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VFAST Transactions on Mathematics
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  This is an Open Access Journal Open Access journal
     ISSN (Print) 2309-0022 - ISSN (Online) 2309-0022
     Published by Virtual Foundation for Advancement of Science and Technology Homepage  [2 journals]
  • A General Class Of Estimators For Finite Population Mean In The Presence
           Of Non-Response When Using The Second Raw Moments

      Abstract: In this paper, a general class of family of estimators for estimation of finite population mean is proposed under non-response, by using information on second raw moments. Properties of some ratio, product, modified ratio and modified product type estimators, which are members of a suggested class of estimators, are studied.  It is shown that a suggested class of estimators performs better than the usual ratio and product type estimators as well as regression and other considered estimators. A numerical study is carried out to support a suggested class of estimators.
      PubDate: 2013-12-15
      Issue No: Vol. 2 (2013)

    • Authors: Naila Amir, Muneer Ahmad Rashid
      Abstract: The eigenvalues, eigenvectors and the properties of the rotation part of the orthogonal group O(3) are well-known. What can we say about the eigenval- ues and eigenvectors of the Pseudo-orthogonal group O(2,1)? The answer to this question will be presented in this paper. Generalizations of the results for these groups in higher dimensions will also be discussed. The distinction between even and odd dimensions will be emphasized.
      PubDate: 2013-11-15
      Issue No: Vol. 2 (2013)
  • Numerical solutions of SVEIRS model by meshless and finite difference

    • Authors: Nadeem Haider
      Abstract: In this paper an operator splitting method is being considered for numerical solution of compartmental epidemiological population models with and without di usion. This is based on meshless and nitedi erence method. A one step ex-plicit meshless procedure is also applied for the numerical solution of the model. The compartmental model comprises of susceptible, vaccinated, exposed, infected, recovered(SVEIRS) classes of the population. E ects of the di usion on the simulation results of the model will bestudied. Due to non-availability of the exact and precise solution, the numerical results obtained aremutually compared and their correctness will be veri ed by the theoretical results .
      PubDate: 2013-11-06
      Issue No: Vol. 2 (2013)
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