Several radial basis function based methods contain a free shape parameter which has  a crucial role in the accuracy of the methods. Performance evaluation of this parameter in different  functions with various data has always been a topic of study. In the present paper, we consider studying the methods which determine an optimal value for the shape parameter in interpolations of radial basis  ...

The Weibull distribution has received much interest in reliability theory. well-known maximum likelihood estimators (MLE) of this fam ily are not available closed form expression. In work, we propose a consistent and estimator for shape parameter three-parameter distribution. Apart from high degree performance, the derived is location scale-invariant.

In this work, we investigate a particular class of shape optimization problems under uncertainties on the input parameters. More precisely, we are interested in the minimization of the expectation of a quadratic objective in a situation where the state function depends linearly on a random input parameter. This framework covers important objectives such as tracking-type functionals for elliptic...

In this paper, we propose the spectral collocation method based on radial basis functions to solve the fractional Bagley-Torvik equation under uncertainty, in the fuzzy Caputo's H-differentiability sense with order ($1< nu < 2$). We define the fuzzy Caputo's H-differentiability sense with order $nu$ ($1< nu < 2$), and employ the collocation RBF method for upper and lower approximate solutions. ...

in this paper, multi-stage optimum design of composite pressure vessels is presented. the design variables for composite vessels include the head shape, the winding angle, the layer thickness, the number of layers, and the stacking sequence. a parameter called modified shape factor is introduced as an objective function. this parameter takes into account the effects of the internal pressure and...

In the last decade, parameter-free approaches to shape optimization problems have matured a state where they provide versatile tool for complex engineering applications. However, sensitivity distributions obtained from derivatives in this context cannot be directly used as update gradient-based strategies. Instead, an auxiliary problem has solved obtain gradient sensitivity. While several choic...

fifty years ago warren and root have introduced the shape factor. this fundamental parameter for modeling of naturally fractured reservoirs has been discussed stormily ever since. different definitions for shape factor have been suggested which all of them are heuristically based. recently, heinemann and mittermeir mathematically derived - based on the dual-continuum theorem assuming pseudo-ste...

abstract land surface hydrological models has importance in the determination of soil moisture and temperature, the rate of evapotranspiration, stream flow by emphasis on the land surface physical and dynamic process descriptions. in this research, vic land surface hydrological model has been used for the land surface temperature and stream flow determination. the vic runoff simulation in each ...

the present study is an attempt to investigate some features of radial basis functions (rbfs) approximation methods related to variational problems. thereby authors applied some properties of rbfs to develop a direct method which reduces constrained variational problem to a static optimization problem. to assess the applicability and effectiveness of the method, some examples are examined. dyna...

The log-logistic distribution is widely used in different fields of study such as survival analysis, hydrology, insurance, and economics. Recently, Ahsanullah Alzaatreh studied the best linear unbiased estimators for location scale parameters three-parameter model. same authors also propose a shift-invariant Hill estimator unknown shape parameter. In this work, we new estimation method We deriv...