Research ArticleOpen accessIn the keywordsUnivariate Generalized Additive Models for Simulated Stationary and Non-Stationary Generalized Pareto DistributionMostafa Behzadi, Mohd Bakri Adam, Anwar FitriantoGeneralized additive models as a predictor in regression approaches, are made up over cubic spline basis and penalized regression splines. Despite of linear predictor in GLM, generalized additive models use a sum of smooth functions of covariates as a predictor. The data which are used in this study have generalized Pareto distribution and have been simulated by inversion method. The … …Journal of Mathematics and Statistics, Vol. 13, Issue 2 · 3 Jun 2017 · 7,430 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 keywordsSpline Estimator in Multi-Response Nonparametric Regression Model with Unequal Correlation of ErrorsBudi Lestari, I. Nyoman Budiantara, Sony Sunaryo, Muhammad MashuriProblem statement: In many applications two or more dependent variables are observed at several values of the independent variables, such as at time points. The statistical problems are to estimate functions that model their dependences on the independent variables and to investigate relationships between these functions. Nonparametric regression model, especially smoothing splines provide powerful tools to model the functions which … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 8,168 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 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
Research ArticleOpen accessIn the abstractAn Evolution Framework for Evaluating Intelligent Spectrum Sensing Mechanisms in Cognitive RadioArchana Krishnamuthy, Sudhindra Kumbhashi RajgopalCognitive radio technology has advanced to address the challenge of limited spectrum availability by employing spectrum sensing techniques. This process is framed as a detection problem involving two core hypotheses: Hypo-0 and Hypo-1. Hypo-0 represents the scenario where only noise is present, and its modeling depends on parameters such as the number of observed samples, the timing of signal acquisition, … …Journal of Computer Science, Vol. 21, Issue 8 · 4 Sep 2025 · 5,807 accessesView PDFCite
Research ArticleOpen accessIn the abstractSome Cubic Transmuted Exponentiated Pareto-1 DistributionHussein EledumIn this study, we introduce two new generalized versions of the Exponentiated Pareto-I distribution called (CTEP-I-G) and (CTEP-I-R). Statistical properties of the two distributions such as reliability function, hazard function, moments and moment generating function are studied. Models parameters are estimated by the maximum likelihood method. Finally, an application of CTEP-I-G and CTEP-I-R distributions to two real datasets and compared … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 14 Jul 2020 · 6,062 accessesView PDFCite
Research ArticleOpen accessIn the abstractPoisson Quasi-Maximum Likelihood Estimator-based CUSUM Test for Integer-Valued Time SeriesSangyeol LeeThis study considers the parameter change test for integer-valued time series models based on the Poisson quasi-maximum likelihood estimates. As a change point test, we consider the score vector-based CUSUM test and show that its limiting null distribution takes the form of a function of Brownian bridges. Moreover, the residual-based CUSUM tests are considered as alternatives. For evaluation, we conduct … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 1 Oct 2019 · 7,650 accessesView PDFCite
Research ArticleOpen accessIn the abstractStatistical Modeling of Temperature Extremes Behaviour in GhanaTwumasi-Ankrah Sampson, Nyantakyi Agyei KwadwoThis paper focuses on modeling the extreme maximum temperature in Ghana using the extreme value theory. This is to inform decision-makers to help them plan appropriate risk mitigating measures to reduce the damage caused by drought. The block maxima with Generalized Extreme Value (GEV) and the General Pareto (GP) (with “all excesses” and decluster peaks) were used on 113 years … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 10 Jan 2019 · 7,117 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Odds Generalized Exponential-Power Lomax DistributionSalwa Mahmoud AssarA new distribution, called odds generalized exponential-power Lomax distribution is suggested for modeling lifetime data. Some structural properties of the new distribution including; quantiles, Rényi entropy, moments and distribution of order statistics are provided. The model parameters of the new distribution are estimated by the maximum likelihood method. Finally, applications to two real data sets are analyzed to illustrate the … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 12 Jun 2018 · 7,567 accessesView PDFCite