检索结果-内蒙古大学图书馆

Normalized fractional inequalities for continuous random variables

JOURNAL OF INTERDISCIPLINARY MATHEMATICS 2022年第2期25卷 335-349页

作者： Slimane, Ibrahim Dahmani, Zoubir Abdelhamid Ibn Badis Univ Mostaganem UMAB Lab Pure & Appl Math POB 227 Mostaganem 27000 Algeria

We introduce new normalized fractional integral concepts on random variables. We also introduce the fractional coupled random variables. The Jensen integral inequality is generalized. Also, some fractional bounds estimating the expectation and variance are delivered. At the end, some other results related to the coupled random variables are proved. For this work, some results of the papers [On some statistical and probability inequalities. Journal of Inequalities and Special Functions, 2016] and [Some inequalities for the expectation and variance of a random variable whose PDFs are absolutely continuous using a pre-Chebychev inequality. Tamkang Journal of Mathematics, 2001] are deduced as some special cases.

关键词： Riemann-Liouville integral Integral inequalities continuous random variable Fractional expectation Fractional variance Fractional covariance

来源：评论

学校读者我要写书评

暂无评论

Convexity of Fisher Information with Respect to Gaussian Perturbation

Convexity of Fisher Information with Respect to Gaussian Per...

引用

Iran Workshop on Communication and Information Theory (IWCIT)

作者： Cheng, Fan Geng, Yanlin Chinese Univ Hong Kong Inst Network Coding Hong Kong Hong Kong Peoples R China Chinese Univ Hong Kong Dept Informat Engn Hong Kong Hong Kong Peoples R China

ISBN: (纸本)9781479948772

Let X be an arbitrary continuous random variable and Z be an independent Gaussian random variable with zero mean and unit variance. In this paper, we show that the third order derivative of h(X + root tZ) is nonnegative, which implies that the Fisher information J(X + root tZ) is convex in t. Following this result, we make two conjectures on h(X + root tZ): the first is that partial derivative(n)/partial derivative t(n) h(X + root tZ) is nonnegative in t if n is odd, and negative otherwise;the second is that log J(X + root tZ) is convex in t.

关键词： Fisher information Convexity Nonnegative zero mean Gauss Odd number continuous random variable perturbation

来源：评论

学校读者我要写书评

暂无评论

On the Correlation Structure of Exponential Order Statistics and Some Extensions

引用

MATHEMATICAL METHODS OF STATISTICS 2016年第3期25卷 196-206页

作者： Hung, Y. C. Chen, R. W. Balakrishnan, N. Natl Chengchi Univ Dept Stat Taipei Taiwan Univ Miami Dept Math Coral Gables FL 33124 USA McMaster Univ Dept Math & Stat Hamilton ON Canada

In this paper, we carry out a theoretical study of the correlation coefficients between exponential order statistics and their monotonicity properties. Then, aided by a Monte Carlo simulation study, we make some conje... 详细信息

关键词： exponential random variable order statistics correlation coefficient continuous random variable

来源：评论

学校读者我要写书评

暂无评论

Information loss in static nonlinearities

Information loss in static nonlinearities

引用

2011 8th International Symposium on Wireless Communication Systems, ISWCS'11

作者： Geiger, Bernhard C. Feldbauer, Christian Kubin, Gernot Signal Processing and Speech Communication Laboratory Graz University of Technology Austria

ISBN: (纸本)9781612844022

In this work, conditional entropy is used to quantify the information loss induced by passing a continuous random variable through a memoryless nonlinear input-output system. We derive an expression for the information loss depending on the input density and the nonlinearity and show that the result is strongly related to the non-injectivity of the considered system. Tight upper bounds are presented, which can be evaluated with less difficulty than a direct evaluation of the information loss, which involves the logarithm of a sum. Application of our results is illustrated on a set of examples. © 2011 IEEE.

关键词： Entropy Nonlinear systems Polynomials Probability density function random variables Uncertainty Upper bound conditional entropy continuous random variable entropy information loss information theory input density memoryless nonlinear input-output system s

来源：评论

学校读者我要写书评

暂无评论

General moments of roundoff error

引用

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION 2021年第10期50卷 2885-2905页

作者： Wiegand, Martin Nadarajah, Saralees Univ Manchester Sch Math Manchester M13 9PL Lancs England

Li and Nadarajah [Signal Processing 127 (2016) 185-190] derived expressions for mean and variance of roundoff error for any continuous random variable. Here, we derive expressions for general moments of the roundoff error, allowing one to study other aspects of roundoff error than just mean and variance. The expressions are specialized for 10 commonly used distributions in signal processing. Numerical studies checking the correctness of the derived expressions are given.

