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Sufficient Statistics and Extreme Points
A convex set $M$ is called a simplex if there exists a subset $M_e$ of $M$ such that every $P \in M$ is the barycentre of one and only one probability measure $\mu$ concentrated on $M_e$. Elements of $M_e$ are called extreme points of $M$. To prove that a set of functions or measures is a simplex, usually the Choquet theorem on extreme points of convex
openaire +3 more sources
A 73‐Year‐Old Man With Several Years of Difficulty Climbing Stairs and Frequent Tripping
ABSTRACT A 73‐year‐old man presented with progressive weakness and atrophy predominantly affecting the distal finger flexors and quadriceps muscles. Electrophysiological studies demonstrated mixed myogenic and neurogenic features. Muscle MRI showed inflammatory changes, and muscle biopsy revealed granulomatous myositis with histologic features ...
Mehmet Can Sari +3 more
wiley +1 more source
Objective In complex diseases, it is challenging to assess a patient's disease state, trajectory, treatment exposures, and risk of multiple outcomes simultaneously, efficiently, and at the point of care. Methods We developed an interactive patient‐level data visualization and analysis tool (VAT) that automates illustration of the trajectory of a ...
Ji Soo Kim +18 more
wiley +1 more source
Soil erosion and non-point source pollution are critical global environmental issues, with profound implications for ecosystems, agricultural productivity, and water quality.
Runze Yang +10 more
doaj +1 more source
Objective Australian evidence on lived and care experiences of chronic musculoskeletal shoulder pain (CMSP), irrespective of disorder classification or disease, is limited. However, such evidence is important for person‐centered care and informing local service pathways and care guidelines or standards.
Sonia Ranelli +8 more
wiley +1 more source
A Fitness Landscape-Based Method for Extreme Point Analysis of Part Surface Morphology
Advancements in Industry 4.0 and smart manufacturing have increased the demand for precise and intricate part surface geometries, making the analysis of surface morphology essential for ensuring assembly precision and product quality. This study presents
Jinshan Sun, Wenbin Tang
doaj +1 more source
Modeling of the Extreme‐Ultraviolet and Soft X‐Ray Emission in a Solar Coronal Bright Point [PDF]
David H. Brooks, Harry P. Warren
openalex +1 more source
Objective This study aimed to determine if program format (in‐person, virtual, or hybrid) results in differences in 3‐month outcomes of pain, function, quality of life, self‐efficacy, and chair stands in a hip/knee osteoarthritis‐management program. Methods A secondary analysis of the Good Life with osteoArthritis in Denmark (GLA:D) Canada database was
Jill Van Damme +7 more
wiley +1 more source
Extreme Value Theory Approach to Simultaneous Monitoring and Thresholding of Multiple Risk Indicators [PDF]
Risk assessments often encounter extreme settings with very few or no occurrences in reality.Inferences about risk indicators in such settings face the problem of insufficient data.Extreme value theory is particularly well suited for handling this type ...
Einmahl, J.H.J., Li, J., Liu, R.Y.
core +1 more source

