The unit normal loss integral (UNLI) is widely used in decision analysis and risk modeling, including in the computation of various value-of-information metrics, but its closed-form solution is only applicable to comparisons of 2 strategies.We derive a closed-form solution for 2-dimensional UNLI, extending the applicability of the UNLI to 3-strategy comparisons.Such closed-form computation takes only a fraction of a second and is free from simulation errors that affect the hitherto available methods.In addition to the relevance in 3-strategy model-based and data-driven decision analyses, a particular application is in risk prediction modeling, where the net benefit of a classifier should always be compared with 2 default strategies of treating none and treating all.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10336700 | PMC |
| http://dx.doi.org/10.1177/0272989X231171166 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Globally stable blowup profile for supercritical wave maps in all dimensions.
Calc Var Partial Differ Equ
January 2025
Faculty of Mathematics, Bielefeld University, Universitätsstr. 25, 33615 Bielefeld, Germany.
We consider wave maps from the -dimensional Minkowski space into the -sphere. It is known from the work of Bizoń and Biernat (Commun Math Phys 338(3): 1443-1450, 2015) that in the energy-supercritical case, i.e.
View Article and Find Full Text PDFOn Diffusiophoresis of a Soft Particle with a Hydrophobic Inner Core: A Semianalytical Study.
Langmuir
January 2025
Faculty of Pharmaceutical Sciences, Tokyo University of Sciences, 2461 Yamazaki Noda, Chiba 278-8510, Japan.
The current study deals with a theoretical analysis of diffusiophoresis of a soft particle, consisting of a hydrophobic charged rigid core coated with an ion- and fluid-penetrable charged polymer layer suspending in an electrolyte medium in reaction to an applied concentration gradient. The inner core's hydrophobicity is assumed to be characterized by a surface-charge-dependent slip length parameter. Based on a weak particle charge consideration, the governing equations describing the flow phenomena are solved theoretically to deduce a semianalytic general diffusiophoretic mobility expression applied to an arbitrary Debye layer thickness.
View Article and Find Full Text PDFJoint User Association, Power Allocation and Beamforming for NOMA-Based Integrated Satellite-Terrestrial Networks.
Entropy (Basel)
December 2024
Information Materials and Intelligent Sensing Laboratory of Anhui Province, Anhui University, Hefei 230601, China.
This paper investigated a non-orthogonal multiple access (NOMA)-based integrated satellite-terrestrial network (ISTN), where each user can select to access a terrestrial base station (BS) or the satellite according to the capacity of BS and their individual transmission requirements. A two-stage algorithm is proposed to solve the achievable sum rate maximizing resource optimization problem. In the first stage, user associations are determined based on individual preference lists and the backhaul capacities of the access points (APs).
View Article and Find Full Text PDFBrock's approaching zero method improved as approaching fixed point frequency to solve optimum damping ratio of dynamic vibration absorber in machine tools and experimental confirmation.
PLoS One
December 2024
College of Mechanical and Power Engineering, China Three Gorges University, Yichang, Hubei, The People's Republic of China.
The design parameters of the dynamic vibration absorber significantly affect the motion performance of the main vibration system. The Brock's approaching zero method was improved as approaching the fixed point frequency method. A general method of obtaining the explicit exact solution to the optimum damping ratio was presented to improve the accuracy of calculating the dynamic vibration absorber's optimum parameter.
View Article and Find Full Text PDFA novel technique using integral transforms and residual functions for nonlinear partial fractional differential equations involving Caputo derivatives.
PLoS One
December 2024
Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, Istanbul, Turkey.
Fractional nonlinear partial differential equations are used in many scientific fields to model various processes, although most of these equations lack closed-form solutions. For this reason, methods for approximating solutions that occasionally yield closed-form solutions are crucial for solving these equations. This study introduces a novel technique that combines the residual function and a modified fractional power series with the Elzaki transform to solve various nonlinear problems within the Caputo derivative framework.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!