Karlin模型加权占用过程的一个泛函中心极限定理

IF 1.1 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2025-04-25 DOI:10.1016/j.spa.2025.104665

Jaime Garza, Yizao Wang

引用次数: 0

摘要

建立了Karlin模型加权占用过程的泛函中心极限定理。加权占用过程的形式为，其中Dn，j表示前n次采样后有j个球的回合数，∑j=1najDn，j对于规定的实数序列（aj）j∈n。主要应用于(α,θ)-座位α∈(0,1),θ>；−α的中餐馆过程随机排列的极限定理。这里简要地提到了一个例子，并在随附的论文中提供了全部细节。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A functional central limit theorem for weighted occupancy processes of the Karlin model

A functional central limit theorem is established for weighted occupancy processes of the Karlin model. The weighted occupancy processes take the form of, with

D_{n, j}

denoting the number of urns with

j

-balls after the first

n

samplings,

\sum_{j = 1}^{n} a_{j} D_{n, j}

for a prescribed sequence of real numbers

{(a_{j})}_{j \in N}

. The main applications are limit theorems for random permutations induced by Chinese restaurant processes with

(α, θ)

-seating with

α \in (0, 1), θ > - α

. An example is briefly mentioned here, and full details are provided in an accompanying paper.

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来源期刊

Stochastic Processes and their Applications 数学-统计学与概率论

CiteScore

2.90

自引率

7.10%

发文量

180

审稿时长

23.6 weeks

期刊介绍： Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.