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Multivariate or Multivariable Regression? [PDF]
American Journal of Public Health, 2013 The terms multivariate and multivariable are often used interchangeably in the public health literature. However, these terms actually represent 2 very distinct types of analyses. We define the 2 types of analysis and assess the prevalence of use of the statistical term multivariate in a 1-year span of articles published in the American Journal of ...
Bertha, Hidalgo, Melody, Goodman
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The Annals of Statistics, 1976 For univariate distributions there is a generally accepted definition of unimodality due to Khintchine which requires the existence of a number $a$, called vertex, such that the distribution function is convex on $(-\infty, a)$ and concave on $(a, \infty)$.
Dharmadhikari, S. W., Jogdeo, Kumar
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Visualizing Multivariate Selection [PDF]
Evolution, 1989 Recent developments in quantitative-genetic theory have shown that natural selection can be viewed as the multivariate relationship between fitness and phenotype. This relationship can be described by a multidimensional surface depicting fitness as a function of phenotypic traits.
Patrick C, Phillips, Stevan J, Arnold
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Journal of Physics A: Mathematical and TheoreticalAbstract The bivariate classical fidelity is a widely used measure of the similarity of two probability distributions. There exist a few extensions of the notion of the bivariate classical fidelity to more than two probability distributions; herein we call these extensions multivariate classical fidelities, with some examples being the ...
Theshani Nuradha +3 more
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Journal of the Royal Statistical Society Series B: Statistical Methodology, 1982 Abstract Multivariate regression is concerned with the relationship between two sets of variables. The two sets of variables are treated asymmetrically. The response set is regarded as random and the explanatory set treated as if it is fixed, even though in reality both may be random.
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Multivariate pade approximants
Journal of Mathematical Analysis and Applications, 1983 AbstractFor an operator F: Rn → R, analytic in the origin, the notion of (abstract multivariate Padé-approximant (APA) is introduced, by making use of abstract polynomials. The classical Padé-approximant (n = 1) is a special case of the multivariate theory and many interesting properties of classical Padé-approximants remain valid such as covariance ...
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Multivariate Liouville distributions, III
Journal of Multivariate Analysis, 1992 Summary: We use the multivariate Liouville distributions to generalize many aspects of the classical approach to statistical reliability theory. Using the results of part I [J. Multivariate Anal. 23, 233-256 (1987; Zbl 0636.62038)], we show that the assumption of independent, identically distributed, exponential data can often be replaced by the more ...
Gupta, Rameshwar D +1 more
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Multivariate Stochastic Volatility [PDF]
, 2009 We provide a detailed summary of the large and vibrant emerging literature that deals with the multivariate modeling of conditional volatility of financial time series within the framework of stochastic volatility. The developments and achievements in this area represent one of the great success stories of financial econometrics. Three broad classes of
Siddhartha Chib +2 more
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