-Mixing Sequences
Moment Inequality for Mixing Sequences and Its Applications
... Firstly, the maximal inequality for ϕ-mixing sequences is given. By using the maximal inequality, we study the convergence properties for ϕ-mixing sequences. The H´ajek-R´enyi-type inequality, ...
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Complete moment convergence of double indexed randomly weighted sums of mixing sequences
... finite-state, irreducible, and aperiodic Markov chain, then it is a ρ-mixing sequence (see ˜ Bradley []). There are many results for ρ-mixing sequences; see Peligrad and Gut [] ˜ and Utev and ...
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Almost sure central limit theorem for self normalized products of the some partial sums of \(\rho^{ }\) mixing sequences
... The precise definition of ρ – -mixing random variables was introduced initially by Zhang and Wang [5] in 1999. Obviously, ρ – -mixing random variables include NA and ρ ∗ -mixing random variables, ...
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An almost sure central limit theorem of products of partial sums for ρ mixing sequences
... -mixing random variables include NA and r*-mixing random variables, which have a lot of applications, their limit properties have aroused wide interest recently, and a lot of results have been obtained, ...
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Some Strong Limit Theorems for Weighted Product Sums of Mixing Sequences of Random Variables
... -mixing sequences of random ...independent sequences of random variables to ρ-mixing sequences of random variables without necessarily adding any extra ...
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Complete Convergence and Weak Law of Large Numbers for ρ Mixing Sequences of Random Variables
... -mixing sequences of random ...independent sequences of random variables to -mixing sequences of random variables without necessarily adding any extra ...
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Chover-type laws of the k-iterated logarithm for weighted sums of strongly mixing sequences
... This note contains a Chover-type Law of the k -Iterated Logarithm for weighted sums of strong mixing sequences of random variables with a distribution in the domain of a stable law. We show that the upper ...
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Adaptive Wavelet Estimation of a Biased Density for Strongly Mixing Sequences
... Research Article Adaptive Wavelet Estimation of a Biased Density for Strongly Mixing Sequences Christophe Chesneau Université de Caen-Basse Normandie, Département de Mathématiques, UF[r] ...
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A Note on the Almost Sure Central Limit Theorem for Partial Sums of ρ− Mixing Sequences
... -mixing random va- riables, which have a lot of applications. Their limit properties have received more and more attention recently, and a number of results have been obtained, such as Zhang and Wang [1] for ...
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On complete convergence for Lp mixingales
... of mixing sequences and martingale differences, where the mixingale convergence theorems and the strong laws of large numbers have been ...uniformly mixing processes (also called ...
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Stability Bounds for Stationary φ-mixing and β-mixing Processes
... We presented stability bounds for both ϕ-mixing and β-mixing stationary sequences. Our bounds apply to large classes of algorithms, including common algorithms such as SVR, KRR, and SVMs, and extend ...
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Strong convergence results for weighted sums of ρ˜ mixing random variables
... ρ-mixing sequences of random variables, Wu and Jiang [] for Chover-type laws ˜ of the k-iterated logarithm, Wu [] for strong consistency of estimator in linear model, Wang et ...variable ...
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Moderate deviations of functional of Markov Processes
... The paper is organized as follows. In Section 2 we state the MDP for weakly dependent random variables with applications to functions of mixing sequences, Markov chains, and functions of linear process. ...
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KERNEL REGRESSION FOR RHO-MIXING OBSERVATIONS
... -mixing sequences we refer to Bradley(1990, 1992) for the central limit theorem, Bryc and Smolenski (1993) for moment inequalities and almost sure convergence, Peligrad and Gut (1999) for almost sure ...
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THERMODYNAMICS OF PHARMACEUTICAL ACTIVE NICOTINAMIDE BASED BINARY ALLOYS
... The solid-liquid equilibrium data of Nicotinamide (NA)- β-Naphthol (βN) and Nicotinamide(NA)- Acetanilide (ACT) systems have been determined by Thaw- melt method which suggest the formation of simple eutectics in both ...
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Rigidity in Subclasses of Transitive and Mixing Systems
... It is well-known that mild mixing systems do not have uniformly rigid factors while minimal equicontinuous systems have comparatively large rigidity sequences. Therefore, one expects to have rigidity along ...
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Thermodynamic and structural properties of K-Na liquid alloy
... of mixing, heat of mixing, entropy of mixing, concentration fluctuation in the long wavelength limit, Warren-Cowley short range order parameter, ratio of diffusion coefficients of Potassium-sodium ...
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Cholesterol-Dependent Membrane Fusion Induced by the gp41 Membrane-Proximal External Region–Transmembrane Domain Connection Suggests a Mechanism for Broad HIV-1 Neutralization
... Determination of membrane rigidity was based on the estimation of the general polarization (GP) parameter using laurdan and multiphoton fluorescence microscopy of giant unilamellar vesicles (GUVs), as de- scribed in ...
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Influence of bulk microphysics schemes upon Weather Research and Forecasting (WRF) version 3.6.1 nor’easter simulations
... yet mixing ratio amounts ...cloud-water mixing ratio differ- ences are likely associated with both varying ice supersatu- ration allowances as described for the Goddard schemes by Chern et ...water ...
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Fluid Dynamics in a Copper Converter: an Investigation on Mixing Phenomena in an Experimental Model
... liquid mixing efficiency, they used the turbulent kinetic energy in order to quantify the copper matte ...lowest mixing efficiency could be ...bath mixing of copper, they reported that there is a ...
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