Showing papers in "Journal of Applied Mathematics, Statistics and Informatics in 2017"
TL;DR: The main goal of the research was to measure and confirm brain activity of beta waves when playing 3D and 2D serious game and compare them and introduce some benefits and profits of using serious games and neurofeedback.
Abstract: Abstract Neuroscience and gaming are among the most rapidly increasing research areas. Today, researchers look for a way to develop a serious game, which would improve some chosen knowledge of participants at schools or work. Therefore, it is very necessary to have some feedback whether a serious game is going to improve chosen knowledge. One of the possibilities is to use a neurofeedback using electroencephalography (EEG). Brainwaves, especially beta waves (12Hz - 30Hz), are very important if we want to evaluate the effectiveness of game methodology. Beta waves are activated just when the participant is concentrated. The main goal of our research was to measure and confirm brain activity of beta waves when playing 3D and 2D serious games and compare them. In the last part of paper, we introduce some benefits and profits of using serious games and neurofeedback.
27 citations
TL;DR: In this paper, a numerical solution of the modified Burgers' equation is obtained by the finite difference methods, and the stability analysis of the linearized finite difference equations obtained by two different linearization techniques has been separately conducted via Fourier stability analysis method.
Abstract: Abstract In this study, a numerical solution of the modified Burgers’ equation is obtained by the finite difference methods. For the solution process, two linearization techniques have been applied to get over the non-linear term existing in the equation. Then, some comparisons have been made between the obtained results and those available in the literature. Furthermore, the error norms L2 and L∞ are computed and found to be sufficiently small and compatible with others in the literature. The stability analysis of the linearized finite difference equations obtained by two different linearization techniques has been separately conducted via Fourier stability analysis method.
10 citations
TL;DR: In this article, the estimation of R = P(X < Y) when X and Y come from two independent inverted exponentiated rayleigh distributions with different shape parameters, but having the same scale parameter is presented.
Abstract: Abstract Based on progressively Type-II censored samples, this paper deals with the estimation of R = P(X < Y) when X and Y come from two independent inverted exponentiated rayleigh distributions with different shape parameters, but having the same scale parameter. The maximum likelihood estimator and UMVUE of R is obtained. Different confidence intervals are presented. The Bayes estimator of R and the corresponding credible interval using the Gibbs sampling technique are also proposed. Monte Carlo simulations are performed to compare the performances of the different methods. One illustrative example is provided to demonstrate the application of the proposed method.
6 citations
TL;DR: In this article, the Modified Adomian decomposition method (MADM) in conjunction with Pade technique is formally proposed to obtain an analytic approximation for the solution of the model, which is a nonlinear intgro-differential equation.
Abstract: Abstract In this paper, the Volterra’s population model is studied for population growth of a species within a closed system. Modified Adomian decomposition method (MADM) in conjunction with Pade technique is formally proposed to obtain an analytic approximation for the solution of the model, which is a nonlinear intgro-differential equation. The results of the method are compared with the existing exact results, confirming the accuracy and the efficiency of the proposed approach.
4 citations
TL;DR: In this article, the problem of estimation of population mean in two-phase (double) sampling has been investigated and two estimation strategies, one chain exponential ratio estimator and regression type estimator, have been proposed.
Abstract: Abstract The present investigation deals with the problem of estimation of population mean in two-phase (double) sampling. Utilizing information on two auxiliary variables, one chain exponential ratio and regression type estimator has been proposed and its properties are studied under two different structures of twophase sampling. To make the estimator practicable, unbiased version of the proposed strategy has also been developed. The dominance of the suggested estimator over some contemporary estimators of population mean has been established through numerical illustrations carried over the data set of some natural population and artificially generated population. Categorization of the dominance ranges of the proposed estimation strategies are deployed through defuzzification tools, which are followed by suitable recommendations.
2 citations
TL;DR: In this article, a generalized Stein-rule restricted ridge regression estimator is proposed to examine multicollinearity and autocorrelation problems simultaneously for the general linear regression model, when certain additional exact restrictions are placed on these coefficients.
