Power Xgamma distribution: properties, estimation, regression, simulation and applications by Okechukwu Obulezi, Precious Ibeakuzie, Ifeanyi Anabike, Chinyere Igbokwe, Harrison Etaga

“…The estimation of the parameters was done using the maximum likelihood method. The study’s uniqueness is in developing a parametric regression model capable of competing with the classical regression model and also useful in the face of censored data. …”
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A New Residual Life Prediction Method for Complex Systems Based on Wiener Process and Evidential Reasoning by Xin Zhang, Shuaiwen Tang, Taoyuan Liu, Bangcheng Zhang

“…For the residual life prediction of complex systems, the maximum likelihood method is adopted to estimate the drift coefficient, and the Bayesian method is adopted to update the parameters of Wiener process. …”
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A Novel Massive Big Data Analysis of Educational Examination Research Using a Linear Mixed-Effects Model by Jing Zhao, Yiwen Wang

“…First, a three-step estimation method is proposed to improve the parameters of the linear-effects model, avoiding the complicated iterative steps of maximum likelihood estimation. Second, we perform spectral clustering based on test data on the basis of defining data attributes and basic evaluation rules. …”
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RELIABILITY ESTIMATION OF MECHANICAL SEALS BASED ON ARTIFICIAL HUMMINGBIRD ALGORITHM AND THREE⁃PARAMETER WEIBULL DISTRIBUTION by LI AnHong, ZHU JunHua, YU Ling

“…In order to quickly and accurately evaluate the reliability of mechanical seals,the three⁃parameter Weibull distribution was used to model the mechanical seal failure data.The reliability evaluation problem of mechanical seal was transformed into a constraint optimization problem,and a reliability evaluation method based on artificial hummingbird algorithm(AHA)was proposed.Through numerical simulation and case analysis,maximum likelihood estimation(MLE),improved Harris Hawks optimization(IHHO)algorithm and AHA were used to compare calculation accuracy and operational efficiency in solving the Weibull distribution parameter estimation problems.The results show that the parameter estimation using AHA has advantages of faster convergence speed and higher accuracy,and it can shorten the optimization time and improve the accuracy compared with MLE algorithm and IHHO algorithm,which provides a new and efficient method for Weibull parameter estimation of mechanical seals.…”
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The Redox System in C. elegans, a Phylogenetic Approach by Andrew D. Johnston, Paul R. Ebert

“…We use protein sequences from central redox systems in Homo sapiens, Drosophila melanogaster, and Saccharomyces cerevisiae to query Genbank for homologous proteins in C. elegans. We then use maximum likelihood phylogenetic analysis to compare protein families between C. elegans and the other organisms to facilitate future research into the genetics of redox biology.…”
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Application of cayley differential unitary space-time code in multiple-input multiple-output power line communication by Jiaxin DING, Liangfang NI, Yi WANG, Huijie DAI

“…The application of Cayley differential unitary space-time code in MIMO power line communication system was studied.The linear space of complex skew-Hermitian matrices was mapped to isotropic unitary matrix constellations represented by highly non-linear Stiefel manifolds,by which signals were transmitted through a block fading multiple input multiple output power line channel with in a differential mode.Finally,based on the unconstrained solution of the Cauchy random by which data streams were represented,the approximate linear maximum likelihood estimation of the transmitted signal was induced.Simulation results show that although the performance of the proposed scheme is slightly lower than that of the system based on orthogonal differential space-time code in terms of bit error rate and diversity gain,it can ensure high-speed and reliable communication at higher signal-to-noise ratios,and is suitable for multi-input multi-output power line communication systems requiring high-speed data transmission.…”
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PARAMETER ESTIMATION AND CONFIDENCE LIMIT CALCUALTION METHOD OF THREE-PARAMETER WEIBULL DISTRIBUTION by ZHANG JianFeng, XU Fang, ZHANG Yan, HUANG XiaoBo, JIA ZhuoHan

“…A correlation-regression method was proposed to solve the problem of low accuracy of parameter estimation and confidence limit calculation of the three-parameter Weibull distribution.The method was combined by the correlation coefficient method （Fu method） and the nonlinear regression method which makes full use of the convenience of Fu method and the excellent estimation effect of the nonlinear regression method in estimating the three-parameter Weibull distribution.In order to verify the effectiveness of the proposed method，the correlation-regression method，Fu method and Method combining maximum likelihood estimation and empirical formulae (referred to as the “MMPDS method”） were applied to the parameter estimation and confidence limit calculation of the data distribution of a certain alloy strength value with different sample sizes，and calculation consequence of different methods was compared and analyzed.Results show that the correlation-regression method has highest parameter estimation and confidence limit calculation accuracy among the above methods.When the sample size is less than 100，its advantage is more significant，and it can accurately calculate the parameters and confidence limits of the Weibull distribution.…”
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RELIABILITY ANALYSIS OF FAILURE RELATED MECHANICAL PARTS BASED ON VINE COPULA MODEL by HU QiGuo, ZHOU Song

