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Robust Parameter Estimations Using L-Moments, TL-Moments and the Order Statistics
Issue:
Volume 2, Issue 2, April 2014
Pages:
36-53
Received:
24 March 2014
Accepted:
10 April 2014
Published:
20 April 2014
Abstract: Application of the method of moments for the parametric distribution is common in the construction of a suitable parametric distribution. However, moment method of parameter estimation does not produce good results. An alternative approach when constructing an appropriate parametric distribution for the considered data file is to use the so-called order statistics. This paper deals with the use of order statistics as the methods of L-moments and TL-moments of parameter estimation. L-moments have some theoretical advantages over conventional moments. L-moments have been introduced as a robust alternative to classical moments of probability distributions. However, L-moments and their estimations lack some robust features that belong to the TL-moments. TL-moments represent an alternative robust version of L-moments, which are called trimmed L-moments. This paper deals with the use of L-moments and TL-moments in the construction of models of wage distribution. Three-parametric lognormal curves represent the basic theoretical distribution whose parameters were simultaneously estimated by three methods of point parameter estimation and accuracy of these methods was then evaluated. There are method of TL-moments, method of L-moments and maximum likelihood method in combination with Cohen’s method. A total of 328 wage distribution has been the subject of research
Abstract: Application of the method of moments for the parametric distribution is common in the construction of a suitable parametric distribution. However, moment method of parameter estimation does not produce good results. An alternative approach when constructing an appropriate parametric distribution for the considered data file is to use the so-called ...
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On the Solution of a Boundary Value Problem related to the Heat Transmission
Khanlar R. Mamedov,
Volkan Ala
Issue:
Volume 2, Issue 2, April 2014
Pages:
54-59
Received:
28 March 2014
Accepted:
18 April 2014
Published:
30 April 2014
Abstract: In this study, we consider a heat transmission problem which has derivative with respect to the time in boundary condition. Applying the seperation of variables method, we get a Sturm-Liouville equation with discontinuous coefficient and a spectral parameter dependent boundary condition. For this spectral problem, the operator theoretic formula is given, the resolvent operator constructed and the expansion formula with respect to the eigenfunctions obtained. Using the expansion formula, the solution of the heat problem expressed.
Abstract: In this study, we consider a heat transmission problem which has derivative with respect to the time in boundary condition. Applying the seperation of variables method, we get a Sturm-Liouville equation with discontinuous coefficient and a spectral parameter dependent boundary condition. For this spectral problem, the operator theoretic formula is ...
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Nonlocal Fractional Semilinear Integrodifferential Equations in Separable Banach Spaces
V. Dhanapalan,
M. Thamilselvan,
M. Chandrasekaran
Issue:
Volume 2, Issue 2, April 2014
Pages:
60-63
Received:
6 April 2014
Accepted:
15 April 2014
Published:
30 April 2014
Abstract: The existence of mild solutions for fractional semilinear integrodifferential equations with nonlocal conditions in separable Banach spaces is studied in this article. The result is established by Hausdorff measure of noncompactness and Schauder fixed point theorem.
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The Method of Decomposition Domain for the Digital Modelling of a Jet
Khalid Adnaoui,
Nourdine Tounsi,
Mohamed Chagdali,
Soumia Mordane
Issue:
Volume 2, Issue 2, April 2014
Pages:
64-68
Received:
28 March 2014
Accepted:
26 April 2014
Published:
10 May 2014
Abstract: This work concerns to the digital treatment of the problems in strong nonlinearity during the resolution of the equations of Navier Stokes, in particular those due to the strong recirculation in turbulent regime. The developed idea is to use the method of subdomains. The domain of the flow is decomposed into several sub domains separated by fictitious borders. In each of these sub domains, we use the best digital adapted method. The passage in the entire domain is made by digital connecting. This connecting is made by covering of domain. The results are presented in the case of a jet of rejection emitted by the bottom in a rectangular canal. In this application, we divided the domain of study into two parts: Meadows of the limit coat, we use the method of the finished differences and in the outside zone the resolution is made by the particular method .The fictitious interface between these two subdomains is processed by the method particles - meshing. A validation of this approach is made by comparison with a direct calculation in entire domain.
Abstract: This work concerns to the digital treatment of the problems in strong nonlinearity during the resolution of the equations of Navier Stokes, in particular those due to the strong recirculation in turbulent regime. The developed idea is to use the method of subdomains. The domain of the flow is decomposed into several sub domains separated by fictiti...
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A Global Perspective on Applied Mathematics & Numerical Analysis
Aisan Khojasteh,
Mahmoud Paripour
Issue:
Volume 2, Issue 2, April 2014
Pages:
69-73
Received:
18 April 2014
Accepted:
6 May 2014
Published:
20 May 2014
Abstract: Mathematics has a great variety of applications in the physical sciences. This simple, undeniable fact, however, gives rise to an interesting philosophical problem: why should physical scientists find that they are unable to even state their theories without the resources of abstract mathematical theories? Moreover, the formulation of physical theories in the language of mathematics often leads to new physical predictions which were quite unexpected on purely physical grounds. It is thought by some that the puzzles the applications of mathematics present are artefacts of out-dated philosophical theories about the nature of mathematics. In this paper I examine numerical analysis what precisely it is and why it is important. I begin by presenting a selective conceptual reconstruction of one suggestive line in its historical development. Then expand my focus to a general account of what numerical analysis consists today.
Abstract: Mathematics has a great variety of applications in the physical sciences. This simple, undeniable fact, however, gives rise to an interesting philosophical problem: why should physical scientists find that they are unable to even state their theories without the resources of abstract mathematical theories? Moreover, the formulation of physical theo...
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