The Experts below are selected from a list of 102 Experts worldwide ranked by ideXlab platform
Wenhao Gui - One of the best experts on this subject based on the ideXlab platform.
-
An Alpha Half Normal Slash Distribution for Analyzing Non Negative Data
Communications in Statistics - Theory and Methods, 2015Co-Authors: Wenhao GuiAbstract:In this paper, we study a new class of slash distribution. We define the distribution through means of a stochastic representation as the mixture of an alpha half normal Random Variable with respect to the power of a Uniform Random Variable. Properties involving moments and moment generating function are derived. The usefulness and flexibility of the proposed distribution is illustrated through a real application by maximum likelihood procedure.
-
A Generalization of the Slash Half Normal Distribution: Properties and Inferences
Journal of Statistical Theory and Practice, 2014Co-Authors: Wenhao GuiAbstract:In this article, we introduce a generalization of the slash half normal distribution. We define the generalization by means of a stochastic representation as the mixture of a generalized half normal Random Variable with respect to a power of a Uniform Random Variable. The proposed generalization is more flexible in terms of its kurtosis than the slash half normal distribution. Properties involving moments are studied. We apply the distribution to some data applications where model fitting is implemented by a maximum likelihood procedure.
-
A Symmetric Component Alpha Normal Slash Distribution: Properties and Inferences
Journal of Statistical Theory and Applications, 2013Co-Authors: Wenhao Gui, Pei-hua ChenAbstract:In this paper, we introduce a new class of symmetric bimodal distribution. We define the distribution by means of a stochastic representation as the mixture of a symmetric component alpha normal Random Variable with respect to the power of a Uniform Random Variable. The proposed distribution is more flexible in terms of its kurtosis than the slashed normal distribution. Properties involving moments and moment generating function are studied. The proposed distribution is illustrated with a real application by maximum likelihood procedure.
Rajesh K. Pandey - One of the best experts on this subject based on the ideXlab platform.
-
A New Stable Algorithm to Compute Hankel Transform Using Chebyshev Wavelets
Communications in Computational Physics, 2010Co-Authors: Rajesh K. Pandey, Vineet Kumar Singh, Om Prakash SinghAbstract:A new stable numerical method, based on Chebyshev wavelets for numerical evaluation of Hankel transform, is proposed in this paper. The Chebyshev wavelets are used as a basis to expand a part of the integrand, r f (r), appearing in the Hankel transform integral. This transforms the Hankel transform integral into a Fourier-Bessel series. By truncating the series, an efficient and stable algorithm is obtained for the numerical evaluations of the Hankel transforms of order ν>−1. The method is quite accurate and stable, as illustrated by given numerical examples with varying degree of Random noise terms eθi added to the data function f (r), where θi is a Uniform Random Variable with values in [−1,1]. Finally, an application of the proposed method is given for solving the heat equation in an infinite cylinder with a radiation condition. AMS subject classifications: 65R10
-
a stable algorithm for hankel transforms using hybrid of block pulse and legendre polynomials
Computer Physics Communications, 2010Co-Authors: Vineet Kumar Singh, Rajesh K. Pandey, Saurabh SinghAbstract:Abstract A new numerical method, based on hybrid of Block-pulse and Legendre polynomials for numerical evaluation of Hankel transform is proposed in this paper. Hybrid of Block-pulse and Legendre polynomials are used as a basis to expand a part of the integrand, r f ( r ) , appearing in the Hankel transform integral. Thus transforming the integral into a Fourier–Bessel series. Truncating the series, an efficient algorithm is obtained for the numerical evaluations of the Hankel transforms of order ν > − 1 . The method is quite accurate and stable, as illustrated by given numerical examples with varying degree of Random noise terms e θ i added to the data function f ( r ) , where θ i is a Uniform Random Variable with values in [ − 1 , 1 ] . Finally, an application of the proposed method is given in solving the heat equation in an infinite cylinder with a radiation condition.
Vineet Kumar Singh - One of the best experts on this subject based on the ideXlab platform.
