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26 results for “Normality”
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Research ArticleOpen accessEvery word in the titleStatistical Size and Power of Eight Normality Tests in Presence of GARCH (1 1) ErrorsJulio César Alonso, Daniela EstradaIn this work, we assess the power and size of eight normality tests underthe assumption that errors follow a GARCH (1, 1) process by using MonteCarlo simulations. Four results stand out. First, the presence of a GARCH(1, 1) process increases the probability of making type I error. Second, Pearsonnormality test is recommended if it is assumed that errors follow a … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 11 Feb 2019 · 6,992 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Study on the Effects of Non-Normality on the Performances of Max-DEWMA Versus SS-DEWMA ChartsTeh Sin Yin, Michael Khoo Boon ChongProblem statement: The called the Sum of Squares Double Exponentially Weighted Moving Average (SS-DEWMA) chart which is effective in detecting shifts in the mean and/or variance is compared with the Max-DEWMA (called the maximum double exponentially weighted moving average) chart. The comparison is based on the assumption that the distribution of the quality characteristic of the process is normal or … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 18 Jan 2012 · 7,188 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Robust Rescaled Moment Test for Normality in RegressionMd. Sohel Rana, Habshah Midi, A.H.M. Rahmatullah ImonProblem statement: Most of the statistical procedures heavily depend on normality assumption of observations. In regression, we assumed that the random disturbances were normally distributed. Since the disturbances were unobserved, normality tests were done on regression residuals. But it is now evident that normality tests on residuals suffer from superimposed normality and often possess very poor power. Approach: This study … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 8,260 accessesView PDFCite
Research ArticleOpen accessIn the keywordsRobust Linear Discriminant AnalysisSharipah Soaad Syed Yahaya, Yai-Fung Lim, Hazlina Ali, Zurni OmarLinear Discriminant Analysis (LDA) is the most commonly employed method for classification. This method which creates a linear discriminant function yields optimal classification rule between two or more groups under the assumptions of normality and homoscedasticity (equal covariance matrices). However, the calculation of parametric LDA highly relies on the sample mean vectors and pooled sample covariance matrix which are sensitive … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 4 Jan 2017 · 7,649 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAsymptotic Properties of Spectral Estimates of Second-Order with Missed ObservationsG. S. Mokaddis, M. A. Ghazal, A. E. El-DesokeyProblem statement: As a complement of the periodogram study the asymptotic properties of the spectral density using data window for stationary stochastic process are investigated. Some statistical properties of covariance estimation function with missing observations are studied. Approach: The asymptotic normality was discussed. A numerical example was discussed by using computer programming. Results: The study of time series with missed … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,496 accessesView PDFCite
Research ArticleOpen accessIn the keywordsKernel Type Estimator and Statistical Properties for Intensity Function of Periodic Poisson Process with Power Function TrendRo’fah Nur RachmawatiProblem statement: In this study, we construct the estimation for a periodic component of the intensity function of a periodic Poisson process in the presence of power function trend by using the general kernel function. Beside that we also construct the statistical properties of the estimator. Approach: It is considered the worst case where there is only available a single … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 6 Nov 2012 · 7,293 accessesView PDFCite
Research ArticleOpen accessIn the keywordsβ-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 · 6,734 accessesView PDFCite
Research ArticleOpen accessIn the abstractIntegrated Assessment of Water Resource Sustainability in the Upper Amojú River Basin, Northern Peruvian AndesJuan Eduardo Suarez-Rivadeneira, Freddy A. Manayay, Mayra Pamela Musayón Diaz et al.This study presents a comprehensive, statistically robust assessment of water resource sustainability in the upper section of the Amojú River Basin, Province of Jaén northern Peruvian Andes, using the Sarandón multi-cirteria methodology. A stratified convenience sample of n = 887 households distributed across 22 localities was surveyed, achieving a margin of error of ±2.61% at the 95% confidence level (finite-population … …OnLine Journal of Biological Sciences, Vol. 26, Issue 4 · 26 Sep 2026 · 719 accessesView PDFCite
Research ArticleOpen accessIn the abstractAbsolute Measures of Interindividual Variation: A Simulation StudyJosé Moral-de la RubiaFour absolute measures and one relative measure of interindividual variability have been defined, together with their point and interval estimation (bootstrap and asymptotic), and an R script has been developed for their computation. However, further simulation studies are required to strengthen their methodological evaluation. This study focused on the three absolute measures with potentially better regularity conditions, Mean Interindividual Differences … …Journal of Mathematics and Statistics, Vol. 22, Issue 1 · 4 Aug 2026 · 957 accessesView PDFCite
Research ArticleOpen accessIn the abstractBond Strength of Bioactive vs. Conventional Resin Composites on Dentin Cleaned with Ozonated Water: An In Vitro StudyFernanda Rafaela Ribeiro, Anna Caroliny Detogni, Julio Katuhide Ueda et al.This study aimed to compare the micro tensile bond strength (μTBS) of bioactive and conventional resin composite to human dentin after the use of ozonated water (AO) as a cavity cleaning solution. A total of 32healthy human third molars were randomly assigned to four groups (n = 8)based on the type of composite and dentin cleaning. The first group received … …Current Research in Dentistry, Vol. 16, Issue 1 · 9 Jun 2025 · 6,312 accessesView PDFCite