Characterizations of Some Free Random Variables by Properties of Conditional Moments of Third Degree Polynomials

Wiktor Ejsmont

首页> 外文期刊>Journal of theoretical probability >Characterizations of Some Free Random Variables by Properties of Conditional Moments of Third Degree Polynomials

【24h】

Characterizations of Some Free Random Variables by Properties of Conditional Moments of Third Degree Polynomials

机译：利用三阶多项式的条件矩特性刻画一些自由随机变量

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We investigate Laha-Lukacs properties of noncommutative random variables (processes). We prove that some families of free Meixner distributions can be characterized by the conditional moments of polynomial functions of degree 3. We also show that this fact has consequences in describing some free Lévy processes. The proof relies on a combinatorial identity. At the end of this paper we show that this result can be extended to a q-Gausian variable.

机译：我们研究非交换随机变量（过程）的Laha-Lukacs属性。我们证明了一些免费的Meixner分布族可以用3级多项式函数的条件矩来刻画。我们还证明了这一事实对描述某些自由Lévy过程具有影响。证明依赖于组合身份。在本文的最后，我们证明了该结果可以推广到q-高斯变量。

著录项

来源
《Journal of theoretical probability》 |2014年第3期|共17页
作者
Wiktor Ejsmont;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类概率论（几率论、或然率论）;
关键词
Free Meixner law; Conditional expectation; Free cumulants; Laha-Lukacs theorem; Noncommutative regression;

机译：自由迈克斯纳定律;有条件期望;自由累积量;Laha-Lukacs定理;非交换回归;

相似文献

外文文献
中文文献
专利

1. Characterizations of Some Free Random Variables by Properties of Conditional Moments of Third Degree Polynomials [J] . Wiktor Ejsmont Journal of theoretical probability . 2014,第3期

机译：利用三阶多项式的条件矩特性刻画一些自由随机变量
2. Characterization Theorem for Best Polynomial Spline Approximation with Free Knots, Variable Degree and Fixed Tails [J] . Crouzeix Jean-Pierre, Sukhorukova Nadezda, Ugon Julien Journal of Optimization Theory and Applications . 2017,第3期

机译：具有自由结的最佳多项式花键近似的特征定理，可变程度和固定尾
3. Some results related to distribution functions of chi-square type random variables with random degrees of freedom [J] . Tran Loc Hung, Tran Thien Thanh, Bui Quang Vu Bulletin of the Korean Mathematical Society . 2008,第3期

机译：与具有随机自由度的卡方型随机变量的分布函数有关的一些结果
4. Second Order Moments of Multivariate Hermite Polynomials in Correlated Random Variables [C] . Laura Lyman, Gianluca Iaccarino International Conference on Computational Science and Its Applications . 2021

机译：相关随机变量中的多变量Hermite多项式的二阶矩
5. An inverse kinematic solution to the 6 degree of freedom Kuka 662 robot by reduction to an 8th order univariate polynomial,or a 4th order bivariate polynomial, with up to 4 real solutions [D] . Kaufman, Richard D. 2009

机译：通过还原为8阶单变量多项式或4阶双变量多项式，对6自由度Kuka 662机器人进行逆运动学解，其中最多包含4个实解
6. EMG-Driven Forward-Dynamic Estimation of Muscle Force and Joint Moment about Multiple Degrees of Freedom in the Human Lower Extremity [O] . Massimo Sartori, Monica Reggiani, Dario Farina, 2009

机译：EMG驱动的人体下肢多个自由度的肌肉力量和关节力矩的动态前向估计
7. Characterizations of Some Free Random Variables by Properties of Conditional Moments of Third Degree Polynomials [O] . 2014

机译：利用三阶多项式的条件矩特性刻画一些自由随机变量
8. Convergence Properties of Polynomial Chaos Approximations for L2 Random Variables [R] . Field, R. V., Srigoriu, M. D. 2007

机译：L2随机变量多项式混沌逼近的收敛性

Characterizations of Some Free Random Variables by Properties of Conditional Moments of Third Degree Polynomials

摘要

著录项

相似文献

相关主题

期刊订阅