Research ArticleOpen accessIn the keywordsBoosted Regression Estimates of Spatial Data: Pointwise InferenceMarco Di Marzio, Charles C. TaylorIn this study simple nonparametric techniques have been adopted to estimate the trend surface of the Swiss rainfall data. In particular we employed the Nadaraya-Watson smoother and in addition, an adapted-by boosting-version of it. Additionally, we have explored the use of the Nadaraya-Watson estimator for the construction of pointwise confidence intervals. Overall, boosting does seem to improve the estimate as … …Journal of Mathematics and Statistics, Vol. 1, Issue 4 · 31 Dec 2005 · 6,349 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 keywordsEstimation of the Extreme Value Type I Distribution by the Method of LQ-MomentsAni Shabri, Abdul Aziz JemainProblem statement: The study evaluated the effectiveness of the various quantile estimators of the LQ-moments method for estimating parameters of the Extreme Value Type 1 (EV1) distribution. Approach: The performances of the LQ-moments were analyzed and compared against a widely used method of L-moments by using simulated samples of both EV1 and generalized Lambda distribution, focusing on small and moderate … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,040 accessesView PDFCite
Research ArticleOpen accessIn the keywordsPercentile Double Ranked Set SamplingAmer Ibrahim Al-Omari, Khalifa H. JaberIn this paper, percentile double ranked set sampling (PDRSS) method is suggested for estimating the population mean. The PDRSS method is compared with the simple random sampling (SRS), ranked set sampling (RSS), median ranked set sampling (MRSS) and the extreme ranked set sampling (ERSS) methods. When the underlying distribution is symmetric, it turns out that PDRSS produce unbiased estimators of … …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 7,411 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNew Bivariate Exponentiated Modified Weibull DistributionAbdelfattah Mustafa, Mohamed A.W. MahmoudThe new modified Weibull distribution named exponentiated modified Weibull distribution introduced by many authors. In this study, we define and study a bivariate modified Weibull distribution. Some joint probability functions and conditional probability density function are obtained. Also, joint survival function is expressed in compact form. Several statistical properties of this distribution are discussed. In the area of stress-strength models, … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 31 Oct 2017 · 7,000 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA New Bivariate Distribution with Generalized Quadratic Hazard Rate MarginalsAbdelfattah MustafaRecently, Sarhan (2009) introduced a new distribution named generalized quadratic hazard rate distribution. In this study, we define a bivariate Generalized Quadratic Hazard Rate Distribution (BGQHRD). The joint cumulative distribution function and joint survival function are derived in compact forms. Several properties of BGQFRD have been discussed. The conditional probability density function, rth moments and joint and marginal moment generating … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 3 Nov 2016 · 6,749 accessesView PDFCite
Research ArticleOpen accessIn the keywordsParameter Estimation for the Double Pareto DistributionFaris M. Al-AthariProblem statement: The double Pareto distribution appeared most often as model for variety of fields, including archaeology, biology, economics, environmental science, finance and physics. The distribution exhibits Paretian power-law behavior in both tails. The family of double Pareto distributions has recently been proposed for modeling growth rates such as annual gross domestic product, stock prices, foreign currency exchange rates and … …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 8,674 accessesView PDFCite
Research ArticleOpen accessIn the keywordsKernel Density Estimation for Interdeparture Time of GI/G/1 QueuesHsing Luh, Berlin WuThe departure process of a single queue has been studied since the 1960s. Due to its inherent complexity, closed form solutions for the distribution of the departure process are nearly intractable. In this study, kernel type estimators of the density of interdeparture time in a GI/G/1 queue are studied. Uniform strong consistency of the estimators in a GI/G/1 queue and … …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 6,585 accessesView PDFCite
Research ArticleOpen accessIn the keywordsHEALTH BROKEN WOVEN POISSON SPHERES TO MANAGE DEADLY EBOLA INCIDENCESRamalingam ShanmugamThe deadly infectious Ebola incidences scare not only to the residents of western Africa but also to the travelers and medical professionals who treat the patients, as they became victims. Since 27 July until 13 August 2014 alone, about 2,127 Ebola cases occurred in just four Western African countries: Guinea, Liberia, Nigeria and Sierra Leone and more than 50% of … …American Journal of Infectious Diseases, Vol. 10, Issue 3 · 15 Oct 2014 · 6,685 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTruncated Estimate in Log-Binomial Model: Algorithm and SimulationLuyan Dai, Yang Li, Ye ShenProblem statement: Relative risk has concrete meanings of comparing two groups and measuring the association between exposures and outcomes in medical and public health studies. Log-binomial model, using a log link function on binary outcomes, is straightforward to estimate risk ratios, whereas generates boundary problems. When the estimates are located near the boundary of constrained parameter space, common approaches or … …Current Research in Biostatistics, Vol. 2, Issue 1 · 7 May 2012 · 8,291 accessesView PDFCite