A SIMPLE PROOF OF THE UNBOUNDEDNESS OF HOMOGENEOUS STOCHASTIC PROCESSES WITH INDEPENDENT INCREMENTS?

V. M. KRUGLOV

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A SIMPLE PROOF OF THE UNBOUNDEDNESS OF HOMOGENEOUS STOCHASTIC PROCESSES WITH INDEPENDENT INCREMENTS?

机译：具有独立增量的同质随机过程的无界性的简单证明？

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摘要

In this paper we prove that the unboundedness of nonconstant homogeneous stochastic processes with independent increments is a natural corollary of the Kolmogorov zero-one law. The known proof of this statement is based on a deep preliminary investigation of stochastic processes with independent increments.

机译：在本文中，我们证明了具有独立增量的非恒定齐次随机过程的无界性是Kolmogorov零一定律的自然推论。该陈述的已知证据是基于对具有独立增量的随机过程的深入初步研究。

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《Theory of probability and its applications》 |2011年第4期|共3页
作者
V. M. KRUGLOV;
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正文语种 eng
中图分类概率论与数理统计;
关键词
Kolmogorov zero-one law; stochastic processes with independent increments;

机译：柯尔莫哥洛夫零一定律;具有独立增量的随机过程;

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专利

1. A SIMPLE PROOF OF THE UNBOUNDEDNESS OF HOMOGENEOUS STOCHASTIC PROCESSES WITH INDEPENDENT INCREMENTS? [J] . V. M. KRUGLOV Theory of probability and its applications . 2011,第4期

机译：具有独立增量的同质随机过程的无界性的简单证明？
2. AN L-p-THEORY FOR DIFFUSION EQUATIONS RELATED TO STOCHASTIC PROCESSES WITH NON-STATIONARY INDEPENDENT INCREMENT [J] . Kim Ildoo, Kim Kyeong-Hun, Kim Panki Transactions of the American Mathematical Society . 2019,第5期

机译：与具有非稳定性独立增量的随机过程相关的扩散方程的L-P-理论
3. A note on the monotone stochastic order for processes with independent increments [J] . Criens David Statistics & Probability Letters . 2018,第期

机译：关于单调随机订单的一个注释，用于独立增量的流程
4. On processes with conditional independent increments and stable convergence in law [C] . Jean Jacod Seminaire de Probabilite . 2003

机译：关于条件独立增量和稳定融合的过程
5. Proof processes of novice mathematics proof writers. [D] . VanSpronsen, Hillary Dee. 2008

机译：新手数学证明作者的证明过程。
6. LIMIT THEOREMS FOR HOMOGENEOUS STOCHASTIC PROCESSES [O] . S. Bochner 1954

机译：均匀随机过程的极限定理
7. Global sensitivity analysis for stochastic processes with independent increments [O] . Emeline Gayrard, Cédric Chauvière, Hacène Djellout, 2020

机译：具有独立增量的随机过程的全局敏感性分析

A SIMPLE PROOF OF THE UNBOUNDEDNESS OF HOMOGENEOUS STOCHASTIC PROCESSES WITH INDEPENDENT INCREMENTS?

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