Science Journal of Applied Mathematics and Statistics

Volume 3, Issue 4, August 2015

  • Multivariate Outlier Detection Using Independent Component Analysis

    Md. Shamim Reza, Sabba Ruhi

    Issue: Volume 3, Issue 4, August 2015
    Pages: 171-176
    Received: 17 May 2015
    Accepted: 29 May 2015
    Published: 19 June 2015
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    Abstract: The recent developments by considering a rather unexpected application of the theory of Independent component analysis (ICA) found in outlier detection, data clustering and multivariate data visualization etc. Accurate identification of outliers plays an important role in statistical analysis. If classical statistical models are blindly applied to ... Show More
  • Conversely Convergence Theorem of Fabry Gap

    Naser Abbasi, Molood Gorji

    Issue: Volume 3, Issue 4, August 2015
    Pages: 177-183
    Received: 29 May 2015
    Accepted: 10 June 2015
    Published: 25 June 2015
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    Abstract: Our previous paper conducted to prove a variation of the converse of Fabry Gap theorem concerning the location of singularities of Taylor-Dirichlet series, on the boundary of convergence. In the present paper, we prove conversely convergence theorem of Fabry Gap. This is another proof of Fabry Gap theorem. This prove may be of interest in itself.
  • Detection of Non-Linearity in the Time Series Using BDS Test

    Akintunde, M. O., Oyekunle, J. O., Olalude G. A.

    Issue: Volume 3, Issue 4, August 2015
    Pages: 184-187
    Received: 7 May 2015
    Accepted: 16 June 2015
    Published: 6 July 2015
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    Abstract: The need to determine the status of the series is a very important issue that must be addressed before embarking on the statistical analysis of such series; this paper therefore, examines the status of the commercial bank savings in Nigeria. From the analysis we discovered that at level the series was not stationary as shown in figure 1, however at... Show More
  • On One 3-Dimensional Boundary-Value Problem with Inclined Derivatives

    Mekhtiyev Magomed Farman, Aliyev Nihan Alipanah, Fomina Nina Ilyinichna

    Issue: Volume 3, Issue 4, August 2015
    Pages: 188-193
    Received: 11 June 2015
    Accepted: 7 July 2015
    Published: 7 July 2015
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    Abstract: A boundary-value problem with inclined derivatives in 3-dimensional space with the boundaries – surfaces of Liapunov type is considered in the paper. The method of investigation is based on the necessary conditions. The advantage compared to the theory of potentials is that we don‘t have limit passage, we use boundary values which are obtained from... Show More
  • Solving Linear Time Varying Systems by Orthonormal Bernstein Polynomials

    Mahmood Dadkhah

    Issue: Volume 3, Issue 4, August 2015
    Pages: 194-198
    Received: 3 May 2015
    Accepted: 22 May 2015
    Published: 29 July 2015
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    Abstract: In this paper we present a method to find the solution of time-varying systems using orthonormal Bernstein polynomials. The method is based upon expanding various time functions in the system as their truncated orthonormal Bernstein polynomials. Operational matrix of integration is presented and is utilized to reduce the solution of time-varying sy... Show More
  • The Application of ARIMA Model in 2014 Shanghai Composite Stock Price Index

    Renhao Jin, Sha Wang, Fang Yan, Jie Zhu

    Issue: Volume 3, Issue 4, August 2015
    Pages: 199-203
    Received: 30 June 2015
    Accepted: 27 July 2015
    Published: 5 August 2015
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    Abstract: In order to study the changes of Shanghai Composite Stock Price Index (SCSPI) and predict the trend of stock market fluctuations, this paper constructed a time-series analysis.A non-stationary trend is found, and an ARIMA model is found to sufficiently model the data. A short trend of Shanghai composite stock price index is then predicted using the... Show More
  • Modeling the Effects of Time Delay on HIV-1 in Vivo Dynamics in the Presence of ARVs

    Kirui Wesley, Rotich Kiplimo Titus, Bitok Jacob, Lagat Cheruiyot Robert

    Issue: Volume 3, Issue 4, August 2015
    Pages: 204-213
    Received: 29 July 2015
    Accepted: 8 August 2015
    Published: 14 August 2015
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    Abstract: Mathematical models to describe in vivo and in vitro immunological response to infection in humans by HIV-1 have been of major concern due to the rich variety of parameters affecting its dynamics. In this paper, HIV-1 in vivo dynamics is studied to predict and describe its evolutions in presence of ARVs using delay differential equations. The delay... Show More