Results 81 to 90 of about 166,872,446 (336)

A Strong Invariance Theorem for the Strong Law of Large Numbers

The Annals of Probability, 1978
Let $X_1, X_2,\cdots$ be i.i.d. random variables with mean 0 and variance 1. Let $S_n = X_1 + \cdots + X_n$, and let $\{H_n\}$ be the standard partial sum processes on $\lbrack 0, \infty)$ defined in terms of the $S_n$'s and normalized as in Strassen.
openaire   +3 more sources

Safety of Prescription Nonsteroidal Anti‐inflammatory Drugs in Adults With Inflammatory Bowel Disease: Data From a Large Administrative Claims Cohort

Arthritis Care &Research, EarlyView.
Objective The concern that nonsteroidal anti‐inflammatory drugs (NSAIDs) may precipitate flares of inflammatory bowel disease (IBD) has limited their use in managing musculoskeletal symptoms in those with IBD, but safety data are mixed. Methods This retrospective cohort study included patients with IBD aged at least 18 years from Optum's deidentified ...
Adam S. Mayer, Rui Xiao, Meenakshi Bewtra, Michael D. George, Pamela F. Weiss   +4 more
wiley   +1 more source

The Development of Rheumatoid Arthritis–Specific Ambulatory Care–Sensitive Conditions: Results of a Consensus Process

Arthritis Care &Research, EarlyView.
Objective Ambulatory care–sensitive conditions (ACSCs) serve as indicators of access, quality, and performance of the health system. This study aimed to determine rheumatoid arthritis (RA)‐specific ACSCs for use in the evaluation of care system access and quality.
Kara Irwin, Candace H. Feldman, Claire E. H. Barber, Gabriel Fabreau, Jake Jennings, Scott Patten, Cheryl Barnabe, Inflammatory Arthritis‐Specific ACSC Consensus Process Working Group   +7 more
wiley   +1 more source

Extending Service Beyond Active Duty: Generalizability of Rheumatoid Arthritis Research Conducted Among U.S. Veterans

Arthritis Care &Research, Accepted Article.
Biomedical research involving United States Veterans continues to advance healthcare beyond the Veterans Health Administration. This is particularly true in rheumatoid arthritis (RA), where Veteran‐centric research has uncovered novel insights into pathogenesis, risk factors, and disease manifestations, informing clinical care and research across both ...
Austin M. Wheeler, Joshua F. Baker, Jennifer L. Barton, Maria I. Danila, Tate M. Johnson, Kamini Kuchinad, Kaleb Michaud, Amir A. Razmjou, J. Steuart Richards, Namrata Singh, Isaac D. Smith, Katherine D. Wysham, Grant W. Cannon, Bryant R. England, Amy Joseph, Deana Lazaro, Katherine P. Liao, Courtney Loecker, Andreas Reimold, Beth I. Wallace, Ted R. Mikuls   +20 more
wiley   +1 more source

Empirical Measures and Strong Laws of Large Numbers in Categorical Probability [PDF]

Log. Methods Comput. Sci.
The Glivenko--Cantelli theorem is a uniform version of the strong law of large numbers. It states that for every IID sequence of random variables, the empirical measure converges to the underlying distribution (in the sense of uniform convergence of the ...
Tobias Fritz, Tomáš Gonda, A. Lorenzin, Paolo Perrone, Areeb Mohammed   +4 more
semanticscholar   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Strong Law of Large Numbers for *- Mixing Sequence

, 2010
Strong law of large numbers and complete convergence for sequences of *-mixing random variables are investigated. In particular, Teicher-s strong law of large numbers for independent random variables are generalized to the case of *-mixing random ...
Kongsheng Zhang, Bainian Li
core   +1 more source

On the strong law of large numbers for linear combinations of concomitants

, 2020
The article proves a theorem on the strong law of large numbers for linear functions of concomitants (induced order statistics) for sequences of independent identically distributed two-dimensional random vectors.
Dudkina, Olga I., Gribkova, Nadezhda V.
core   +1 more source

A Strong Law of Large Numbers for Weighted Sums of i.i.d. Random Variables under Capacities

Journal of Applied Mathematics, 2014
With the notion of independent identically distributed (i.i.d.) random variables under sublinear expectations initiated by Peng, a strong law of large numbers for weighted sums of i.i.d. random variables under capacities induced by sublinear expectations
Defei Zhang, Ping He
doaj   +1 more source

What Do Large Language Models Know About Materials?

Advanced Engineering Materials, EarlyView.
If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer, Thomas Wallmersperger, Gianaurelio Cuniberti   +2 more
wiley   +1 more source