Results 11 to 20 of about 9,261,553 (282)

Complete convergence and complete moment convergence for arrays of rowwise END random variables [PDF]

open access: yesGlasnik matematički, 2014
The authors study complete convergence and complete moment convergence for arrays of rowwise extended negatively dependent (END) random variables and obtain some new results. The results extend and improve the corresponding theorems by Sung (2005), Hu and Taylor (1997), Hu et al. (1989), and Chow (1988).
Wu, Yongfeng   +2 more
openaire   +2 more sources

Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables

open access: yesThe Scientific World Journal, 2014
The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of ...
Yongfeng Wu, Mingzhu Song, Chunhua Wang
doaj   +2 more sources

On Complete Convergence in Marcinkiewicz-Zygmund Type SLLN for END Random Variables and Its Applications [PDF]

open access: yesCommunications in Statistics - Theory and Methods, 2018
AbstractIn this paper, the complete convergence for maximal weighted sums of extended negatively dependent (END, for short) random variables is investigated.
Yan, Ji Gao
core   +4 more sources

The first descent in samples of geometric random variables and permutations

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2006
For words of length n, generated by independent geometric random variables, we study the average initial and end heights of the first descent in the word. Higher moments and limiting distributions are also derived. In addition we compute the average
Arnold Knopfmacher, Helmut Prodinger
doaj   +2 more sources

Complete moment convergence of extended negatively dependent random variables

open access: yesJournal of Inequalities and Applications, 2020
In this paper, some results on the complete moment convergence of extended negatively dependent (END) random variables are established. The results in the paper improve and extend the corresponding ones of Qiu et al. (Acta Math. Appl. Sin. 40(3):436–448,
Mingzhu Song, Quanxin Zhu
doaj   +1 more source

Jeffreys Divergence and Generalized Fisher Information Measures on Fokker–Planck Space–Time Random Field

open access: yesEntropy, 2023
In this paper, we present the derivation of Jeffreys divergence, generalized Fisher divergence, and the corresponding De Bruijn identities for space–time random field.
Jiaxing Zhang
doaj   +1 more source

On Independence Nuetrosophic Random Variables

open access: yes, 2021
In this article we study independence neutrosophic random variables and conditioned expectation, we prove that conditional variance is equal to neutrosophic conditional variance.
Carlos Granados In this article we study independence neutrosophic random variables and conditioned expectation, we prove that conditional variance is equal to neutrosophic conditional variance. These notions are important for neutrosophic probability due to neutrosophic random variables, neutrosophic central limit theorem and neutrosophic laws of large numbers can be studied.   +1 more
core   +1 more source

Short polymer chain statistics and the relationship to end to end electronic excitation transport: random walks with variable-step lengths [PDF]

open access: yesMacromolecules, 1988
The problem of the distribution of distances between the ends of a polymer chain for short chains (a small number of statistical segments) is considered. A formalism developed by Rayleigh is utilized to calculate the exact end to end distribution functions for random walks with a small number of steps and variable step lengths.
M. B. Zimmt   +2 more
openaire   +1 more source

Generalization of Tail Inequalities for Random Variables in the Martingale Theory

open access: yes, 2022
We generalize the tail Doob's inequality, concerning two non-negative random variables, arising in the martingale theory, in three directions: on the more general source data, on the random variables belonging to the so-called Grand Lebesgue Spaces, as ...
Ostrovsky, E, Sirota, L, Formica, MR
core   +1 more source

Towards a phenomenological understanding of neural networks: data

open access: yesMachine Learning: Science and Technology, 2023
A theory of neural networks (NNs) built upon collective variables would provide scientists with the tools to better understand the learning process at every stage.
Samuel Tovey   +3 more
doaj   +1 more source

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