Bounds for characteristic functions and Laplace transforms of probability distributions

Zhang Z.

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Bounds for characteristic functions and Laplace transforms of probability distributions

机译：特征函数的界线和概率分布的拉普拉斯变换

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摘要

By use of a generalization of the Cramér-Rao-type inequality, we establish several inequalities relating characteristic functions and Laplace transforms of lattice distributions. We also indicate how the results can be directly adapted to continuous cases and illustrate some applications.

机译：通过使用Cramér-Rao型不等式的推广，我们建立了一些与特征函数和晶格分布的Laplace变换有关的不等式。我们还将说明如何将结果直接应用于连续案例并说明一些应用。

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《Theory of probability and its applications》 |2011年第2期|共9页
作者
Zhang Z.;
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原文格式 PDF
正文语种 eng
中图分类概率论与数理统计;
关键词
Characteristic function; Fisher information; Inequality; Laplace transform; Lattice distribution;

机译：特征函数;费舍尔信息;不等式;拉普拉斯变换;格分布;

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专利

1. Bounds for characteristic functions and Laplace transforms of probability distributions [J] . Zhang Z. Theory of probability and its applications . 2011,第2期

机译：特征函数的界线和概率分布的拉普拉斯变换
2. A Laplace transform inversion method for probability distribution functions [J] . Walker Stephen G. Statistics and computing . 2017,第2期

机译：概率分布函数的拉普拉斯变换反演方法
3. The Laplace Transform for the Distribution of the Lower Bound Functional in a Semi-Markov Walk Process with a Delay Screen at Zero [J] . K. K. Omarova, Sh. B. Bakhshiev Automatic Control and Computer Sciences . 2010,第4期

机译：具有零延迟屏幕的半马尔可夫步行过程中下界函数分布的拉普拉斯变换
4. Computing Interval Bounds for Statistical Characteristics Under Expert-Provided Bounds on Probability Density Functions [C] . Victor G. Krymsky International Workshop on Applied Parallel Computing . 2006

机译：在概率密度函数上专家提供的界限下计算间隔界限
5. THE H-FUNCTION AND PROBABILITY DENSITY FUNCTIONS OF CERTAIN ALGEBRAIC COMBINATIONS OF INDEPENDENT RANDOM VARIABLES WITH H-FUNCTION PROBABILITY DISTRIBUTIONS. [D] . COOK, IVY DEWEY, JR. 1981

机译：具有H函数概率分布的独立随机变量的某些代数组合的H函数和概率密度函数。
6. On Distribution Functions and Their Laplace-Fourier Transforms [O] . E. K. Haviland 1934

机译：分布函数及其Laplace-Fourier变换
7. Laplace Transforms of Probability Distributions and Their Inversions are Easy on Logarithmic Scales [O] . A. G. Rossberg 2008

机译：LAPPALL的概率分布变换及其反转易于对数尺度很容易

Bounds for characteristic functions and Laplace transforms of probability distributions

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