Research ArticleOpen accessIn the keywordsOn Using Conventional and TL moments for the Estimation of a Mixture of Exponential Distributions, A Theoretical ReviewHabib Ahmed ElsayirThis paper focuses on derivation of a mixture of exponential distribution and Linear Moments (LM) and Trimmed Linear moments (TL) is derived for estimation of its parameters. A comparison was made between L-moments, TL-moments of two component mixture of exponential distributions and conventional moments. In intensive simulation study, empirical study results are in the favor of conventional moments, the reason … …American Journal of Applied Sciences, Vol. 17, Issue 1 · 23 May 2020 · 7,089 accessesView PDFCite
Research ArticleOpen accessIn the keywordsEstimation and Reliability for a Special Type of Semi-Markov ProcessVlad Stefan Barbu, Alex Karagrigoriou, Andreas MakridesThis work deals with multi-state systems modelled by means of semi-Markov processes. The sojourn times are seen to be independent not identically distributed random variables and assumed to belong to one of two different general classes of distributions so that the first class is closed under maxima and the second one is closed under minima. We obtain maximum likelihood estimators … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 20 Oct 2019 · 7,047 accessesView PDFCite
Research ArticleOpen accessIn the keywordsENHANCEMENT AND COMPARISON OF ANT COLONY OPTIMIZATION FOR SOFTWARE RELIABILITY MODELSLatha Shanmugam, Lilly FlorenceIn Common parlance, the traditional software reliability estimation methods often rely on assumptions like statistical distributions that are often dubious and unrealistic. The ability to predict the number of faults during development phase and a proper testing process helps in specifying timely release of software and efficient management of project resources. In the Present Study Enhancement and Comparison of Ant … …Journal of Computer Science, Vol. 9, Issue 9 · 6 Aug 2013 · 6,561 accessesView PDFCite
Research ArticleOpen accessIn the keywordsESTIMATION OF WEIBULL PARAMETERS USING A RANDOMIZED NEIGHBORHOOD SEARCH FOR THE SEVERITY OF FIRE ACCIDENTSSoontorn Boonta, Anchalee Sattayatham, Pairote SattayathamIn this study, we applied Randomized Neighborhood Search (RNS) to estimate the Weibull parameters to determine the severity of fire accidents; the data were provided by the Thai Reinsurance Public Co., Ltd. We compared this technique with other frequently-used techniques: the Maximum Likelihood Estimator (MLE), the Method of Moments (MOM), the Least Squares Method (LSM) and the weighted least squares … …Journal of Mathematics and Statistics, Vol. 9, Issue 1 · 15 Mar 2013 · 6,928 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSimulation Model of Brushless Excitation SystemAhmed N. Abd AllaExcitation system is key element in the dynamic performance of electric power systems, accurate excitation models are of great importance in simulating and investigating the power system transient phenomena. Parameter identification of the Brushless excitation system was presented. First a block diagram for the EXS parameter was proposed based on the documents and maps in the power station. To identify … …American Journal of Applied Sciences, Vol. 4, Issue 12 · 31 Dec 2007 · 7,522 accessesView PDFCite
Research ArticleOpen accessIn the abstractParameter-Expanded Data Augmentation for Analyzing Nominal Data With Missing Values Using Multinomial Probit ModelsSuwash Silwal, Xiao ZhangNominal data occur in many scientific fields, such as health-related studies, transportation, and econometrics. Due to the ubiquitousness of missing data, it is inevitable to analyze nominal data with missing values. As is well known, statistical methods for analyzing nominal variables are quite limited. The Multinomial Probit (MNP) model has been an essential tool for analyzing nominal categorical data, but … …Journal of Mathematics and Statistics, Vol. 22, Issue 1 · 23 May 2026 · 1,804 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 abstractMANAT: A Filtering-Based Method for Denoising Nonuniform Photogrammetric Point CloudsYun Sin Chong, Hui Hui Wang, Yin Chai WangThree-dimensional point clouds reconstructed from photogrammetry often exhibit noise and non-uniform sampling density, which challenges existing denoising methods that rely on precise normal estimation or extensive parameter tuning. This study presents the Multi Attribute Neighbour Attraction Technique (MANAT), a novel single-stage, density-adaptive filtering method that jointly leverages spatial position, surface normals, and color as inherent photogrammetric attributes for unified noise … …Journal of Computer Science, Vol. 22, Issue 4 · 28 Apr 2026 · 1,524 accessesView PDFCite
Research ArticleOpen accessIn the abstractGeneralized Statistical Inference for Quantiles of Two-Parameter Gamma DistributionMalwane AnandaGamma distribution is a widely used distribution to analyze data in many disciplines such as hydrology, meteorology, environmental monitoring, lifetime testing and reliability. In this study, we look at the statistical inference for the quantiles of two-parameter gamma distribution. The testing and estimation of gamma quantile are required especially in areas such as flood frequency analysis and life testing. For … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 12 Feb 2024 · 5,910 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