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49 articles for “Maximum likelihood estimate”
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Research ArticleOpen accessIn the keywordsExistence and Uniqueness Conditions for the Maximum Likelihood Solution In Regression Models For Correlated Bernoulli Random VariablesDavid Todem, KyungMann KimWe give sufficient and necessary conditions for the existence of the maximum likelihood estimate in a class of multivariate regression models for correlated Bernoulli random variables. The models use the concept of threshold crossing technique of an underlying multivariate latent variable with univariate components formulated as a linear regression model. However, in place of their Gaussian assumptions, any specified distribution … …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 6,838 accessesView PDFCite
Research ArticleOpen accessIn the abstractBayesian Estimation for Lomax Distribution: A Comparison of Loss Functions Using Jeffreys PriorsHuda Mohammed AlomariThis study investigates the estimation of the shape parameter for the Lomax distribution using complete data. We compare the performance of the classical Maximum Likelihood Estimation (MLE) method against the Bayesian framework. Within the Bayesian approach, three distinct loss functions were utilized: the linear exponential (LINEX), general entropy, and weighted general entropy loss functions. The precision of these estimators was … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 24 Dec 2025 · 2,635 accessesView PDFCite
Research ArticleOpen accessIn the abstractAlpha Power Inverted Exponentiated Weibull Distribution with Data ApplicationsAbdulkareem M. BasheerA novel extension of the Inverted Exponentiated Weibull (IEW) distribution is achieved through the utilization of the generator Alpha Power (AP) transformation. The resulting extended distribution is denoted as the Alpha Power Inverted Exponentiated Weibull (APIEW) distribution, which encompasses various sub-models. The statistical characteristics of the newly proposed distribution are established, encompassing the hazard rate function, mean residual life, mean … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 21 Dec 2024 · 8,370 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Empirical Study of Robust Modified Recursive Fits of Moving Average ModelsMohamed Ali Ismail, Hend A. Auda, Joe W. McKean, Mahmoud Mohamed SadekThe time-series Moving Average (MA) model is a nonlinear model; see, for example. For traditional Least Squares (LS) fits, there are several algorithms to use for computing its fit. Since the model is nonlinear, Fuller discusses a Newton-type step algorithm. proposed a recursive algorithm based on a sequence of three linear LS regressions. In this study, we robustify Koreisha and … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 28 Jul 2022 · 5,859 accessesView PDFCite
Research ArticleOpen accessIn the abstractRobust Modelling of Coronavirus Cases in Egypt: Poisson INARCH and Negative Binomial INARCHHanan ElsaiedThis study compares robust Poisson INARCH(P) models (more briefly: RP-INARCH) and robust negative binomial INARCH(p) models (more briefly: RNB-INARCH) to fit the new daily confirmed cases for the first wave of COVID 19 in Egypt. The robust estimation of these models is based on some modifications of the Conditional Maximum Likelihood Estimates (CMLE). The simulation results show that RNB-INARCH is … …Journal of Mathematics and Statistics, Vol. 17, Issue 1 · 23 Jun 2021 · 7,116 accessesView PDFCite
Research ArticleOpen accessIn the abstractExponentiated Exponential Weibull Distribution: Mathematical Properties and ApplicationDawlah AlsulamiAn Exponentiated Exponential Weibull Distribution (EEWD) is proposed. Some statistical properties of the proposed distribution are studied. The Maximum Likelihood method (ML) is applied to estimate the model parameters. The efficiency of the ML estimates of the proposed model is demonstrated using a Monte Carlo simulation study with different samples sizes. Moreover, real data set application is provided to show … …American Journal of Applied Sciences, Vol. 17, Issue 1 · 4 Sep 2020 · 7,331 accessesView PDFCite
Research ArticleOpen accessIn the abstractWarranty Cost Models using Accelerated Life Tests on Dagum DistributionEman A. El-Dessouky NassefWarranty one of the main factors which effect on the decision to purchase any product whether it is non repairable or repairable, therefore, in market the manufacturers can compete by using warranty service. The cost of warranty are wanted to predict which are mirrored on the price and profitability of products. To achieve this goal, the research is concerned with … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 3 Aug 2020 · 6,188 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 abstractJoint Modelling of Longitudinal-Time-To-Event with Categorical Variable Indicators of Latent Classes: Application to Tuberculosis DataAdeboye Azeez, Mutambayi Ruffin, Ndege James, Qin YongsongIn many clinical and reliability research reports, the outcomes of basic interest is the time to a particular event happens in order to indicate the person’s “true” state of health or survival status. Different models have been used to analyze such data separately, but may be unsuitable if the longitudinal and health status measures are correlated. In this study, mixed … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 9 Jun 2020 · 6,686 accessesView PDFCite
Research ArticleOpen accessIn the abstractUsing a Hierarchical Weibull model to Predict Failure Strength of Different Glass Edge ProfilesDavid Thomas Kinsella, Johan LindströmThe edge strength of glass is analyzed using a Weibull statistical framework based on 78 data samples from a range of experiments recorded in literature. Based on the analysis, a 45 MPa strength value (computed as the lower bound in a one-sided confidence interval at the 75% level for the 5-percentile in the distribution) could be conservatively used with arrised, … …International Journal of Structural Glass and Advanced Materials Research, Vol. 4, Issue 1 · 30 Apr 2020 · 8,274 accessesView PDFCite