Title: Spline Transformations: Three New Diagnostic Aids for the Statistical Data‐Analyst
Abstract: Journal of the Royal Statistical Society: Series B (Methodological)Volume 33, Issue 1 p. 1-37 ArticleFree Access Spline Transformations: Three New Diagnostic Aids for the Statistical Data-Analyst Liliana I. Boneva, Liliana I. Boneva University of CambridgeAnn Horton Visiting Research Fellow of Newnham College, Cambridge, 1969–70.Search for more papers by this authorDavid Kendall, David Kendall University of CambridgeSearch for more papers by this authorIvan Stefanov, Ivan Stefanov University of CambridgeSearch for more papers by this author Liliana I. Boneva, Liliana I. Boneva University of CambridgeAnn Horton Visiting Research Fellow of Newnham College, Cambridge, 1969–70.Search for more papers by this authorDavid Kendall, David Kendall University of CambridgeSearch for more papers by this authorIvan Stefanov, Ivan Stefanov University of CambridgeSearch for more papers by this author First published: January 1971 https://doi.org/10.1111/j.2517-6161.1971.tb00855.xCitations: 38 AboutPDF ToolsExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat References Ahlberg, J. H., Nilson, E. N. and Walsh, J. L. (1967). The Theory of Splines and their Applications. New York: Academic Press. T. N. E. Greville, ed. (1969). Theory and Applications of Spline Functions. New York: Academic Press. I. J. Schoenberg, ed. (1969). Approximations with Special Emphasis on Spline Functions. New York: Academic Press. (b) Works referred to specifically in the text. Bartlett, M. S. (1963a). Statistical estimation of density functions. Sankhyā (A), 25, 245– 254. Bartlett, M. S. (1963b). The spectral analysis of point processes. J. R. Statist. Soc., B, 25, 264– 296. Bartlett, M. S. (1964). The spectral analysis of two-dimensional point processes. Biometrika, 51, 299– 311. Bartlett, M. S. (1967). The spectral analysis of line processes. Proc. Fifth Berkeley Symposium, 3, 135– 153. Bliss, C. I. (1967). Statistics in Biology, Vol. I. New York: McGraw-Hill. Boneva, L. I. (1971). Secular variations in the age-specific birth-rate for Bulgarian women (in preparation). Boneva, L. I. and Kendall, D. G. (1971). The spline chart (in preparation). Boneva, L. I., Kendall, D. G. and Lambert, J. A. (1971). The statspline programs (in preparation). Cox, D. R. and Lewis, P. A. W. (1970). Multivariate point processes. Proc. Sixth Berkeley Symposium (to be published). Daniels, H. E. (1962). The estimation of spectral densities. J. R. Statist. Soc., B, 24, 185– 198. Davidson, R. (1968). Some Arithmetic and Geometry in Probability Theory. Ph.D. thesis, University of Cambridge. Davidson, R. (1970). Construction of line processes: second order properties. Isvest. Akad. Nauk A.S.S.R. (Matem.), 5, 219– 234. Kendall, D. G. (1971). Histosplines and spline transforms: the mathematical theory (in preparation). Krickeberg, K. (1970). Invariance properties of the correlation measure of line processes. Isvest. Akad. Nauk A.S.S.R. (Matem.), 5, 251– 262. Maguire, B. A., Pearson, E. S. and Wynn, A. H. A. (1952). The time intervals between industrial accidents. Biometrika, 39, 168– 180. Nadaraya, E. A. (1963). On estimation of density functions of random variables. Soobshch. Akad. Nauk Gruzin. SSR, 32, 277– 280. Nadaraya, E. A. (1965). On nonparametric estimates of density functions and regression curves. Teoriya Veroyatnost., 10, 199– 203. Nadaraya, E. A. (1970). Remarks on nonparametric estimates of density functions and regression curves. Teoriya Veroyatnost., 15, 139– 142. Parzen, E. (1962). On estimation of a probability density and mode. Ann. Math. Statist., 33, 1065– 1076. Pearson, E. S. (1956). Some aspects of the geometry of statistics. J. R. Statist. Soc., A, 119, 125– 149. Rosenblatt, M. (1956). Remarks on some nonparametric estimates of a density function. Ann. Math. Statist., 27, 832– 837. Ross, A. S. C. (1950). Philological probability problems. J. R. Statist. Soc., B, 12, 19– 59. van Ryzin, J. (1970). On a histogram method of density estimation (to be published). Simeonov, E. D. (1963). Une méthode à calculer la fonction de fréquence d'un processus aléatoir, qui depend d'un paramètre τ. Bull. de l'Inst. de Math. de l'Acad. des Sciences de Bulgarie, 7. Simeonov, E. D. (1965). On a method of interpolation and on a new parameter of birth intensity. Proc. World Population Congress 1965. Stephens, M. A. (1969). Techniques for directional data (to be published). Whitaker, E. T. and Robinson, G. (1937). The Calculus of Observations, 2nd edn. London: Blackie & Son. Whittle, P. (1957). Curve and periodogram smoothing. J. R. Statist. Soc., B, 19, 38– 47. Whittle, P. (1958). On the smoothing of probability density functions. J. R. Statist. Soc., B, 20, 334– 343. Citing Literature Volume33, Issue1January 1971Pages 1-37 This article also appears in:Discussion Papers ReferencesRelatedInformation
Publication Year: 1971
Publication Date: 1971-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 159
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