International Journal of Mathematics & Computation™
The main aim of the International Journal of Mathematics and Computation™ [ISSN 0974-570X (Online); 0974-5718 (Print)] is to publish refereed, well-written original research articles, and studies that describe the latest research and developments in the area of mathematics and computations. This is a broad-based journal covering all branches of mathematics, computations and interdisciplinary research. International Journal of Mathematics & Computation (IJMC) is a peer-reviewed journal and published four times (quarterly) in a year. Reviewed, Abstracted and Indexed in the past: The International Journal of Mathematics & Computations (IJMC) is reviewed, abstracted and indexed in the past by the Zentralblatt MATH (Zentralblatt für Mathematik), Mathematical Reviews, MathSciNet, Current Index to Statistics (CIS) [ The Current Index to Statistics (CIS) is a joint venture of the American Statistical Association & Institute of Mathematical Statistics, USA], International Abstracts in Operations Research (IAOR), Indian Science Abstracts; Academic keys; JournalSeek, Ulrich's Periodicals Directory, International Statistical Institute (ISI, Netherlands) Journal Index, IndexCopernicus, Getcited…
Recursive estimation of the distribution function with functional data for strong mixing data.
In this paper, we introduce a new nonparametric estimator of the conditional cumulative distribution, of a scalar response variable given a functional data are determined. Our estimates are based on recursive approach. We prove under general conditions, the Almost sure convergence and the quadratic average convergence of the constructed estimates.
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Estimation of extreme quantiles for non stationary Gumbel models in the case of non linear normalization
The extreme value theory is frequently used to analyze flood flows in hydrology. Originally, this theory was developed for independent and identically distributed observations (iid). Gumbel models are among the most commonly used probability functions in frequency analysis of extreme flood flows. In practice, iid condition is not always verified. In this paper, we estimate extreme quantiles using non-stationary Gumbel models in the case of non linear normalization (power normalization). The parameters of these models are estimated from numerical methods such as Maximum Likelihood/Quasi-Newton Algorithm (MLE/QN) and Block Subdivision Method (BSM). We test non-stationary Gumbel models in a case study using station water level data. These data are observed over time (t).
Modeling Sexual Activities Among Students; A Global Analysis
Sexual activity involving unmarried male and female students is categorized as an infectious disease in this research. The paper presents a comprehensive constancy analysis of a proposed SIR sex model. The model has two steady states; an unrealistic sexfree equilibrium, and a pragmatic endemic equilibrium state. The global stability conditions for this model were obtained using Lyapunov functions along with the LaSalle’s invariant principle. Numerical perturbation of model parameters showed a continual existence of this endemic in the host population.
Complete Convergence for Acceptable Partial sums with Application to Autoregressive Model AR(1)
The concentration inequalities, or probability bounds, plays a basic role in the analysis of machine learning algorithms and in statistics. In this work, we found a new concentration inequality for acceptable random variables of partial sums which enable us to show the complete convergence for the estimator of the coefficient of first order AR model. Using these inequalities, a confidence interval is obtained.
In this paper, we introduce the notions of Lattice-valued fuzzy (skew) ideals in a skew lattice. We give some basic properties and the relationships between these fuzzy ideals. Specially, we prove that the set of all Lattice-valued fuzzy ideals is a complete lattice. We also introduce the notions of Lattice-valued fuzzy prime (skew) ideals and give some properties and characterizations of them. We give a correspondence theorem, as well and also establish the Prime Ideal Theorem for Lattice-valued fuzzy ideals.
Effect of nonlinear harvesting on a prey-predator ecological system with Monod-Haldane functional response
In this paper, we consider a two dimensional prey-predator model. The interaction among the species are considered as the Monod-Haldane functional response. The species are harvested and the type of harvest is nonlinear. We study the several qualitative features of the harvested model system. In particular, the mathematical features like local stability, global stability, oscillation of the population due to bifurcation of the population are conducted. The analysis is carried out to determine the rate of harvesting for sustainable yield.
A fixed point theorem for two pairs of mappings without the notion of limit of sequence in G-metric spaces
This paper is introducing a new type of common range porperty for two pairs of self mappings A,S and B,T of a G-metric space without the notion of limit of sequence in G-metric spaces. As application,new results for mapping satisfying a Berinde type contraction and for Ø-type contraction are obtained.
Solution of the Black-Scholes Partial Differential Equation for the Vanilla Options via the Reduced Differential Transform Method
This paper presents the Reduced Differential Transform Method (RDTM) for the solution of the Black-Scholes Partial Differential Equation (B-SPDE) for the vanilla option, namely the “European style”. The analytical solution of B-SPDE is calculated in the form of a convergent power series with easily computable components. The results showed that RDTM is very effective, reliable and can be applied to many other partial differential equations arising from the financial market. We assumed that the assets are driven by the geometric Brownian motion with non-dividend paying stock.