Research ArticleOpen accessIn the abstractOn Thermal Explosion of Sensitized Reaction with Variable Heat LossK.S. Adegbie, F.I. AlaoThis study discusses the influence of heat loss on the critical ignition temperature and Frank-Kamenetskii parameter of a non-linear ordinary differential equation arising in thermal sensitized reaction. The reaction obeys the Arrhenius expression with temperature dependent pre-exponential factor, taking heat exchange between the reacting material and its surrounding into account. The consequences of heat loss are explored within the framework … …American Journal of Applied Sciences, Vol. 4, Issue 1 · 30 Apr 2007 · 6,929 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Bayes Estimation of the First Order Moving Average ModelMahmoud M. Smadi, Ahmed A. Abu-TalebIn this work, Bayes estimation of the first order moving average model (MA(1)) were studied. Theoretical justification of the Bayes estimates based on the estimated innovations is given. The convergence of Bayes and maximum likelihood estimates are examined via simulation using different parameter values. Also, Bayes estimates were determined when the model is invertible using the estimated innovations. For long … …Journal of Mathematics and Statistics, Vol. 2, Issue 3 · 30 Sep 2006 · 6,524 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimal Parameter Tuning in a Predictive Nonlinear Control Method for a Mobile RobotD. Hazry, M. SugisakaThis study contributes to a new optimal parameter tuning in a predictive nonlinear control method for stable trajectory straight line tracking with a non-holonomic mobile robot. In this method, the focus lies in finding the optimal parameter estimation and to predict the path that the mobile robot will follow for stable trajectory straight line tracking system. The stability control contains … …American Journal of Applied Sciences, Vol. 3, Issue 4 · 30 Apr 2006 · 7,090 accessesView PDFCite
Research ArticleOpen accessIn the abstractSome Fast Methods for Fitting Some One-parameter Spatial ModelsR. J. MartinIt is common in geographic modelling to use a one-parameter spatial model to specify the inverse covariance matrix in terms of I-βW, for some known matrix W. Exact Gaussian maximum likelihood estimation of β requires evaluation of the determinant of the covariance matrix. For large data sets, this evaluation of the determinant can be slow and good approximations can be … …Journal of Mathematics and Statistics, Vol. 1, Issue 4 · 31 Dec 2005 · 6,071 accessesView PDFCite
Research ArticleOpen accessIn the abstractLinear Smoothing of Noisy Spatial Temporal SeriesValter Di Giacinto, Ian dryden, Luigi ippoliti, Luca RomagnoliThe main objective of the study is the development of a linear filter to extract the signal from a spatio-temporal series affected by measurement error. We assume that the evolution of the unobservable signal can be modelled by a space time autoregressive process. In its vectorial form, the model admits a state space representation allowing the direct application of the … …Journal of Mathematics and Statistics, Vol. 1, Issue 4 · 31 Dec 2005 · 6,314 accessesView PDFCite
Research ArticleOpen accessIn the abstractβ-Spline Estimation in a Semiparametric Regression Model with Nonlinear Time Series ErrorsJinhong You, Gemai Chen, Xian ZhouWe study the estimation problems for a partly linear regression model with a nonlinear time series error structure. The model consists of a parametric linear component for the regression coefficients and a nonparametric nonlinear component. The random errors are unobservable and modeled by a first-order Markov bilinear process. Based on a B-spline series approximation of the nonlinear component function, we … …American Journal of Applied Sciences, Vol. 2, Issue 9 · 30 Sep 2005 · 6,737 accessesView PDFCite
Research ArticleOpen accessIn the abstractAdvanced Multivariate Time Series Forecasting ModelsMiss Lei WangIn this study, the focus is to collect and summarize various advanced forecasting models for multivariate time series dataset. We have discussed about the inherent forecasting strengths and weaknesses related to these time series modelings. Also, the main section deal with the experience of using such data in econometric analysis. Besides, the implementation of SAS and R softwares improve the … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 21 Dec 2018 · 7,323 accessesView PDFCite
Research ArticleOpen accessIn the abstractBurr-X Model Estimate using Bayesian and non-Bayesian ApproachesAbdullah Y. Al-HossainThe present paper is aimed at developing Bayesian and Maximum Likelihood estimations (ML) of the Burr type-X model of distribution when data are gathered from Type-II cumulative censoring with binomial eliminations. The procedures for getting the (ML) evaluations of the parameters are examined. The Bayes technique to get both point and interval estimators of the parameters are illustrated. The expected … …Journal of Mathematics and Statistics, Vol. 12, Issue 2 · 6 May 2016 · 7,215 accessesView PDFCite
Research ArticleOpen accessIn the abstractShort Period Spectral Acceleration Zonation of Tehran a Comparison between Slip and Activity Rates Data’sHadi Jarahi, Noushin Naraghiaraghi, Malihe NadalianThis study presents seismic hazard analysis and provides spectral iso acceleration maps based on slip rate (SR) and also activity rate (AR) of the faults. Nowadays modern seismic design of structures is complicated so special attention to the nature of the seismicity in active seismic zones like Tehran is required. Many studies, based on seismic hazard analysis have been done … …Current Research in Geoscience, Vol. 6, Issue 1 · 18 Feb 2016 · 8,267 accessesView PDFCite