-
A New Stable Algorithm to Compute Hankel Transform Using Chebyshev Wavelets
Communications in Computational Physics, 2010Co-Authors: Rajesh K. Pandey, Vineet Kumar Singh, Om Prakash SinghAbstract:A new stable numerical method, based on Chebyshev wavelets for numerical evaluation of Hankel transform, is proposed in this paper. The Chebyshev wavelets are used as a basis to expand a part of the integrand, r f (r), appearing in the Hankel transform integral. This transforms the Hankel transform integral into a Fourier-Bessel series. By truncating the series, an efficient and stable algorithm is obtained for the numerical evaluations of the Hankel transforms of order ν>−1. The method is quite accurate and stable, as illustrated by given numerical examples with varying degree of Random noise terms eθi added to the data function f (r), where θi is a Uniform Random Variable with values in [−1,1]. Finally, an application of the proposed method is given for solving the heat equation in an infinite cylinder with a radiation condition. AMS subject classifications: 65R10
-
a stable algorithm for hankel transforms using hybrid of block pulse and legendre polynomials
Computer Physics Communications, 2010Co-Authors: Vineet Kumar Singh, Rajesh K. Pandey, Saurabh SinghAbstract:Abstract A new numerical method, based on hybrid of Block-pulse and Legendre polynomials for numerical evaluation of Hankel transform is proposed in this paper. Hybrid of Block-pulse and Legendre polynomials are used as a basis to expand a part of the integrand, r f ( r ) , appearing in the Hankel transform integral. Thus transforming the integral into a Fourier–Bessel series. Truncating the series, an efficient algorithm is obtained for the numerical evaluations of the Hankel transforms of order ν > − 1 . The method is quite accurate and stable, as illustrated by given numerical examples with varying degree of Random noise terms e θ i added to the data function f ( r ) , where θ i is a Uniform Random Variable with values in [ − 1 , 1 ] . Finally, an application of the proposed method is given in solving the heat equation in an infinite cylinder with a radiation condition.
Om Prakash Singh - One of the best experts on this subject based on the ideXlab platform.
-
A New Stable Algorithm to Compute Hankel Transform Using Chebyshev Wavelets
Communications in Computational Physics, 2010Co-Authors: Rajesh K. Pandey, Vineet Kumar Singh, Om Prakash SinghAbstract:A new stable numerical method, based on Chebyshev wavelets for numerical evaluation of Hankel transform, is proposed in this paper. The Chebyshev wavelets are used as a basis to expand a part of the integrand, r f (r), appearing in the Hankel transform integral. This transforms the Hankel transform integral into a Fourier-Bessel series. By truncating the series, an efficient and stable algorithm is obtained for the numerical evaluations of the Hankel transforms of order ν>−1. The method is quite accurate and stable, as illustrated by given numerical examples with varying degree of Random noise terms eθi added to the data function f (r), where θi is a Uniform Random Variable with values in [−1,1]. Finally, an application of the proposed method is given for solving the heat equation in an infinite cylinder with a radiation condition. AMS subject classifications: 65R10
Saurabh Singh - One of the best experts on this subject based on the ideXlab platform.
-
a stable algorithm for hankel transforms using hybrid of block pulse and legendre polynomials
Computer Physics Communications, 2010Co-Authors: Vineet Kumar Singh, Rajesh K. Pandey, Saurabh SinghAbstract:Abstract A new numerical method, based on hybrid of Block-pulse and Legendre polynomials for numerical evaluation of Hankel transform is proposed in this paper. Hybrid of Block-pulse and Legendre polynomials are used as a basis to expand a part of the integrand, r f ( r ) , appearing in the Hankel transform integral. Thus transforming the integral into a Fourier–Bessel series. Truncating the series, an efficient algorithm is obtained for the numerical evaluations of the Hankel transforms of order ν > − 1 . The method is quite accurate and stable, as illustrated by given numerical examples with varying degree of Random noise terms e θ i added to the data function f ( r ) , where θ i is a Uniform Random Variable with values in [ − 1 , 1 ] . Finally, an application of the proposed method is given in solving the heat equation in an infinite cylinder with a radiation condition.
