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The proposed loss aggregation provides a flexible and realistic approach to construct joint multivariate distribution of the losses by considering their interdependence.
In addition, the multivariate regional approach can also be used for obtaining the multivariate distribution of the hydrological variables when the aim is to assess the structure failure for a given return period.
The macroscale model, presented in this work, transforms surface topography into a multivariate distribution of asperity parameters and maps the microscale model's response; then it simulates the wear process via a Monte Carlo simulation, by querying the map and integrating over the interface.
For conditioned Latin hypercube sampling (cLHS) the problem is: given N sites with ancillary variables (X), select x a sub-sample of size n (n⪡N) in order that x forms a Latin hypercube, or the multivariate distribution of X is maximally stratified.
In this paper, we investigate multivariate distribution of speech signal in the time and transformed domains.
First, the multivariate distribution of the asset returns is fitted by a multivariate distribution.
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A large research effort has focused on the investigation of a univariate case of speech signal distribution; however, in this paper, we study the multivariate distributions of speech signal and its representations using the conventional distribution functions, e.g., multivariate Gaussian and multivariate Laplace, and the copula-based multivariate distributions as candidates.
The latter take into account all or some of the joint multivariate distributions of p-values.
Ultrasonographic features of TNBC and non-TNBC were compared using Fisher's exact test for univariate distributions and Yates' chi-square test for multivariate distributions of categorical data.
In practice, these methods are either limited to discrete distributions or are difficult to apply for multivariate distributions of more than 2 or 3 dimensions.
If not all, but some of the multivariate distributions of the p-values are known, it is possible to derive conservative upper bounds of the rejection probability that still give an improvement over the Bonferroni test.
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