“…Based on the Vine Copula function,the reliability problem of mechanical parts related to complex and multi-failure is transformed into the analysis of multiple two-dimensional Copula functions,optimal two-dimensional Copula function is identified by using maximum likelihood estimation and AIC information criterion. …”
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The first complete mitochondrial genome sequence of the common Baya weaverbird (Ploceus philippinus) from southern India by Venkatesh Nagarajan-Radha, Subanithi-Purnima Murugan, Paramanantha Swami Doss Devaraj

“…The circular mitochondrial genome of 16,867 bp contains 13 protein-coding genes, 22 transfer RNAs, two ribosomal RNAs (12S and 16S subunits), and a non-coding control region. A maximum-likelihood phylogenetic tree analysis placed P. philippinus and P. nigricollis weaverbirds in a separate clade among other bird species. …”
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An Approximation of Minimum Initial Capital of Investment Discrete Time Surplus Process with Weibull Distribution in a Reinsurance Company by Soontorn Boonta, Somchit Boonthiem

“…We compare the parameter estimation using a direct search method with other frequently used methods, such as the least squares method, the maximum likelihood estimation, and the method of moments. …”
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Properties and Applications of the Modified Kies–Lomax Distribution with Estimation Methods by Abdelaziz Alsubie

“…The results show that the maximum product of spacings and maximum likelihood approaches are recommended to estimate the MKL parameters. …”
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RELIABILITY PREDICTION METHOD BASED ON THE 3CAW DISTRIBUTION (MT) by FAN LiTian, QI HongLiang, CHEN HongWen

“…This article discusses the use of maximum likelihood estimation to estimate the unknown parameters of the 3CAW distribution, and calculate reliability and failure rate as reliability indicators. …”
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AOA, Delay, and Complex Propagation Factor Estimation for the Monostatic MIMO Radar System by Saleh O. Al-Jazzar, Sami Aldalahmeh

“…These estimates can be used as initializations for other MIMO radar methods, such as the maximum likelihood algorithm. Simulation results show significantly low root mean square error (RMSE) for AOAs and complex propagation factors. …”
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Perfect space-time block codes and high performance decoding algorithm by HU Jun-feng1, YANG Yuan1, ZHANG Hai-lin1

“…Based on the structure of perfect space-time block codes（STBC）,an equivalent vertical Bell Laboratories layered space-time（V-BLAST） decoding model was given.Minimum mean-square error decision feedback equalizer（MMSE-DFE） was used to preprocess this model and a decoder with boundary controlled Fano tree search algorithm was proposed.This decoder achieves almost maximum likelihood（ML） decoding performance and applies for any antenna configurations.For a wide range of signal-to-noise ratio（SNR）,the decoder has lower computational complexity than that of previously proposed near-ML decoders.Operating in complex number field,the decoder is robust for any constellations.The decoder can apply for any multi-input multi-output（MIMO） systems that can be transformed into an equivalent V-BLAST model.Simulation results demonstrate the excellent performance of the proposed decoder.…”
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The Structure of an Automatic Decision System for a Large Number of Independent Particle Detectors by Andreea Rodica Sterian

“…Based on this analytical model of Poisson type, the structure of an automatic decision system based on the decision criterion of maximum a posteriori probability (MAP) or the maximum likelihood (ML) criterion is proposed. The purpose of the system is to analyze the exit from the measurement process and to decode the message transmitted, taking into account the presence of the noise which generates errors in the decoder. …”
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A Bayesian Markov Framework for Modeling Breast Cancer Progression by Tong Wu

“…Parameters are estimated utilizing maximum likelihood estimation and Bayesian models with Gibbs sampling to ensure robustness and methodological rigor. …”
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EFMDR-Fast: An Application of Empirical Fuzzy Multifactor Dimensionality Reduction for Fast Execution by Sangseob Leem, Taesung Park

“…Fuzzy-MDR is expanded by a maximum likelihood estimator as a new membership function in empirical fuzzy MDR (EFMDR). …”
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A method of vulnerability assessment for power communication network based on mechanical model by Yaosheng WANG, Yingmin ZHANG, Chang WANG

“…In the process of business statistics, the maximum likelihood estimation of the time-slotted time slot was adopted, and the parameters of the service were estimated by using the Poisson process as a statistical background. …”
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On using a non-probability sample for the estimation of population parameters by Ieva Burakauskaitė, Andrius Čiginas

“…We consider two modeling scenarios: with an assumption that the willingness to participate in the voluntary survey does not depend on the survey variable itself and that such a variable does contribute to whether the individual responds or not. The maximum likelihood method is applied in both scenarios to estimate the propensity scores. …”
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Long Short-Term Memory Recurrent Neural Network for Predicting the Return of Rate Underframe the Fama-French 5 Factor by Bui Thanh Khoa, Tran Trong Huynh

“…Two approaches are employed in the Fama-French model: Long Short Term Memory Recurrent Neural Network (LSTM-RNN) and Maximum Likelihood Estimation (MLE). From January 1, 2010, through March 3, 2022, the stock market in Ho Chi Minh City was experimentally researched. …”
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