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Advancing Cosmological Parameter Estimation and Hubble Parameter Reconstruction with Long Short-term Memory and Efficient Kolmogorov–Arnold Networks
Published 2025-01-01“…LSTM networks are employed to extract features from observational data, enabling accurate parameter inference and posterior distribution estimation without relying on solvable likelihood functions. This method achieves performance comparable to traditional Markov Chain Monte Carlo techniques, offering a computationally efficient alternative for high-dimensional parameter spaces. …”
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Statistical inference and data analysis of the record-based transmuted Burr X model
Published 2025-02-01“…We established the shape of the probability density function and hazard function. Numerous statistical and mathematical properties are provided, including quantile function, moment, and ordered statistics of the proposed model. …”
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A New Lomax-G Family: Properties, Estimation and Applications
Published 2025-01-01“…We demonstrate the family’s flexibility to predict a wide range of lifetime events by deriving its cumulative and probability density functions. The new Lomax–Weibull distribution (NLW) is studied as a sub-model, with analytical and graphical evidence indicating its efficiency for reliability analysis and complex data modeling. …”
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Exploring the role of microbiome in cystic fibrosis clinical outcomes through a mediation analysis
Published 2025-06-01“…To address this limitation, we introduce a novel mediation framework based on structural equation modeling that leverages linear mixed-effects models using penalized quasi-likelihood estimation with a debiased lasso. We applied this framework to a 16S rRNA sputum microbiome data set collected from patients with cystic fibrosis over 10 years to investigate the mediating role of the microbiome in the relationship between clinical states, disease aggressiveness phenotypes, and lung function. …”
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A New Shifted Lomax-X Family of Distributions : Properties and Applications to Actuarial and Financial Data
Published 2025-04-01“…The main objective is to increase the adaptability and accuracy of the traditional Lomax model in the representation of complex data sets. We explore various mathematical properties of the special member called the shifted Lomax Weibull (SHL-W), including its moments, quantile function and entropy measures. …”
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A Semantic Generalization of Shannon’s Information Theory and Applications
Published 2025-04-01“…The core idea is to replace the distortion constraint with the semantic constraint, achieved by utilizing a set of truth functions as a semantic channel. These truth functions enable the expressions of semantic distortion, semantic information measures, and semantic information loss. …”
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