Science Journal of Applied Mathematics and Statistics

Volume 4, Issue 2, April 2016

  • Research on Mortgage-Backed Securitization Structure

    Yang Yue, Yu Bo

    Issue: Volume 4, Issue 2, April 2016
    Pages: 21-28
    Received: 6 March 2016
    Published: 6 March 2016
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    Abstract: Asset securitization is an important way to improve bank asset liability structure, and can offer investors financial tools with high yields. Owing to the rapid and stable development of the financial market, the large-scale asset securitization age is on the way. To establish a complete and reasonable mortgage-backed securitization structuring mod... Show More
  • Bayesian Structural Equation Modeling: A Business Culture Application in Kenya

    Mutitu Ephantus Mwangi, Antony Wanjoya

    Issue: Volume 4, Issue 2, April 2016
    Pages: 37-42
    Received: 12 October 2015
    Accepted: 26 October 2015
    Published: 16 March 2016
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    Abstract: Structural equation modeling (SEM) is a multivariate method that incorporates regression, path-analysis and factor analysis. Classical SEM requires the assumption of multivariate normality to be met and large sample size, also choice is made either to ignore uncertainties or treat the latent variables as observed. National culture Data gathered in ... Show More
  • Factors Mediating Between Government Expenditure and Unemployment in Nigeria

    Chike Henry Nwankwo, Amechi Henry Igweze

    Issue: Volume 4, Issue 2, April 2016
    Pages: 43-47
    Received: 16 January 2016
    Accepted: 8 February 2016
    Published: 18 March 2016
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    Abstract: The study seeks to find economic variables mediating between unemployment and government expenditure in Nigeria. The indirect effect was tested using the method of difference of coefficient. the findings shoe that only labour force population and inflation showed evidence of partial mediation, although their mediational (indirect) effect are not st... Show More
  • The Inverse Problem of the Calculus of Variation

    Estomih Shedrack Massawe

    Issue: Volume 4, Issue 2, April 2016
    Pages: 48-51
    Received: 8 February 2016
    Accepted: 9 March 2016
    Published: 28 March 2016
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    Abstract: In this paper, it is intended to determine the necessary and sufficient conditions for the existence and hence the construction of a Lagrangian of a dynamical system from its equations of motion. The existence of a Lagrangian is vital importance for the Hamiltonian description of a dynamical system since via the Legendre transformation we get the Hamiltonian of the system [1, 2]. It is also intended to show that the solution of the realization problem for the Hamiltonian system reduces to solving an inverse problem.
  • Statistical Modeling of Quarterly Record of Rainfall Distribution in South West Nigeria

    Iyabode Favour Oyenuga, Benjamin Agboola Oyejola, Johnson Taiwo Olajide

    Issue: Volume 4, Issue 2, April 2016
    Pages: 52-58
    Received: 26 February 2016
    Accepted: 10 March 2016
    Published: 29 March 2016
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    Abstract: Modelling distribution of rainfall in South West Nigeria is examined. Quarterly rainfall distribution data of Ibadan as a case study were collected for a period of 43 years (1971-2013) from Nigeria Meteorological Agency (NMA) quoted in Central Bank of Nigeria (CBN) bulletin. The time series analysis was used to model and forecast the quarterly rain... Show More
  • An Approach of Power Estimation for Linear Mixed Models for Clinical Studies

    Weijia Feng

    Issue: Volume 4, Issue 2, April 2016
    Pages: 59-63
    Received: 10 April 2016
    Published: 11 April 2016
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    Abstract: This study aims to demonstrate a practical way of power estimation for linear mixed models in clinical studies. Approximation methods using z and t statistics are discussed and compared to the simulated results. It was found that the approximation methods generally provide a slight overestimation of power, relative to simulated results using the Ke... Show More
  • Modeling and Forecasting Kenyan GDP Using Autoregressive Integrated Moving Average (ARIMA) Models

    Musundi Sammy Wabomba, M’mukiira Peter Mutwiri, Mungai Fredrick

    Issue: Volume 4, Issue 2, April 2016
    Pages: 64-73
    Received: 14 March 2016
    Accepted: 25 March 2016
    Published: 13 April 2016
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    Abstract: The Gross Domestic Product (GDP) is the market value of all goods and services produced within the borders of a nation in a year. In this paper, Kenya’s annual GDP data obtained from the Kenya National Bureau of statistics for the years 1960 to 2012 was studied. Gretl and SPSS 21 statistical softwares were used to build a class of ARIMA (autoregres... Show More
  • Implicit Exponentially Fitted RKNd Methods for Solving Oscillatory ODEs

    Wenjuan Zhai, Bingzhen Chen

    Issue: Volume 4, Issue 2, April 2016
    Pages: 74-80
    Received: 12 April 2016
    Published: 13 April 2016
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    Abstract: In this paper, we derive the implicit exponentially fitted RKNd methods for solving oscillatory ODEs. The new methods integrate exactly differential systems whose solutions can be expressed as linear combinations of functions from the set {exp(λt), exp(−λt)}, λ ∈ C, or equivalently when λ = iω, ω ∈ R. Numerical experiments are accompanied to show ... Show More
  • Key Performance Indicators for Electricity Conservation in Open Pit Mining

    Qinglin Yu, Long Wen, Craig Haight, Alex Russell-Jones

    Issue: Volume 4, Issue 2, April 2016
    Pages: 81-87
    Received: 12 April 2016
    Published: 13 April 2016
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    Abstract: In mining operation, blasts are used to fracture the in-situ rock mass and prepare it for excavation, crushing and grinding. The High-energy blasting, which uses increased amount of explosive material per tonne of rock, is considered to be one of most effective ways to reduce the consumption of energy in the milling process, resulting production sa... Show More