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A PRIORI ESTIMATES TO THE MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH ANISOTROPIC GROWTH CONDITIONS 被引量:1
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作者 梁廷 王向东 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第11期1025-1034,共10页
In this paper we give a priori estimates for the maximum modulus of generalizedsolulions of the quasilinear elliplic equations irith anisotropic growth condition.
关键词 quasilinear elliptic equation. nonstandard growth condition.anisotropic Sobolev space. generalized solution. maximum mod-ulus. a priori estimate
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Prediction of Short-Term Distributions of Load Extremes of Offshore Wind Turbines 被引量:2
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作者 王迎光 《China Ocean Engineering》 SCIE EI CSCD 2016年第6期851-866,共16页
This paper proposes a new methodology to select an optimal threshold level to be used in the peak over threshold (POT) method for the prediction of short-term distributions of load extremes of offshore wind turbines... This paper proposes a new methodology to select an optimal threshold level to be used in the peak over threshold (POT) method for the prediction of short-term distributions of load extremes of offshore wind turbines. Such an optimal threshold level is found based on the estimation of the variance-to-mean ratio for the occurrence of peak values, which characterizes the Poisson assumption. A generalized Pareto distribution is then fitted to the extracted peaks over the optimal threshold level and the distribution parameters are estimated by the method of the maximum spacing estimation. This methodology is applied to estimate the short-term distributions of load extremes of the blade bending moment and the tower base bending moment at the mudline of a monopile-supported 5MW offshore wind turbine as an example. The accuracy of the POT method using the optimal threshold level is shown to be better, in terms of the distribution fitting, than that of the POT methods using empirical threshold levels. The comparisons among the short-term extreme response values predicted by using the POT method with the optimal threshold levels and with the empirical threshold levels and by using direct simulation results further substantiate the validity of the proposed new methodology. 展开更多
关键词 extreme responses monopile-supported offshore wind turbine peak over threshold method optimalthreshold level variance-to-mean ratio generalized Pareto distribution maximum spacing estimation
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Exponentiated Generalized Inverse Flexible Weibull Distribution:Bayesian and Non-Bayesian Estimation Under Complete and TypeⅡCensored Samples with Applications
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作者 M.El-Morshedy M.S.Eliwa +2 位作者 A.El-Gohary Ehab M.Almetwally R.EL-Desokey 《Communications in Mathematics and Statistics》 SCIE 2022年第3期413-434,共22页
In this paper,a new 4-parameter exponentiated generalized inverse flexible Weibull distribution is proposed.Some of its statistical properties are studied.The aim of this paper is to estimate the model parameters via ... In this paper,a new 4-parameter exponentiated generalized inverse flexible Weibull distribution is proposed.Some of its statistical properties are studied.The aim of this paper is to estimate the model parameters via several approaches,namely,maximum likelihood,maximum product spacing and Bayesian.According to Bayesian approach,several techniques are used to get the Bayesian estimators,namely,standard error function,Linex loss function and entropy loss function.The estimation herein is based on complete and censored samples.Markov Chain Monte Carlo simulation is used to discuss the behavior of the estimators for each approach.Finally,two real data sets are analyzed to obtain the flexibility of the proposed model. 展开更多
关键词 Weibull distribution Hazard rate function maximum likelihood estimation maximum product spacing estimation Bayesian estimation Censored samples Simulation
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