A statistical model of the earthquake process

1983 ◽  
Vol 73 (3) ◽  
pp. 853-862
Author(s):  
J. Lomnitz-Adler
Keyword(s):  
Numerical Calculation ◽  
Analytical Solution ◽  
Statistical Model ◽  
Frequency Distribution ◽  
Stress Drop ◽  
Statistical Features ◽  
Earthquake Process

abstract A model is presented for the simulation of the statistical features of the earthquake process. An analytical solution is given for a simple case, and a numerical calculation of spatial and stress drop frequency distribution has been carried out. Extensions of the model are discussed.

scholarly journals Regional parent flood frequency distributions in Europe – Part 1: Is the GEV model suitable as a pan-European parent?

2014 ◽  
Vol 18 (11) ◽  
pp. 4381-4389 ◽  
Author(s):  
J. L. Salinas ◽  
A. Castellarin ◽  
A. Viglione ◽  
S. Kohnová ◽  
T. R. Kjeldsen
Keyword(s):  
Statistical Model ◽  
Frequency Distribution ◽  
Climatic Factors ◽  
Extreme Value ◽  
Flood Frequency ◽  
Generalized Extreme Value Distribution ◽  
Statistical Hypothesis ◽  
Generalized Extreme Value ◽  
Frequency Distributions ◽  
Hypothetical Scenario

Abstract. This study addresses the question of the existence of a parent flood frequency distribution on a European scale. A new database of L-moment ratios of flood annual maximum series (AMS) from 4105 catchments was compiled by joining 13 national data sets. Simple exploration of the database presents the generalized extreme value (GEV) distribution as a potential pan-European flood frequency distribution, being the three-parameter statistical model that with the closest resemblance to the estimated average of the sample L-moment ratios. Additional Monte Carlo simulations show that the variability in terms of sample skewness and kurtosis present in the data is larger than in a hypothetical scenario where all the samples were drawn from a GEV model. Overall, the generalized extreme value distribution fails to represent the kurtosis dispersion, especially for the longer sample lengths and medium to high skewness values, and therefore may be rejected in a statistical hypothesis testing framework as a single pan-European parent distribution for annual flood maxima. The results presented in this paper suggest that one single statistical model may not be able to fit the entire variety of flood processes present at a European scale, and presents an opportunity to further investigate the catchment and climatic factors controlling European flood regimes and their effects on the underlying flood frequency distributions.

scholarly journals Stress-Strain State Of Elastic Plate With An Arbitrary Smooth Notch

2015 ◽  
Vol 9 (4) ◽  
pp. 241-244 ◽  
Author(s):  
Ihor Kuz ◽  
Olga Kuz ◽  
Heorgij Sulym
Keyword(s):  
Numerical Calculation ◽  
Analytical Solution ◽  
Elastic Plate ◽  
Strain State ◽  
Stress Fields ◽  
Analytic Method ◽  
Relative Depth ◽  
Numerical Implementation ◽  
Numerical Variation ◽  
The Given

Abstract The paper contains comparing calculations of the stress fields in an elastic plate with notch along the arc of a circle, ellipse or parabola obtained by analytic method based on complex Kolosov-Muskhelishvili potentials and by numerical variation-difference method. These fields differ by no more than 2%, which, in particular, indicates the reliability of such numerical implementation. This discrepancy can be explained by the fact that in the analytical solution domain is unbounded, while the numerical calculation was carried out, obviously, for a finite field. The given stresses at the top of the notch along the arc of an ellipse or a parabola significantly increase with increasing of the relative depth of the notch (while increasing its depth or decreasing width).

Numerical Calculation of Axial Divergence Profiles

1991 ◽  
Vol 35 (A) ◽  
pp. 611-616
Author(s):  
R. A. Coyle
Keyword(s):  
Numerical Calculation ◽  
Analytical Solution ◽  
Ray Tracing ◽  
Exact Analytical Solution ◽  
Bragg Angle ◽  
Flat Specimen ◽  
The Third ◽  
Tracing Techniques

AbstractThe diffractometer instrumental profiles convoluted by Alexander from aberration profiles calculated using the methods developed Easterbrook, Pike and Wilson include two profiles which are not amenable to exact analytical solution. These two profiles are generated by the axial divergence and flat specimen aberrations. Using ray tracing techniques the exact profiles of these two aberrations have been computed for the Philips PW1050 and Scintag DA5 diffractometers. sample profiles at 2θ = 28°, 90° and 152° have been convoluted with the third asymmetric profile, that due to specimen transparency, and plots of the resultant profiles are shown. Shifts of the centroids and the peaks of the profiles from the true Bragg angle have also been computed and plotted over the range 2θ = 0°-180°.

