Results 61 to 70 of about 174,228,126 (292)

Complete convergence for weighted sums of widely orthant-dependent random variables

Journal of Inequalities and Applications, 2021
The complete convergence results for weighted sums of widely orthant-dependent random variables are obtained. A strong law of large numbers for weighted sums of widely orthant-dependent random variables is also obtained. Our results extend and generalize
Pingyan Chen, Soo Hak Sung
doaj   +1 more source

Moment conditions in strong laws of large numbers for multiple sums and random measures [PDF]

, 2017
The validity of the strong law of large numbers for multiple sums Sn of independent identically distributed random variables Zk , k ≤ n, with r-dimensional indices is equivalent to the integrability of |Z|(log+|Z|)r⁻¹, where Z is the generic summand. We
Klesov, Oleg, Molchanov, Ilya, Oleg Klesov, Ilya Molchanov   +3 more
core   +1 more source

Convergence Theorems for m-Coordinatewise Negatively Associated Random Vectors in Hilbert Spaces

Complexity, 2021
In this study, some new results on convergence properties for m-coordinatewise negatively associated random vectors in Hilbert space are investigated. The weak law of large numbers, strong law of large numbers, complete convergence, and complete moment ...
Lyurong Shi
doaj   +1 more source

Subclinical Optic Nerve Involvement in Radiologically Isolated Syndrome: Multimodal Detection and Diagnostic Impact

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives We aimed to determine the frequency of subclinical optic nerve (ON) lesions using MRI, optical coherence tomography (OCT), and visual evoked potentials (VEP) in radiologically isolated syndrome (RIS), and to assess their diagnostic and prognostic significance.
Christine Lebrun‐Frenay, Cassandre Landes‐Château, Lydiane Mondot, Mikael Cohen, Margherita Popolo, Jérôme de Seze, Bertrand Bourre, Françoise Durand‐Dubief, Olivier Casez, Orhun H. Kantarci, Aksel Siva, Stephanie Baillif, Darin T. Okuda, Letizia Leocani   +13 more
wiley   +1 more source

On Chung-Teicher Type Strong Law of Large Numbers for 𝜌∗-Mixing Random Variables

Discrete Dynamics in Nature and Society, 2008
In this paper the classical strong laws of large number of Kolmogorov, Chung, and Teicher for independent random variables were generalized on the case of 𝜌∗-mixing sequence. The main result was applied to obtain a Marcinkiewicz SLLN.
Anna Kuczmaszewska
doaj   +1 more source

Natural Frequencies of Levodopa‐Induced Dyskinesia in Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Abnormal involuntary movements, known as dyskinesias, are common complications of levodopa treatment in patients with Parkinson's disease and can significantly impair quality of life. The underlying pathophysiology remains unclear, and current therapeutic options are limited.
Ioannis U. Isaias, Federica Avantaggiato, Gianni Pezzoli, Andrea Canessa   +3 more
wiley   +1 more source

Global Rather Than Vertical‐Selective Saccadic Abnormalities in Progressive Supranuclear Palsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To test whether vertical saccades are preferentially affected in Progressive Supranuclear Palsy (PSP). Methods PSP patients (n = 24) were compared to age‐matched controls (n = 94) and two degenerative groups (Alzheimer's disease, n = 20; Lewy body disease, n = 50).
Duy Duan Nguyen, Mark Paine, Soohyun Lee, Amir Fazlollahi, Baibin (Ben) Wang, John D. O'Sullivan, Peter J. Nestor   +6 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

Limit properties for ratios of order statistics from exponentials

Journal of Inequalities and Applications, 2017
In this paper, we study the limit properties of the ratio for order statistics based on samples from an exponential distribution and obtain the expression of the density functions, the existence of the moments, the strong law of large numbers for R n i j
Yong Zhang, Xue Ding
doaj   +1 more source

A General Approach to the Strong Law of Large Numbers [PDF]

Theory of Probability & Its Applications, 2001
A basic approach to proving strong laws of large numbers is to use directly a Hájek-Rényi maximal inequality for normed sums. The aim of this paper is to show that such an inequality is, in fact, a consequence of an appropriate maximal inequality for cumulative sums, and to show that the latter automatically implies the strong law of large numbers.
Fazekas, I., Klesov, O.
openaire   +1 more source