Results 81 to 90 of about 174,228,126 (292)

Doob's Type Inequality and Strong Law of Large Numbers for Demimartingales

Journal of Inequalities and Applications, 2010
We establish some maximal inequalities for demimartingales which generalize the result of Wang (2004). The maximal inequality for demimartingales is used as a key inequality to establish other results including Doob's type maximal inequality, strong law
Xuejun Wang, Shuhe Hu, Ting Zhao, Wenzhi Yang   +3 more
doaj  

Best Possible Sufficient Conditions for Strong Law of Large Numbers for Multi-Indexed Orthogonal Random Elements

International Journal of Mathematics and Mathematical Sciences, 2007
It will be shown and induced that the d-dimensional indices in the Banach spaces version conditions ∑n(E‖Xn‖p/|nα|p)
Kuo-Liang Su
doaj   +1 more source

Inverse Identification of Energy‐Dependent Laser Absorptivity in NiTi Laser Powder‐Bed Fusion via Calibrated Melt Pool Simulation

Advanced Engineering Materials, EarlyView.
A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi, Hadi Moutablaleh, Ignatius A. Setiawan, Mehrshad Mehrpouya   +3 more
wiley   +1 more source

General Weak Laws of Large Numbers for Bootstrap Sample Means [PDF]

AMS classifications: 60F05, 62G09; 62G20.Bootstrap sample mean;weak law of large numbers;convergence in probability;almost certain ...
Einmahl, J.H.J., Rosalsky, A.
core  

A new proof for the generalized law of large numbers under Choquet expectation

Journal of Inequalities and Applications, 2020
In this article, we employ the elementary inequalities arising from the sub-linearity of Choquet expectation to give a new proof for the generalized law of large numbers under Choquet expectations induced by 2-alternating capacities with mild assumptions.
Jing Chen, Zengjing Chen
doaj   +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

Remarks on the strong law of large numbers for a triangular array of associated random variables

, 1997
Strong law of large numbers, associated random variables, kernel type density estimation,
Isha Dewan, Dewan, Isha, B. Rao, Prakasa Rao, B. L. S.   +3 more
core   +1 more source

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

Investigating the Effect of Inclination Angle and the Influence of Scan Parameters on the Appearance and Thermal and Mechanical Properties of Filigree Tension Rods of LPBF‐Manufactured NiTi Shape‐Memory Alloys

Advanced Engineering Materials, EarlyView.
This article investigates the dependence of the properties on the manufacturing orientation in the form of the inclination angle to the build plate of LPBF‐fabricated NiTi rods with a diameter of 150–220 µm. Metallographic, chemical, thermal, and mechanical characterization show behavior under identical manufacturing conditions that ranges from ...
Sandra Herzig, Michael Werner, Christian Rotsch   +2 more
wiley   +1 more source

An Explicit Constitutive Reconstruction Framework for Mechanical Characterization of Miniaturized 3D‐Printed Specimens

Advanced Engineering Materials, EarlyView.
An explicit constitutive reconstruction framework enables accurate tensile characterization of miniaturized additively manufactured specimens using only the grip‐to‐grip displacement measurements. Progressive validation through self‐consistency, analytical comparison, and inverse finite element method (iFEM) benchmarking demonstrates constitutive ...
Junqing Leng, Caralyn Collins, Pengpeng Zhang, Joanna Zhang, Cheng Sun   +4 more
wiley   +1 more source