Empirical and rank processes of observations and residuals

DOI10.2307/3314815zbMath0566.62013OpenAlexW2056227598MaRDI QIDQ3681716

Galen R. Shorack

Publication date: 1984

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3314815

zbMATH Keywords

linear modelempirical processescontiguityresidualslinear rank statisticsrank processes

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Functional limit theorems; invariance principles (60F17)

Related Items (8)

A bootstrap version of the residual-based smooth empirical distribution function ⋮ Estimating linear functionals of the error distribution in nonparametric regression ⋮ Estimating the error distribution function in semiparametric additive regression models ⋮ Cramér-von Mises regression ⋮ Rank tests for testing randomness of a regression coefficient in a linear regression model ⋮ Estimating the innovation distribution in nonparametric autoregression ⋮ Empirical process based on the recursive residuals in functional measurement error models ⋮ Improved inference for vaccine-induced immune responses via shape-constrained methods

Cites Work

• Unnamed Item
• The empirical distribution function of residuals from generalised regression
• An efficient and robust adaptive estimator of location
• The weighted empirical process of row independent random variables with arbitrary distribution functions
• Testing goodness of fit for the distribution of errors in regression models

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