Serial and nonserial sign-and-rank statistics: Asymptotic representation and asymptotic nor\-mal\-ity
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Publication:2493554
DOI10.1214/009053605000000769zbMath1091.62033arXivmath/0605506OpenAlexW2030304038MaRDI QIDQ2493554
Bas J. M. Werker, Catherine Vermandele, Marc Hallin
Publication date: 21 June 2006
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0605506
signsrankswhite noisemaximal invariantgroup invariancemedian regressionmedian restrictionsHájek representation
Nonparametric hypothesis testing (62G10) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Asymptotic properties of nonparametric inference (62G20)
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Cites Work
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- Linear serial rank tests for randomness against ARMA alternatives
- Asymptotic methods in statistical decision theory
- Optimal rank-based procedures for time series analysis: testing an ARMA model against other ARMA models
- Time series analysis via rank order theory: Signed-rank tests for ARMA models
- Aligned rank tests for linear models with autocorrelated error terms
- Galton, Edgeworth, Frisch, and prospects for quantile regression in econometrics
- Semi-parametric efficiency, distribution-freeness and invariance
- Quasi-Likelihood for Median Regression Models
- Approximation Theorems of Mathematical Statistics
- Semiparametrically Efficient Inference Based on Signs and Ranks for Median-Restricted Models
- Nonparametric testing for time series: A bibliography
- Limiting behavior of U-statistics for stationary, absolutely regular processes
- An Adaptive, Rate-Optimal Test of Linearity for Median Regression Models
- Median regression and the missing information principle
- ASYMPTOTICALLY EFFICIENT MEDIAN REGRESSION IN THE PRESENCE OF HETEROSKEDASTICITY OF UNKNOWN FORM
- Asymptotic distribution of simple linear rank statistics for testing symmetry