Statistical Space for Multivariate Correlations

2016 ◽  
pp. 113-228
Keyword(s):  
Statistical Space ◽  
Multivariate Correlations

Reducing shear strength uncertainties in clays by multivariate correlations

2010 ◽  
Vol 47 (1) ◽  
pp. 16-33 ◽  
Author(s):  
Jianye Ching ◽  
Kok-Kwang Phoon ◽  
Yi-Chu Chen
Keyword(s):  
Shear Strength ◽  
Site Investigation ◽  
Mean Values ◽  
Reliability Based Design ◽  
Economical Design ◽  
Coefficients Of Variation ◽  
Final Design ◽  
Available Information ◽  
Undrained Shear ◽  
Multivariate Correlations

Quantifications of uncertainties in soil shear strengths, including undrained shear strength of clay, are essential for geotechnical reliability-based design. In particular, how to reduce the uncertainties in undrained shear strengths based on all available information by correlation is a practical research subject, given the considerable cost of a typical site investigation. Although it is simple to reduce the uncertainties by correlation when the information is one dimensional (or univariate), it is quite challenging to reduce the uncertainties by using multivariate information through multiple correlations. This study proposes a systematic way of achieving multivariate correlations on undrained shear strengths. A set of simplified equations are obtained through Bayesian analysis for the purpose of reducing uncertainties: the inputs to the equations are the results of in situ or laboratory tests and the outputs are the updated mean values and coefficients of variation (c.o.v.s) of the undrained shear strengths. Two case studies are used to demonstrate the consistency of the proposed simplified equations. Results show that uncertainties in undrained shear strengths can be effectively reduced by incorporating multivariate information. Given that reliability-based design can justify more economical design with reduced uncertainties, the proposed equations essentially link the value of more and better tests directly to final design savings.

scholarly journals Space-time processing of random fields of signals in radar-tracking systems using adaptive stricture of unified algorithms and elements

2020 ◽  
pp. 41-45
Author(s):  
A. P. Shovkalyuk
Keyword(s):  
Random Fields ◽  
Optimization Problems ◽  
Negative Influence ◽  
Space Time ◽  
Spatial Structures ◽  
Time Processing ◽  
The Real ◽  
Time Optimization ◽  
First Time ◽  
Statistical Space

The efficiency of synthesized optimum algorithms of processing of random fields of signals is based on adequacy of mathematical model to the real phenomena which lay the foundation in mathematical models of useful and hindered signals. The basic and principal difference of the prospective approach to the development of new theoretical positions of the scientific – methodical means of space-time processing of random fields of signals from the known one is statistical space and time optimization with exception of mutual negative influence to each other. The advantage of the proposed approach is that synthesis becomes possible for the first time by solving statistical optimization problems at the spatial and temporal stages of processing. The use of kronecker-tensor product will make it possible to replace obsolete algorithms for processing multidimensional random received signals with better and more efficient ones, taking into account the real randomness of spatial structures and satisfying modern requirements of military science.

scholarly journals Comprehensive multivariate correlations between climatic effect, metabolite-profile, antioxidant capacity and antibacterial activity of Brazilian red propolis metabolites during seasonal study

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Ticiano Gomes do Nascimento ◽  
Rodolfo Elleson dos Santos Arruda ◽  
Erika Tayse da Cruz Almeida ◽  
José Marcos dos Santos Oliveira ◽  
Irinaldo Diniz Basílio-Júnior ◽  
...  
Keyword(s):  
Antibacterial Activity ◽  
Antioxidant Capacity ◽  
Metabolite Profile ◽  
Climatic Effect ◽  
High Concentration ◽  
Climate Effect ◽  
Drought Period ◽  
Rainy Period ◽  
Vip Analysis ◽  
Multivariate Correlations

AbstractThe standardization of apiceutical products like as propolis extracts has been widely debated worldwide and variations in the propolis chemical composition are still very relevant topics for use-standardized of different propolis-type as medication by much of the world’s population. The present manuscript discuss important issues related to the climate effect and variations in propolis metabolite-profiling changes, antioxidant capacity and variations of the antibacterial activity of the Brazilian red propolis metabolites using comprehensive multivariate correlations. It was observed the increasing of guttiferones concentrations during the intense drought period and drastic decreasing in rainy period. The climate variation induced the high concentration of flavonoids in rainy period with pronounced dropped in some rainy months. The Pearson´s analysis demonstrated correlation between IC50 from DPPH and guttiferones and flavonoids concentrations. The PCA-X and Hotelling T2 test showed outliers during the months with lowest concentrations of formononetin and isoliquiritigenin was observed in antibacterial tests. The PLS-DA, OPLS-DA and VIP analysis demonstrate guttiferone E, guttiferone B, liquiritigenin, naringenin are considered important substances responsible by anti-staphylococcal activity in red propolis composition during the rainy season and drought period, but a synergistic effect with other flavonoids and isoflavonoids are not ruled out.

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