Currently browsing: Items authored or edited by Frank Critchley

Critchley, Frank and Marriott, Paul (2017). On the Limiting Behaviour of the Fundamental Geodesics of Information Geometry. Entropy, 19(10), article no. 524.

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Nielsen, Frank; Critchley, Frank and Dodson, Christopher T. J. eds. (2017). Computational Information Geometry For Image and Signal Processing. Signals and Communication Technology. Cham: Springer.

Critchley, Frank and Marriott, Paul (2016). Information Geometry and Its Applications: An Overview. In: Nielsen, Frank; Critchley, Frank and Dodson, Christopher T. J. eds. Computational Information Geometry: For Image and Signal Processing. Signals and Communication Technology. Cham: Springer, pp. 1–31.

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Anaya-Izquierdo, Karim; Critchley, Frank; Marriott, Paul and Vos, Paul (2016). Towards the Geometry of Model Sensitivity: An Illustration. In: Nielsen, Frank; Critchley, Frank and Dodson, Christopher T. J. eds. Computational Information Geometry. Signals and Communication Technology. Cham: Springer, pp. 33–62.

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Anaya-Izquierdo, Karim; Critchley, Frank; Marriott, Paul and Vos, Paul (2016). On the Geometric Interplay Between Goodness-of-Fit and Estimation: Illustrative Examples. In: Nielsen, Frank; Critchley, Frank and Dodson, Christopher T. J. eds. Computational Information Geometry: For Image and Signal Processing. Signals and Communication Technology. Cham: Springer, pp. 63–77.

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Marriott, Paul; Sabolova, Radka; Van Bever, Germain and Critchley, Frank (2016). The Information Geometry of Sparse Goodness-of-Fit Testing. Entropy, 18(12) p. 421.

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Critchley, F. and Marriott, P. (2016). Computing with Fisher geodesics and extended exponential families. Statistics and Computing, 26(1-2) pp. 325–332.

Marriott, Paul; Sabolova, Radka; Van Bever, Germain and Critchley, Frank (2015). Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling. In: Geometric Science of Information (Nielsen, Frank and Barbaresco, Frédéric eds.), Lecture Notes in Computer Science, Springer International Publishing, pp. 569–576.

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Wang, Qin; Yin, Xiangrong and Critchley, Frank (2015). Dimension reduction based on the Hellinger integral. Biometrika, 102(1) pp. 95–106.

Bove, Giuseppe; Critchley, Frank; Sabolova, Radka and Van Bever, Germain (2015). On ANOVA-Like Matrix Decompositions. In: Nordhausen, Klaus and Taskinen, Sara eds. Modern Nonparametric, Robust and Multivariate Methods. Springer International Publishing, pp. 425–439.

Critchley, Frank and Marriott, Paul (2014). Computational information geometry in statistics: theory and practice. Entropy, 16(5) pp. 2454–2471.

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Anaya-Izquierdo, Karim; Critchley, Frank and Marriott, Paul (2014). When are first-order asymptotics adequate? A diagnostic. Stat, 3(1) pp. 17–22.

Anaya Izquierdo, Karim; Critchley, Frank; Marriott, Paul and Vos, Paul (2013). Computational information geometry in statistics: foundations. In: Geometric Science of Information, 28-30 Aug 2013, École des Mines, Paris.

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Anaya Izquierdo, Karim; Critchley, Frank; Marriott, Paul and Vos, Paul (2013). Computational information geometry in statistics: mixture modelling. In: Geometric Science of Information, 28-30 Aug 2013, École des Mines, Paris.

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Garthwaite, Paul H.; Critchley, Frank; Anaya Izquierdo, Karim and Mubwandarikwa, Emmanuel (2012). Orthogonalization of vectors with minimal adjustment. Biometrika, 99(4) pp. 787–798.

Albers, C. J.; Critchley, F. and Gower, J. C. (2011). Applications of quadratic minimisation problems in statistics. Journal of Multivariate Analysis, 102(3) pp. 714–722.

Albers, C.J.; Critchley, F. and Gower, J. C. (2011). Quadratic minimisation problems in statistics. Journal of Multivariate Analysis, 102(3) pp. 698–713.

Anaya-Izquierdo, Karim; Critchley, Frank and Vines, Karen (2011). Orthogonal simple component analysis: a new, exploratory approach. Annals of Applied Statistics, 5(1) pp. 486–522.

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Critchley, Frank; Schyns, Michael; Haesbroeck, Gentiane; Fauconnier, Cecile; Lu, Guobing; Atkinson, Richard A. and Wang, Dong Qian (2010). A relaxed approach to combinatorial problems in robustness and diagnostics. Statistics and Computing, 20(1) pp. 99–115.

