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Identifying patients at risk in revision arthroplasty: a comprehensive single-centre analysis. [PDF]

J Orthop Surg Res
Wolf M, Lehner B, Geisbüsch A, Merle C, Walker T, Deisenhofer J.   +5 more
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On the sampling distributions of classical statistics in multivariate analysis

, 1953
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On the sampling distributions of classical statistics in multivariate analysis

On the sampling distributions of classical statistics in multivariate analysis
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EXACT DISTRIBUTION OF CERTAIN GENERAL TEST STATISTICS IN MULTIVARIATE ANALYSIS

Australian Journal of Statistics, 1986
SummaryIn this paper, exact solution of Wilks' type‐B integral equation has been obtained in its most general form as a series of weighted gamma distributions. This general result then gives the distributions of many test statistics in multivariate analysis. In particular the distributions of Wilks' Λ, the sphericity test criterion, and Bartlett's test
Tang, J., Gupta, A. K.
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Distributions of a Class of Statistics Useful in Multivariate Analysis

Journal of the American Statistical Association, 1983
Abstract In this article, exact and asymptotic distributions of a class of statistics whose moments are of a particular form have been obtained. An application to Wilks's criterion for testing a linear hypothesis is given, and it is shown by numerical comparison that the first term of the asymptotic expansion of the distribution obtained in this ...
B. N. Nagarsenker, J. Suniaga
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Asymptotic Distribution of a Class of Multivariate Rank Order Statistics^*

Calcutta Statistical Association Bulletin, 1970
P. Sen
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Multivariate probability distribution of Shanghai clay properties

Engineering Geology, 2020
In this study, a database is compiled for 11 clay parameters covering 50 sites in Shanghai with 4051 data points (labeled as SH-CLAY/11/4051). These sites are distributed in the eight districts of Shanghai covering an area of 145 km2.
Dongming Zhang, Yelu Zhou, K. Phoon, Hong-wei Huang   +3 more
semanticscholar   +1 more source

Asymptotic Distributions of Multivariate Intermediate Order Statistics

Theory of Probability & Its Applications, 1997
Summary: Let \(\{X_n= (X_n^{(1)}, \dots, X_n^{(d)})\), \(n\geq 1\}\) be independent, identically distributed random vectors with a common nondegenerate distribution function and for each \(n \geq 1\) and each \(k=1, \dots, d\), denote \(X_{1;n}^{(k)} \leq\cdots \leq X_{n;n}^{(k)}\) as the order statistics of \(X_1^{(k)}, \dots, X_n^{(k)}\).
Cheng, S (Shihong), de Haan, Laurens, Yang, J   +2 more
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Concomitants of multivariate order statistics from multivariate elliptical distributions

Communications in Statistics - Theory and Methods, 2016
ABSTRACTIn this article, we consider a (k + 1)n-dimensional elliptically contoured random vector (XT1, X2T, …, XTk, ZT)T = (X11, …, X1n, …, Xk1, …, Xkn, Z1, …, Zn)T and derive the distribution of concomitant of multivariate order statistics arising from X1, X2, …, Xk.
Roohollah Roozegar, Ahad Jamalizadeh, Alireza Nematollahi   +2 more
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Modified non-Gaussian multivariate statistical process monitoring based on the Gaussian distribution transformation

, 2020
Independent component analysis (ICA) has been applied for non-Gaussian multivariate statistical process monitoring (MSPM) for several years. As the independent components do not satisfy the multivariate Gaussian distribution, a missed alarm occurs when ...
Wenyou Du, Ying-wei Zhang, Wei Zhou
semanticscholar   +1 more source