Results 61 to 70 of about 2,348,291 (294)
Objective The objective of this scoping review was to synthesize evidence on the proportion of individuals living with Sjögren's disease who experience central nervous system (CNS) manifestations. Methods We searched MEDLINE (via PubMed) and Embase from 1980 through January 29, 2026, and the ECRI Guidelines Trust from 2020 through January 29, 2026 ...
Arun Varadhachary +21 more
wiley +1 more source
Some limit theorems for ratios of order statistics from uniform random variables
In this paper, we study the ratios of order statistics based on samples drawn from uniform distribution and establish some limit properties such as the almost sure central limit theorem, the large deviation principle, the Marcinkiewicz-Zygmund law of ...
Shou-Fang Xu, Yu Miao
doaj +1 more source
Patients improve, patterns persist: longitudinal stability of RA joint involvement patterns
Objective Rheumatoid arthritis is a heterogeneous disease. Data‐driven approaches, from synovial histology to joint involvement patterns (JIPs), have sought to define clinically meaningful subgroups. Whether these subgroups represent stable phenotypes or transient disease states remains unclear.
Tjardo Maarseveen +24 more
wiley +1 more source
A note on the complete convergence for sequences of pairwise NQD random variables
In this paper, complete convergence and strong law of large numbers for sequences of pairwise negatively quadrant dependent (NQD) random variables with non-identically distributed are investigated.
Wu Qunying +3 more
doaj
Some theorems related to almost sure convergence of orthogonal series
We obtain new criterias for almost sure convergence of random sequences. We apply them to the study of almost sure convergence of orthogonal series and related sums.
Weber, Michel
core +1 more source
Double recurrence and almost sure convergence.
The paper studies the pointwise behaviour of averages of the form \(\frac{1}{N}\sum^{N}_{1}T_1f_1\cdot T_2f_2,\) where \(T_1,T_2\) are powers of the same measure preserving transformation \(T\) acting on a probability span \((\Omega,\mathcal B,\mu).\) Here \(f_1,f_2\) are assumed to be bounded measurable functions.
openaire +2 more sources
Almost Sure Convergence for the Robbins-Monro Process
In this paper we investigate the almost sure convergence of the Robbins-Monro process $x_{n+1} = x_n - a_n(y_n - \alpha)$ under assumptions about the conditional distribution of $y_n$ given $x_n$ which involve the existence of first moments or something closely related. The process $x_n$ can converge almost surely even when the series $\sum^\infty_{n=1}
Goodsell, C. A., Hanson, D. L.
openaire +3 more sources
Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
Almost sure convergence of weighted sums [PDF]
Summary: Let \(\{X:X_n,\;n\geq 1\}\) be a sequence of identically distributed random variables and \(\{a_{i,n}:\;1\leq i\leq n\}\) be a triangular array of constants. In this short paper, we establish a general almost sure convergence theorem for the weighted sum \(S_n=\sum^n_{i=1} a_{i,n} X_i\). Our results improve those of \textit{S. H.
Miao, Yu, Xu, Shoufang
openaire +3 more sources
This study examines how helicoidal architectures with different porosities respond to bending. Adjusting layer angle and spacing in 3D‐printed polymers reveals clear tradeoffs between stiffness, strength, and energy absorption. Experiments and simulations highlight designs that distribute stress effectively, offering pathways for optimizing lightweight
Praveenkumar Subhash Patil +2 more
wiley +1 more source

