Eigenvalues of a Fredholm integral operator and applications to problems of statistical inference
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Publication:1358739
DOI10.1216/jiea/1181075971zbMath0885.45001OpenAlexW2065959846MaRDI QIDQ1358739
Publication date: 5 April 1998
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jiea/1181075971
Linear regression; mixed models (62J05) Parametric hypothesis testing (62F03) Fredholm integral equations (45B05) Asymptotic properties of parametric tests (62F05) Eigenvalue problems for integral equations (45C05)
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Precise small deviations in \(L_2\) of some Gaussian processes appearing in the regression context ⋮ Inference for single and multiple change-points in time series
Cites Work
- Asymptotic theory of a test for the constancy of regression coefficients against the random walk alternative
- Tests for parameter changes at unknown times in linear regression models
- Properties of sequences of partial sums of polynomial regression residuals with applications to tests for change of regression at unknown times
- Distributions of Bayes-type change-point statistics under polynomial regression
- Residual partial sum limit process for regression models with applications to detecting parameter changes at unknown times
- Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
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