Zobrazeno 1 - 10
of 2 900
pro vyhledávání: '"Wachtel P."'
In this paper we consider a multidimensional random walk killed on leaving a right circular cone with a distribution of increments belonging to the normal domain of attraction of an $\alpha$-stable and rotationally-invariant law with $\alpha \in (0,2
Externí odkaz:
http://arxiv.org/abs/2409.18200
Autor:
Sharipov, Sadillo, Wachtel, Vitali
Let $\{Y_{n}$, $n \geq 1\}$ be a critical branching process with immigration having finite variance for the offspring number of particles and finite mean for the immigrating number of particles. In this paper, we study lower deviation probabilities f
Externí odkaz:
http://arxiv.org/abs/2406.18724
We introduce multinomial and $r$-variants of several classic objects of combinatorial probability, such as the random recursive and Hoppe trees, random set partitions and compositions, the Chinese restaurant process, Feller's coupling, and some other
Externí odkaz:
http://arxiv.org/abs/2403.16448
Publikováno v:
International Journal of Approximate Reasoning 172 (September 2024) 109244:1-24
We give a complete characterisation of the single and double arrow relations of the standard context $K(L_n)$ of the lattice $L_n$ of partitions of any positive integer $n$ under the dominance order, thereby addressing an open question of Ganter, 202
Externí odkaz:
http://arxiv.org/abs/2403.07217
We study risk processes with level dependent premium rate. Assuming that the premium rate converges, as the risk reserve increases, to the critical value in the net-profit condition, we obtain upper and lower bounds for the ruin probability. In contr
Externí odkaz:
http://arxiv.org/abs/2311.02484
Autor:
Iksanov, Alexander, Wachtel, Vitali
Let $\eta_1$, $\eta_2,\ldots$ be independent copies of a random variable $\eta$ with zero mean and finite variance which is bounded from the right, that is, $\eta\leq b$ almost surely for some $b>0$. Considering different types of the asymptotic beha
Externí odkaz:
http://arxiv.org/abs/2310.10097
Autor:
Vysotsky, Vladislav, Wachtel, Vitali
We study the probability that an AR(1) Markov chain $X_{n+1}=aX_n+\xi_{n+1}$, where $a\in(0,1)$ is a constant, stays non-negative for a long time. We find the exact asymptotics of this probability and the weak limit of $X_n$ conditioned to stay non-n
Externí odkaz:
http://arxiv.org/abs/2305.10038
Autor:
Sara G. Danielli, Yun Wei, Michael A. Dyer, Elizabeth Stewart, Heather Sheppard, Marco Wachtel, Beat W. Schäfer, Anand G. Patel, David M. Langenau
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-14 (2024)
Abstract Rhabdomyosarcoma (RMS) is a pediatric tumor that resembles undifferentiated muscle cells; yet the extent to which cell state heterogeneity is shared with human development has not been described. Using single-cell/nucleus RNA sequencing from
Externí odkaz:
https://doaj.org/article/e29faed2ad884c858ba654d0b6fb5c27
Autor:
Denisov, Denis, Wachtel, Vitali
We consider a random walk in a truncated cone $K_N$, which is obtained by slicing cone $K$ by a hyperplane at a growing level of order $N$. We study the behaviour of the Green function in this truncated cone as $N$ increases. Using these results we a
Externí odkaz:
http://arxiv.org/abs/2212.11526
Autor:
Denisov, Denis, Wachtel, Vitali
We consider an asymptotically stable multidimensional random walk $S(n)=(S_1(n),\ldots, S_d(n) )$. Let $\tau_x:=\min\{n>0: x_{1}+S_1(n)\le 0\}$ be the first time the random walk $S(n)$ leaves the upper half-space. We obtain the asymptotics of $p_n(x,
Externí odkaz:
http://arxiv.org/abs/2209.12603