Abstract: Abstract Several versions of the Stein-rule estimators of the coefficient vector in a linear regression model are proposed in the literature. In the present paper, we propose new feasible generalized Stein-rule restricted ridge regression estimators to examine multicollinearity and autocorrelation problems simultaneously for the general linear regression model, when certain additional exact restrictions are placed on these coefficients. Moreover, a Monte Carlo simulation experiment is performed to investigate the performance of the proposed estimator over the others.
1 citations
TL;DR: In this article, the generalized fractional operators pertaining to the generalized Mittag-Leffler function and multi-index Mittag Leffler functions were studied and some applications of the established results associated with generalized Wright function were also deduced as corollaries.
Abstract: Abstract In this paper, we study the generalized fractional operators pertaining to the generalized Mittag-Leffler function and multi-index Mittag-Leffler function. Some applications of the established results associated with generalized Wright function are also deduced as corollaries. The results are useful in solving the problems of science, engineering and technology where the Mittag-Leffler function occurs naturally.
1 citations
TL;DR: The formula for finding the performance parameters such as AOQ, E(I) and the parameters i and f are found out by GERT technique and developing program for the construction of table values and plotting graph using MATLAB.
Abstract: Abstract In this paper, we have designed the Continuous sampling plan (CSP-5) plan using GERT analysis and the software package MATLAB 2007b. The formula for finding the performance parameters such as AOQ, E(I) and the parameters i and f are found out by GERT technique and developing program for the construction of table values and plotting graph using MATLAB.
1 citations
TL;DR: The goal is to compare the results of an analytic approach using Lyapunov method and computer simulation using a numerical method to estimating the region of stability of differential equation.
Abstract: Abstract The paper presents two different approaches to estimating the region of stability of differential equation. Estimation of the region of stability is an essential practice in relation to control of the dynamical system. In this paper the objects of examination are differential equations with quasi-derivation. The equations have features that do not allow the application of classical methods for establishing stability. The goal is to compare the results of an analytic approach using Lyapunov method and computer simulation using a numerical method. The brief description of both methods are introduced and graphical results are presented and compared
1 citations
TL;DR: The actual level of risk considered tolerable will vary depending on a number of factors such as the level of human control over the circumstances, the voluntary or unintentional nature of the risk, the number of people at risk in each individual case, the degree of responsibility placed on safety and critical systems.
Abstract: Abstract Reliability of the technological processes or reliability of devices used in different industries is an important part of designing safety critical systems. The failure of such systems leads to economic losses, health damage or environmental pollution. An important role in the development of safety critical systems is therefore the reliability analysis, the assessment of the risks associated with the use of the technical means and the consequent reduction of this risk. The actual level of risk considered tolerable will vary depending on a number of factors such as the level of human control over the circumstances, the voluntary or unintentional nature of the risk, the number of people at risk in each individual case, the degree of responsibility placed on safety and critical systems reflects the need for quality design and ensure of software safety. Various standards and methods are used to achieve the desired level of safety. One of the methods used for reliability analysis is the use of a block diagram of reliability.
1 citations
TL;DR: In this article, the problem of estimating the population mean at the current occasion in two occasion successive sampling when non-response occurs on the current (second) occasions was addressed, using the power transformation.
Abstract: Abstract This paper addresses the problem of estimating the population mean at the current occasion in two occasion successive sampling when non-response occurs on the current (second) occasions. Using the power transformation we have suggested classes of estimators of current population mean and their properties are studied. Optimum replacement strategies for the proposed estimators have been given and empirical studies are carried out to assess the performance of estimators. We have made suitable recommendation to the practitioners on the basis of the empirical study.
TL;DR: In this paper, a family of estimators of the population mean using auxiliary information in sample surveys has been proposed, and the bias and mean squared error of the proposed estimators have been obtained under large sample approximation.
Abstract: Abstract In this paper we have suggested a family of estimators of the population mean using auxiliary information in sample surveys. The bias and mean squared error of the proposed class of estimators have been obtained under large sample approximation. We have derived the conditions for the parameters under which the proposed class of estimators has smaller mean squared error than the sample mean, ratio, product, regression estimator and the two parameter ratio-product-ratio estimators envisaged by Chami et al (2012). An empirical study is carried out to demonstrate the performance of the proposed class of estimators over other existing estimators.