A pioneering monograph on tensor methods applied to distributional problems arising in statistics this work constitutes a valuable reference for graduate students and professional statisticians prerequisites include some knowledge of linear algebra eigenvalue decompositions and linear models as . Tensor methods in statistics peter mccullagh department of statistics the university of chicago mathematical symbol tensor analysis it is claimed despite all evidence statistics and bartlett factors makes use only of material in chapters 2 and 3 chapter 8 dealing with ancillary statistics makes consider. This book provides a systematic development of tensor methods in statistics beginning with the study of multivariate moments and cumulants the effect on moment arrays and on cumulant arrays of making linear or affine transformations of the variables is studied. This book provides a systematic development of tensor methods in statistics beginning with the study of multivariate moments and cumulants second edition a primer of ecological statistics 2nd edition fundamentals of applied multidimensional scaling for educational and psychological research schaums outline of trigonometry 6th edit . For details on the mathematics of the method see schwartzman dougherty taylor mrm 2005 pdf or pubmed edit lognormal model for the full diffusion tensor the log normal distribution for positive definite matrices provides a mathematically valid model for the full diffusion tensor
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