Critchley, F.; Schyns, M. and Haesbroeck, G. (2010). RelaxMCD: Smooth optimisation for the Minimum Covariance Determinant estimator. Computational Statistics and Data Analysis, 54(4) pp. 843–857.

Tyler, David E.; Critchley, Frank; Dümbgen, Lutz and Oja, Hannu (2009). Invariant co-ordinate selection (with discussion). Journal of the Royal Statistical Society: Series B (Statistical Methodology), 71(3) pp. 549–592.

Critchley, Frank and Jones, M. C. (2008). Asymmetry and gradient asymmetry functions: density-based skewness and kurtosis. Scandinavian Journal of Statistics, 35(3) pp. 415–437.

Boente, Graciela; Critchley, Frank and Orellana, Liliana (2007). Influence functions of two families of robust estimators under proportional scatter matrices. Statistical Methods and Applications, 15(3) pp. 295–327.

Albers, Casper; Critchley, Frank and Gower, John (2007). Group average representations in Euclidean distance cones. In: Brito, Paula; Bertrand, Patrice; Cucumel, Gucumel and de Carvalho, Francisco eds. Selected Contributions in Data Analysis and Classification. Studies in Classification, Data Analysis, and Knowledge Organization. Berlin, Germany: Springer, pp. 445–454.

Wang, Dong Q.; Critchley, F. and Liu, Ivy (2004). Diagnostic analysis and perturbations in a clustered sampling model. Communications in Statistics - Theory and Methods, 33(11) pp. 2709–2721.

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Critchley, Frank; Schyns, Michael; Haesbroeck, Gentiane; Kinns, David; Atkinson, Richard A. and Lu, Guobing (2004). The case sensitivity function approach to diagnostic and robust computation: a relaxation strategy. In: Antoch, Jaromir ed. Proceedings in Computational Statistics : 16th Symposium Held in Prague, Czech Republic, 2004. Physica-Verlag Heidelberg, pp. 113–125.

Critchley, Frank and Marriott, Paul (2004). Data-informed influence analysis. Biometrika, 91(1) pp. 125–140.

Wang, Dong Q.; Critchley, F. and Smith, Peter J. (2003). The multiple sets of deletion measures and masking in regression. Communications in Statistics - Theory and Methods, 32(2) pp. 407–413.

Critchley, Frank (2003). On ziggurats and dendrograms. In: Schader, Martin; Gaul, Wolfgang and Vichi, Maurizio eds. Between data science and applied data analysis: Proceedings of the 26th annual conference of the Gesellschaft für Klassifikation e.V. Studies in classification, data analysis, and knowledge organization. Springer, pp. 191–200.

Critchley, Frank (2002). Discussion of 'Recent advances in dimension reduction for regression'. In: 2002 Proceedings of American Statistical Association meeting, 11-15 Aug 2002, New York.

Critchley, Frank; Marriott, Paul and Salmon, Mark (2002). On preferred point geometry in statistics. Journal of Statistical Planning and Inference, 102(2) pp. 229–245.

Critchley, Frank (2002). What is the dimension of a dendrogram? In: Proceedings of the 9th Congress of the French Classification Society, 2002, Toulouse.

Critchley, Frank; Atkinson, Richard A.; Lu, Guobing and Biazi, Elenice (2001). Influence analysis based on the case sensitivity function. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 63(2) pp. 307–323.

Cook, R. Dennis and Critchley, Frank (2000). Identifying regression outliers and mixtures graphically. Journal of the American Statistical Association, 95(451) pp. 781–794.

Critchley, Frank; Marriott, Paul and Salmon, Mark (2000). An elementary account of Amari's expected geometry. In: Marriott, Paul and Salmon, Mark eds. Applications of Differential Geometry to Econometrics. Cambridge, U.K.: Cambridge University Press, pp. 294–315.

Critchley, Frank (2000). On a framework for dissimilarity analysis. In: Gaul, Wolfgang; Opitz, Otto and Schader, Martin eds. Data Analysis: Scientific Modeling and Practical Application. Studies in Classification, Data Analysis, and Knowledge Organization. Berlin, Germany: Springer-Verlag, pp. 121–134.

Wang, Dong Q. and Critchley, F. (2000). Multiple deletion measures and conditional influence in regression model. Communications in Statistics - Theory and Methods, 29(11) pp. 2391–2404.

Critchley, F. (2000). On an framework for dissimilarity analysis. In: Gaul, Wolfgang; Optiz, Otto and Schader, Martin eds. Data Analysis: Scientific Modelling and Practical Application. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, pp. 121–134.