests (62F05)

Related Items (1)

Efficient Estimation of the PDF and the CDF of the Exponentiated Gumbel Distribution

Cites Work

• Unnamed Item
• Estimating the quantile function of a location-scale family of distributions based on few selected order statistics
• A density-quantile function approach to optimal spacing selection
• Approximation Theorems of Mathematical Statistics
• Estimating quantiles using optimally selected order statistics
• Quantile interval estimation
• A new distribution-free quantile estimator
• A generalized quantile estimator
• On Some Useful "Inefficient" Statistics

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