Pitman Closest Estimators Based on Convex Linear Combinations of Two Contiguous Order Statistics

DOI10.1007/978-3-319-25433-3_2zbMath1336.62237OpenAlexW2336151026MaRDI QIDQ2806324

R. L. Mason, Narayanaswamy Balakrishnan, Jerome P. Keating, Katherine F. Davies

Publication date: 17 May 2016

Published in: Ordered Data Analysis, Modeling and Health Research Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-25433-3_2

zbMATH Keywords

order statisticslocation-scale familyPitman closenessconvex linear estimatorprobabilities of closeness

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Cites Work

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• Pitman closeness of sample median to population median
• Simultaneous closeness among order statistics to population quantiles
• Computation of optimal plotting points based on Pitman closeness with an application to goodness-of-fit for location-scale families
• Pitman closeness, monotonicity and consistency of best linear unbiased and invariant estimators for exponential distribution under Type II censoring
• Comparison of Linear Estimators Using Pitman's Measure of Closeness
• Order Statistics
• LEAST-SQUARES ESTIMATION OF LOCATION AND SCALE PARAMETERS USING ORDER STATISTICS

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