Estimating the quantile function of a location-scale family of distributions based on few selected order statistics

DOI10.1016/0378-3758(83)90063-0zbMath0533.62042OpenAlexW2126042854MaRDI QIDQ789845

Dale Umbach, A. K. Md. Ehsanes Saleh, M. Masoom Ali

Publication date: 1983

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(83)90063-0

zbMATH Keywords

order statisticsexponential distributionPareto distributionquantile functionlocation-scale familydouble exponential distributionasymptotically best linear unbiased estimatornonregular distributionoptimal spacing

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Order statistics; empirical distribution functions (62G30)

Related Items (6)

Estimation of parameters of location-scale family of distributions in complete and type ii censored samples ⋮ Conservative Spacings for the Estimation of Functions of Location and Scale ⋮ Estimation and Testing of Hypotheses about the Quantile Function of the Normal Distribution ⋮ Linear Estimation and Tests of Quantiles of Logistic Distribution Based on Selected Order Statistics ⋮ Efficient Estimation of the PDF and the CDF of the Exponentiated Gumbel Distribution ⋮ On calculating the Fisher information in order statistics

Cites Work

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• A density-quantile function approach to optimal spacing selection
• Estimation from Life Test Data
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• Nonparametric Statistical Data Modeling
• Analysis of Extreme-Value Data by Sample Quantiles for Very Large Samples
• Simultaneous Estimation of the Parameters of the Extreme Value Distribution by Sample Quantiles
• Asymptotic Optimum Quantiles for the Estimation of the Parameters of the Negative Exponential Distribution
• Estimators and Exact Confidence Bounds for Weibull Parameters Based on a Few Ordered Observations
• On Some Useful "Inefficient" Statistics

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