Pitman closeness of current records for location-scale families

DOI10.1016/j.spl.2010.06.010zbMath1195.62063OpenAlexW2004598137MaRDI QIDQ1957147

Jafar Ahmadi, Narayanaswamy Balakrishnan

Publication date: 24 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.spl.2010.06.010

zbMATH Keywords

quantileslocation-scale familyPitman closenesscurrent recordsPitman closer estimator

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Statistics of extreme values; tail inference (62G32)

Related Items (11)

Quantile estimation based on modified ranked set sampling schemes using Pitman closeness ⋮ 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 ⋮ The small sample properties of the restricted principal component regression estimator in linear regression model ⋮ Pitman closeness of record values from two sequences to population quantiles ⋮ 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 ⋮ Comparison of some estimators under the Pitman's closeness criterion in linear regression model ⋮ 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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• Pitman closeness of record values to population quantiles
• Pitman closeness of sample median to population median
• Confidence intervals for quantiles in terms of record range
• Distribution-free confidence intervals for quantile intervals based on current records
• On Pitman's measure of closeness ofk-records
• Preservation of some reliability properties by certain record statistics
• Pitman Closeness of Order Statistics to Population Quantiles

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