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T –UNIFORM AMARTS AND ALMOST SURE CONVERGENCE IN BANACH SPACE

Acta Mathematica Scientia, 1985
Let E be a separable Banach space with norm \(\| \cdot \|\), and \(T^ f\) be the set of all finite stopping times. The author proves that if E has the Radon-Nikodym property and if \((X_ n,f_ n)_{n\geq 1}\) is a \(T^ f\)-uniform amart of class A (i.e. \(\liminf_{T^ f} E \| X_ t\|
openaire   +2 more sources

Almost sure convergence rates of adaptive increasingly rare Markov chain Monte Carlo

Stochastic Processes and their Applications
We consider adaptive increasingly rare Markov chain Monte Carlo (MCMC) algorithms, which are adaptive MCMC methods, where the adaptation concerning the"past''happens less and less frequently over time.
Julian Hofstadler   +3 more
semanticscholar   +1 more source

On quantitative convergence for stochastic processes: Crossings, fluctuations and martingales

Transactions of the American Mathematical Society. Series B
We develop a general framework for extracting highly uniform bounds on local stability for stochastic processes in terms of information on fluctuations or crossings.
Morenikeji Neri, Thomas Powell
semanticscholar   +1 more source

Quantitative uniform exponential acceleration of averages along decaying waves

Известия Российской академии наук Серия математическая
In this study, utilizing a specific exponential weighting function, we investigate the uniform exponential convergence of weighted Birkhoff averages along decaying waves and delve into several related variants.
Zhicheng Tong, Yong Li
semanticscholar   +1 more source

A note on almost sure uniform and complete convergences of a sequence of random variables

Stochastics, 2011
The aim of this note is to introduce another way of defining the almost sure uniform convergence, which is necessary when studying some mathematical results on the existence of price bubbles in certain scenarios of trading securities. This mode of convergence of random variables' sequences is intermediate between the uniform and the almost sure ones ...
openaire   +1 more source

Almost uniform convergence on the predual of a von Neumann algebra and an ergodic theorem

1986
Publisher Summary This chapter discusses almost uniform convergence on the predual of von Neumann algebra and an ergodic theorem. Because L ∞ spaces over measure spaces are the prototypes of commutative von Neumann algebras, sometimes the investigations around a pair ( M , ω ) consisting of a von Neumann algebra M and a positive linear ...
openaire   +1 more source

Uniform almost sure convergence rate of wavelet estimator for regression model with mixed noise

Communications in Statistics - Theory and Methods, 2023
Junke Kou, Qinmei Huang, Hao Zhang
openaire   +1 more source

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