Design and choice of projection indices

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[1]  Simon Morton,et al.  Interpretable projection pursuit , 1989 .

[2]  Measuring multimodality , 1992 .

[3]  M. C. Jones Discretized and Interpolated Kernel Density Estimates , 1989 .

[4]  N. L. Johnson,et al.  Multivariate Analysis , 1958, Nature.

[5]  B. Silverman,et al.  Kernel Density Estimation Using the Fast Fourier Transform , 1982 .

[6]  P. Switzer,et al.  A transformation for ordering multispectral data in terms of image quality with implications for noise removal , 1988 .

[7]  R. Fisher The Advanced Theory of Statistics , 1943, Nature.

[8]  Detecting Structures by Means of Projection Pursuit , 1988 .

[9]  William H. Press,et al.  Numerical recipes , 1990 .

[10]  Brian D. Ripley,et al.  Stochastic Simulation , 2005 .

[11]  I. Good,et al.  Density Estimation and Bump-Hunting by the Penalized Likelihood Method Exemplified by Scattering and Meteorite Data , 1980 .

[12]  Alexander A. Lubischew On the Use of Discriminant Functions in Taxonomy , 1962 .

[13]  R. Sibson Information radius , 1969 .

[14]  S. Kotz,et al.  Symmetric Multivariate and Related Distributions , 1989 .

[15]  Vincent Kanade,et al.  Clustering Algorithms , 2021, Wireless RF Energy Transfer in the Massive IoT Era.

[16]  Deborah F. Swayne,et al.  Xgobi: A Dynamic Graphics Program Implemented in X With a Link to S , 1992 .

[17]  Andreas Buja,et al.  Direction and Motion Control in the Ground Tour , 1992 .

[18]  P. Hall On Polynomial-Based Projection Indices for Exploratory Projection Pursuit , 1989 .

[19]  J. L. Hodges,et al.  The Efficiency of Some Nonparametric Competitors of the t-Test , 1956 .

[20]  Jürgen Eichenauer-Herrmann,et al.  Inversive congruential pseudorandom numbers : a tutorial , 1992 .

[21]  D. R. Cox,et al.  NOTES ON THE ANALYSIS OF MIXED FREQUENCY1 DISTRIBUTIONS , 1966 .

[22]  David W. Scott The New S Language , 1990 .

[23]  L. Tierney Xlisp-Stat - A Statistical Environment Based on the XLISP Language (Version 2.0) , 1988 .

[24]  John W. Tukey,et al.  A Projection Pursuit Algorithm for Exploratory Data Analysis , 1974, IEEE Transactions on Computers.

[25]  S. M. Ali,et al.  A General Class of Coefficients of Divergence of One Distribution from Another , 1966 .

[26]  M. Wand,et al.  EXACT MEAN INTEGRATED SQUARED ERROR , 1992 .

[27]  I. D. Hill,et al.  An Efficient and Portable Pseudo‐Random Number Generator , 1982 .

[28]  Julia Abrahams,et al.  On the selection of measures of distance between probability distributions , 1982, Inf. Sci..

[29]  Richard Phillips Feynman,et al.  Feynman lectures on physics - Volume 1 , 1963 .

[30]  D. Donoho One-sided inference about functionals of a density , 1988 .

[31]  I. Vajda Theory of statistical inference and information , 1989 .

[32]  G. Terrell The Maximal Smoothing Principle in Density Estimation , 1990 .

[33]  J. Marron Automatic smoothing parameter selection: A survey , 1988 .

[34]  W. R. Buckland,et al.  Advanced Theory of Statistics Volume 1. , 1970 .

[35]  G. Sawitzki,et al.  Excess Mass Estimates and Tests for Multimodality , 1991 .

[36]  I. Johnstone,et al.  Variation Diminishing Transformations: A Direct Approach to Total Positivity and its Statistical Applications , 1981 .

[37]  J. B. Lee,et al.  Enhancement of high spectral resolution remote-sensing data by a noise-adjusted principal components transform , 1990 .

[38]  B. Silverman,et al.  Using Kernel Density Estimates to Investigate Multimodality , 1981 .

[39]  D. Luenberger Optimization by Vector Space Methods , 1968 .

[40]  Jürgen Lehn,et al.  A non-linear congruential pseudo random number generator , 1986 .

[41]  M. Kendall Theoretical Statistics , 1956, Nature.

[42]  J. Kruskal TOWARD A PRACTICAL METHOD WHICH HELPS UNCOVER THE STRUCTURE OF A SET OF MULTIVARIATE OBSERVATIONS BY FINDING THE LINEAR TRANSFORMATION WHICH OPTIMIZES A NEW “INDEX OF CONDENSATION” , 1969 .

[43]  R. Leighton,et al.  Feynman Lectures on Physics , 1971 .

[44]  Guy P. Nason,et al.  Using Projection Pursuit in Multispectral Image Analysis , 1992 .

[45]  George Henry Dunteman,et al.  Introduction To Multivariate Analysis , 1984 .

[46]  C. Posse An effective two-dimensional projection pursuit algorithm , 1990 .

[47]  David Williams,et al.  Probability with Martingales , 1991, Cambridge mathematical textbooks.

[48]  Jiayang Sun,et al.  Significance levels in exploratory projection pursuit , 1991 .

[49]  Christian Posse,et al.  Projection pursuit discriminant analysis for two groups , 1992 .

[50]  P. J. Green,et al.  Density Estimation for Statistics and Data Analysis , 1987 .