Fin Efficiency of an Annular Fin Composed of a Substrate Metallic Fin and a Coating Layer

2006 ◽  
Vol 128 (8) ◽  
pp. 851-854 ◽  
Author(s):  
Ping Tu ◽  
Hideo Inaba ◽  
Akihiko Horibe ◽  
Zhongmin Li ◽  
Naoto Haruki
Keyword(s):  
Thermal Conductivity ◽  
Numerical Calculation ◽  
Temperature Distribution ◽  
Analytical Solution ◽  
Layer Thickness ◽  
Coating Layer ◽  
Fin Efficiency ◽  
Analytical Results ◽  
Annular Fin ◽  
Coating Layer Thickness

An analytical solution to a composite annular fin made of a substrate metallic fin and a coating layer has been carried out. Useful expressions for calculating temperature distribution and fin efficiency have been derived. Comparing the analytical results to those of numerical calculation, the premise for the expressions is also explored. Theoretical analyzing results show that fin efficiency of a coated fin decreases with an increase of the coating layer thickness if the thermal conductivity of coating layer is much less than that of the substrate metallic fin. Whereas, the reverse influence of the coating layer thickness on the fin efficiency appears if the thermal conductivity of the coating layer is beyond the above range.

A new robust statistical model for interpretation of differences in serial test results from an individual

2015 ◽  
Vol 53 (5) ◽  
Author(s):  
Federica Braga ◽  
Simona Ferraro ◽  
Francesca Ieva ◽  
Anna Paganoni ◽  
Mauro Panteghini
Keyword(s):  
Statistical Model ◽  
Frequency Distribution ◽  
Population Based ◽  
Reference Intervals ◽  
Test Results ◽  
Protein Distribution ◽  
Reactive Protein ◽  
Serial Test ◽  
Reference Change Value ◽  
Serial Measurements

AbstractPopulation-based reference intervals have very limited value for the interpretation of laboratory results when analytes display high biological individuality. In these cases, the longitudinal evaluation of individual results using the reference change value (RCV) is the recommended approach. However, the traditional model for RCV calculation requires a Gaussian frequency distribution of data and risks to overestimate the parameter if a correlation between within-subject serial measurements is present.We propose and validate an alternative non-parametric statistical model for interpretation of differences in serial results from an individual, overcoming data distribution and correlation issues.After describing the traditional and newly proposed statistical models, we compared them with each other using a simulation on three specific analytes displaying different concentration distributions in biological setting. We demonstrated that when analyte concentrations followed a Gaussian frequency distribution, as in the case of glycated hemoglobin, both methods can be used equally. On the contrary, if analyte concentrations present a bimodal (e.g., chromogranin A) or skewed (e.g., C-reactive protein) distribution, the information obtained by two statistical methods is different.The proposed statistical approach may be more appropriate in assessing difference between serial measurements when individual data are not normally distributed.

scholarly journals Stress strain behavior research of triangular dam using analytical and numerical methods

2018 ◽  
Vol 251 ◽  
pp. 04043
Author(s):  
Maria Kozelskaya ◽  
Daria Donskova ◽  
Vera Ulianskaya ◽  
Pavel Shvetsov
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Calculation ◽  
Analytical Solution ◽  
Inverse Method ◽  
The Finite Element Method ◽  
Strain Behavior ◽  
The Third ◽  
Comparison Of The Results ◽  
Numerical And Analytical Methods

The article deals with the calculation of triangular dams by numerical and analytical methods. The analytical solution is performed by a semi-inverse method. The stress function is taken as a polynomial of the third degree. Numerical calculation is performed using the finite element method. A comparison of the results obtained by the two methods is performed.

scholarly journals Probability density of the Yukawa particle at the origin: numerical calculation and analytical solution

2021 ◽  
pp. 136718
Author(s):  
Xiao Hu Ji ◽  
Yu Ying He ◽  
Li Guang Jiao ◽  
Aihua Liu ◽  
Yew Kam Ho
Keyword(s):  
Numerical Calculation ◽  
Analytical Solution ◽  
Probability Density
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