International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 17 No. 1or Keyword in Title:
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Table of Content for Vol. 17 No. 1, 2019

Characterizations of Transmuted Exponentiated Pareto-I (TEP-I) Distribution
Fiaz Ahmad Bhatti and Azeem Ali
      
 PP. 1 - 20
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ABSTRACT: In this paper, we present characterizations of transmuted exponentiated Pareto-I (TEP-I) distribution via hazard rate functions, Mills ratio, reverse hazard rate functions, truncated first mean moments, ratio of truncated moments, order statistic, record values and Lorenz curve. The applications of characterizations of TEP-I distribution will be beneficial for scientists in different areas of science.


On Oscillatory and Asymptotic Behavior of Fourth Order Nonlinear Neutral Delay Differential Equations
Omar Bazighifan
      
 PP. 21 - 30
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ABSTRACT: This paper is concerned with asymptotic behavior of a class of fourth order neutral delay differential equations. We give a new asymptotic criterion by using comparison theorem with first order differential equation. Some examples are included to illustrate the importance of results obtained.


Random Difference Mean Square Problem Using Lyapunov Construction
M.A. Sohaly, AM. Mosaad
      
 PP. 31 - 39
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ABSTRACT: This paper deals with the Stochastic Volterra difference equation of second-kind in two case studies and we will focus on the summablity in mean square and mean fourth sense of the stochastic process solutions using the Lyapunov functionals construction technique.


On the Banach Space Numerical Range for a Linear Operator
Priscah M. Ohuru, Sammy W. Musundi, Ombaka C. Ochieng
      
 PP. 40 - 48
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ABSTRACT: The numerical range has been studied extensively in Hilbert spaces. Properties of the numerical range such as non-emptiness, containment of the spectrum and in particular, convexity have been proved and results have been given in these spaces. Furthermore, comparison of the numerical ranges with the spectra have been established. In this study, we consider the Banach space numerical range for a linear operator based on the definition by Lumer (1961) and establish its properties in relation to the above stated. Properties of the corresponding Banach numerical radius and spectrum are also discussed.


Performance of Subset Autoregressive Integrated Moving Average Polynomial Distributed Lag Model
Ayoola F. J. and Ojo J. F.
      
 PP. 49 - 56
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ABSTRACT: This study considered three types of distributed lag models namely: Autoregressive Integrated Polynomial Distributed Lag (ARIPDL), Autoregressive Integrated Moving Average Polynomial Distributed Lag (ARIMAPDL) and Subset Autoregressive Integrated Moving Average Polynomial Distributed Lag (SARIMAPDL) models. Less attention have been given to these models in literature, hence the reason for this study. These models were further compared with the existing polynomial distributed lag models taking into consideration the stationary of the endogenous variable. The estimation technique was illustrated with respect to two time series. The optimal model were fitted using appropriate criteria and the forecast attached to these models were evaluated using appropriate measures. Among the three models, SARIMAPDL performed best when we studied the residual variance and SARIMAPDL outperformed ARIPDL and ARIMAPDL when the forecast performance were studied. In all, SARIMAPDL outperformed all the models studied in this work. We recommend SARIMAPDL especially when we are focusing on the stationary of the endogenous variable.