Pitman closeness of sample median to population median

DOI10.1016/j.spl.2009.04.016zbMath1169.62324OpenAlexW2002343363MaRDI QIDQ840788

Jerome P. Keating, R. L. Mason, George Iliopoulos, Narayanaswamy Balakrishnan

Publication date: 14 September 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2009.04.016

Mathematics Subject Classification ID

Point estimation (62F10) Order statistics; empirical distribution functions (62G30)

Related Items (25)

Pitman closeness results for Type-I hybrid censored data from exponential distribution ⋮ Pitman Closeness Comparison of Best Linear Unbiased and Invariant Predictors for Exponential Distribution in One- and Two-Sample Situations ⋮ Simultaneous Pitman closeness of progressively type-II right-censored order statistics to population quantiles ⋮ Simultaneous Closeness ofk-Records ⋮ On the nearness of record values to order statistics from Pitman's measure of closeness ⋮ Some Pitman closeness properties pertinent to symmetric populations ⋮ The Pitman inequality for exchangeable random vectors ⋮ Computation of optimal plotting points based on Pitman closeness with an application to goodness-of-fit for location-scale families ⋮ Pitman closeness of predictors of future order statistics for two parameter exponential distribution ⋮ Pitman closeness results for type-I censored data from exponential distribution ⋮ Pitman closeness of current records for location-scale families ⋮ Pitman closeness of record values from two sequences to population quantiles ⋮ On Pitman's measure of closeness ofk-records ⋮ An odd property of sample median from odd sample sizes ⋮ On the Nearness of Records to Population Quantiles with Respect to Order Statistics in the Sense of Pitman Closeness ⋮ Pitman closeness of \(k\)-records from two sequences to progressive type-II censored order statistics ⋮ Pitman Closeness of kth Records Based on a Two-Sequence Case ⋮ Simultaneous closeness among order statistics to population quantiles ⋮ Pitman closeness of record values to population quantiles ⋮ Pitman Closest Estimators Based on Convex Linear Combinations of Two Contiguous Order Statistics ⋮ Point estimation of lower quantiles based on two-sampling scheme ⋮ Restricted estimation and testing of hypothesis in linear measurement errors models ⋮ Pitman closeness, monotonicity and consistency of best linear unbiased and invariant estimators for exponential distribution under Type II censoring ⋮ Comparison of order statistics in two-sample problem in the sense of Pitman closeness ⋮ Closeness ofk-records to Progressive Type-II Censored Order Statistics for Location-scale Families

Cites Work

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• Estimating the center of symmetry: is it always better to use larger sample sizes?
• Karlin's corollary: a topological approach to pitman's measure
• Median Unbiasedness and Pitman Closeness
• A SIMPLE IMPROVEMENT OF THE KAPLAN-MEIER ESTIMATOR
• A First Course in Order Statistics
• The Hájek convolution theorem and empirical Bayes estimation: Parametrics, semiparametrics and nonparametrics

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