Du, Lingling Chen, Shouquan
Published in
Journal of the Korean Statistical Society
For a generalized gamma random sequence, some fundamental properties and convergence rates of the distribution of its partial maximum to the Gumbel extreme value distribution are derived. The asymptotic expansions for the distribution and density of maximum from generalized gamma distribution are given under an optimal choice of normalizing constan...
Trypsteen, Wim Vynck, Matthijs De Neve, Jan Bonczkowski, Pawel Kiselinova, Maja Malatinkova, Eva Vervisch, Karen Thas, Olivier Vandekerckhove, Linos De Spiegelaere, Ward
...
Published in
Analytical and Bioanalytical Chemistry
Digital PCR is rapidly gaining interest in the field of molecular biology for absolute quantification of nucleic acids. However, the first generation of platforms still needs careful validation and requires a specific methodology for data analysis to distinguish negative from positive signals by defining a threshold value. The currently described m...
Zhang, Yi Lam, Jasmine Siu Lee
Published in
Stochastic Environmental Research and Risk Assessment
The analysis and design of offshore structures necessitates the consideration of environmental loads. Realistic modeling of the environmental loads is particularly important to ensure reliable performance of these structures. In this paper, structural reliability analysis of offshore structures subjected to a time varying environment is investigate...
Wang, Rui Li, Chao Wang, Jie Wei, Xiaoer Li, Yuehua Zhu, Yuemin Zhang, Su
Published in
Neuroradiology
IntroductionThis study aims to develop an automatic segmentation framework on the basis of extreme value distribution (EVD) for the detection and volumetric quantification of white matter hyperintensities (WMHs) on fluid-attenuated inversion recovery (FLAIR) images.MethodsTwo EVD-based segmentation methods, namely the Gumbel and Fréchet segmentatio...
Guegan, Dominique Zhao, Xin
In this paper, we propose an alternative approach to estimate long-term risk. Instead of using the static square root of time method, we use a dynamic approach based on volatility forecasting by non-linear models. We explore the possibility of improving the estimations using different models and distributions. By comparing the estimations of two ri...
Jeong, Bo Yoon Murshed, Md. Sharwar Seo, Yun Am Park, Jeong-Soo
Published in
Stochastic Environmental Research and Risk Assessment
A three-parameter kappa distribution (K3D) as a special case of the four-parameter kappa distribution is studied. This distribution (K3D) is viewed as a generalized Gumbel distribution. A description of the mathematical properties of K3D is provided. We consider the moment generating function, the moments, the L-moments, LH-moments, the asymptotic ...
Chen, Xinzhong
Published in
Engineering Structures
This paper presents an approach based on response crossing rate analysis for estimating extreme value distribution of crosswind response of wind-excited structures with significant nonlinear aeroelastic effect. The crossing rates at various thresholds are calculated from response time histories, and are then curve-fitted by a prescribed parametric ...
Gong, Kuangmin Chen, Xinzhong
Published in
Engineering Structures
The wind turbulence inflows specified in current wind turbine design standards and turbine response simulation tools are usually modeled as stationary random Gaussian processes. Field measurement data, however, suggest that wind turbulence in complex terrain exhibits non-Gaussian characteristics. This study presents a comprehensive investigation on...
Miladinovic, Branko Tsokos, Chris P.
Published in
Journal of Statistical Theory and Practice
Extreme value distributions are increasingly being applied in biomedical literature to model unusual behavior or rare events. Two popular methods that are used to estimate the location and scale parameters of the type I extreme value (or Gumbel) distribution, namely, the empirical distribution function and the method of moments, are not optimal, es...
Zobel, Richard W.
Published in
Plant and Soil
AimsDetermine if the root system of Lolium perenne L. (L perenne) is a continuous distribution of diameters, or a collection of discrete diameters classes.MethodsPlants from tillers of five clones were grown in a local soil amended with lime. Roots were excavated after they were grown in soil for 54 days, washed and imaged with both a commercial sc...
