Some conjectures concerning Gauss sums.
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Alternative Approaches for Estimating Highest‐Density Regions
Summary Among the variety of statistical intervals, highest‐density regions (HDRs) stand out for their ability to effectively summarise a distribution or sample, unveiling its distinctive and salient features. An HDR represents the minimum size set that satisfies a certain probability coverage, and current methods for their computation require ...
Nina Deliu, Brunero Liseo
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Optimization of clustering parameters for single-cell RNA analysis using intrinsic goodness metrics. [PDF]
Sciaraffa N +3 more
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Specification Tests for Jump‐Diffusion Models Based on the Characteristic Function
Summary Goodness‐of‐fit tests are suggested for several popular jump‐diffusion processes. The suggested test statistics utilise the marginal characteristic function of the model and its L2‐type discrepancy from an empirical counterpart. Model parameters are estimated either by minimising the aforementioned L2‐type discrepancy or by maximum likelihood ...
Gerrit Lodewicus Grobler +3 more
wiley +1 more source
Random Phase Approximation Correlation Energy Using Real-Space Density Functional Perturbation Theory. [PDF]
Zhang B +4 more
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Financial Time Series Uncertainty: A Review of Probabilistic AI Applications
ABSTRACT Probabilistic machine learning models offer a distinct advantage over traditional deterministic approaches by quantifying both epistemic uncertainty (stemming from limited data or model knowledge) and aleatoric uncertainty (due to inherent randomness in the data), along with full distributional forecasts.
Sivert Eggen +4 more
wiley +1 more source
A Review: Construction of Statistical Distributions. [PDF]
Fang KT, Lin YX, Deng YH.
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Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. [PDF]
Qi F, Huang CJ.
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ABSTRACT There is an increased proportion of studies using quantile‐based regression methodology (QR) in economics. They offer a robust alternative to classical mean regressions, which can estimate non‐normal variables with distributional heterogeneity in the dependent variable.
Shajara Ul‐Durar +4 more
wiley +1 more source
Metabolic and Structural Alterations in the Motor System Following Spinal Cord Injury: An In-Vivo <sup>1</sup>H-MR Spectroscopy Investigation. [PDF]
Schading-Sassenhausen S +8 more
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