Results 61 to 70 of about 1,623,252 (283)

Quantitative Strong Laws of Large Numbers

Electronic Journal of Probability
Using proof-theoretic methods in the style of proof mining, we give novel computationally effective limit theorems for the convergence of the Cesaro-means of certain sequences of random variables. These results are intimately related to various Strong Laws of Large Numbers and, in that way, allow for the extraction of quantitative versions of many of ...
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, Accepted Article.
Objectives 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 this population, but safety data are mixed. Methods This retrospective cohort study included patients with IBD ≥ 18 years of age from Optum's de‐identified ...
Adam S. Mayer, Rui Xiao, Meenakshi Bewtra, Michael D. George, Pamela F. Weiss   +4 more
wiley   +1 more source

Convergence Rates in the Strong Law of Large Numbers for Martingale Difference Sequences

Abstract and Applied Analysis, 2012
We study the complete convergence and complete moment convergence for martingale difference sequence. Especially, we get the Baum-Katz-type Theorem and Hsu-Robbins-type Theorem for martingale difference sequence.
Xuejun Wang, Shuhe Hu, Wenzhi Yang, Xinghui Wang   +3 more
doaj   +1 more source

Ergodic Theorems for Lower Probabilities

, 2015
We establish an Ergodic Theorem for lower probabilities, a generalization of standard probabilities widely used in applications.
Cerreia-Vioglio, Simone, Maccheroni, Fabio, Marinacci, Massimo   +2 more
core   +1 more source

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source

Strong laws of large numbers for sub-linear expectations

, 2017
We investigate three kinds of strong laws of large numbers for capacities with a new notion of independently and identically distributed (IID) random variables for sub-linear expectations initiated by Peng.
D Schmeidler, F Maccheroni, I Gilboa, J Dow, L Epstein, L Wasserman, M Marinacci, P J Huber, P Wakker, P Walley, R Feynman, S G Peng, S G Peng, S G Peng, S G Peng, S G Peng, S G Peng, S G Peng, S G Peng, Z J Chen, Z J Chen, ZengJing Chen   +21 more
core   +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

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

Elinvar Materials: Recent Progress and Challenges

Advanced Engineering Materials, EarlyView.
Elinvar materials, exhibiting temperature‐invariant elastic modulus, are critical for precision instruments and emerging technologies. This article reviews recent progress in the field, with a focus on the anomalous thermoelastic behavior observed in key material systems.
Wenjie Li, Yang Ren
wiley   +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