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رفيق عمر العقاش

Associate Professor

عضو هيئة تدريس,

كلية العلوم
المبنى 4, الدور 1, رقم المكتب 2ب 44
publication
Journal Article
2023

Unbalanced multi-drawing urn with random addition matrix II

In this paper, we give some results about a multi-drawing urn with random

addition matrix. The process that we study is described as: at stage n ≥ 1,

we pick out at random m balls, say k white balls and mk black balls. We

inspect the colours and then we return the balls, according to a predefined

replacement matrix, together with (m k) Xn white balls and k Yn black

balls. Here, we extend the classical assumption that the random variables

(Xn, Yn) are bounded and i.i.d. We prove a strong law of large numbers and

a central limit theorem on the proportion of white balls for the total number

of balls after n draws under the following more general assumptions: (i) a

finite second-order moment condition in the i.i.d. case; (ii) regular variation

type for the first and second moments in the independent case.

more of publication
publications

In this paper, we consider a two-dimension symmetric random walk with reset. We give, in the first part, some results about the distribution of every component. In the second part, we give some…

by R. Aguech, M. Abdelkadeur
2023
publications

In this paper, we give some results about a multi-drawing urn with random

addition matrix. The process that we study is described as: at stage n ≥ 1,

we pick out at random…

by R. Aguech, W. Jedidi, O. Selmi
2023
publications

I

In this article, we consider several models of random walks in one or several

dimensions, additionally allowing, at any unit of time, a reset (or “catastrophe”) of

the walk…

by R. Aguech, C. Banderier, A. Althakafi
2024