关键词： continuous random variable Distribution Signal processing

来源：评论

学校读者我要写书评

暂无评论

UNEQUAL ERROR PROTECTION QUERYING POLICIES FOR THE NOISY 20 QUESTIONS PROBLEM

UNEQUAL ERROR PROTECTION QUERYING POLICIES FOR THE NOISY 20 ...

引用

IEEE International Conference on Acoustics, Speech and Signal Processing

作者： Hye Won Chung Brian M. Sadler Lizhong Zheng Alfred O. Hero KAIST U.S. Army Research Laboratory MIT University of Michigan

ISBN: (纸本)9781538646595

We propose a non-adaptive unequal error protection (UEP) querying policy based on superposition coding for the noisy 20 questions problem. In this problem, a player wishes to successively refine an estimate of the value of a continuous random variable by posing binary queries and receiving noisy responses. When the queries are designed non-adaptively as a single block and the noisy responses are modeled as the outputs of a binary symmetric channel the 20 questions problem can be mapped to an equivalent problem of channel coding with UEP. A new non-adaptive querying strategy based on UEP superposition coding is introduced whose estimation error decreases with an exponential rate of convergence that is significantly better than that of the UEP repetition coding introduced by Variani et al. (2015). In fact, we show that the proposed non-adaptive UEP querying policy achieves the same order convergence rate as the adaptive policy.

关键词： Noisy 20 questions problem estimation superposition coding unequal error protection superposition coding error protection Policies continuous random variable single block Channel coding Noise

来源：评论

学校读者我要写书评

暂无评论

Soft-Output Detection of CPM Signals Transmitted Over Channels Affected by Phase Noise

Soft-Output Detection of CPM Signals Transmitted Over Channe...

引用

European Signal Processing Conference

作者： Alan Barbieri Giulio Colavolpe University of Pisa

We consider continuous phase modulations (CPMs) and their transmission over a typical satellite channel affected by phase noise. By modeling the phase noise as a Wiener process and adopting a simpli ed representation of anM-ary CPM signal based on the principal pulses of its Laurent decomposition, we derive the MAP symbol detection strategy. Since it is not possible to derive the exact detection rule by means of a probabilistic reasoning, the framework of factor graphs (FGs) and the sumproduct algorithm is used. By pursuing the principal approach to manage continuous random variable in a FG, I.e., the canonical distribution approach, two algorithms are derived which do not require the presence of known (pilot) symbols, thanks to the intrinsic differential encoder embedded in the CPM modulator.

关键词： Phase noise continuous random variable satellite channel Stochastic Processes continuous phase modulation

来源：评论

学校读者我要写书评

暂无评论

Identities leading to distributions of order statistics from innid variables

引用

Applied Mathematics and Information Sciences 2018年第5期12卷 937-943页

作者： Bulut, Yunus Güngör, Mehmet Özbey, Fahrettin Department of Econometrics Inonu University Malatya 44280 Turkey Department of Statistics University of Bitlis Eren Bitlis Turkey

In this study, joint distributions of order statistics of innid continuous random variables are expressed in terms of specialized identities based on distributions of innid continuous random variables. Then, some resu... 详细信息

关键词： continuous random variable Joint distributions Order statistics Permanent

来源：评论

学校读者我要写书评

暂无评论

On distributions of order statistics for nonidentically distributed variables

引用

Applied Mathematics and Information Sciences 2019年第1期13卷 11-16页

作者： Özbey, Fahrettin Güngör, Mehmet Bulut, Yunus Department of Statistics University of Bitlis Eren Bitlis Turkey Department of Econometrics Inonu University Malatya 44280 Turkey

In this study, distribution and probability density functions of any d order statistics of innid continuous random variables are expressed. Then, some results connecting distributions of order statistics of innid random variables to that of order statistics of iid random variables are given. © 2019 NSP Natural Sciences Publishing Cor.

关键词： continuous random variable Distribution function Order statistics Probability density function

来源：评论

学校读者我要写书评

暂无评论

The Foster-Hart measure of riskiness for general gambles

引用

THEORETICAL ECONOMICS 2015年第1期10卷 1-9页

作者： Riedel, Frank Hellmann, Tobias Univ Bielefeld Ctr Math Econ Bielefeld Germany

Foster and Hart propose a measure of riskiness for discrete random variables. Their defining equation has no solution for many common continuous distributions. We show how to extend consistently the definition of riskiness to continuous random variables. For many continuous random variables, the risk measure is equal to the worst-case risk measure, i.e., the maximal possible loss incurred by that gamble. For many discrete gambles with a large number of values, the Foster-Hart riskiness is close to the maximal loss. We give a simple characterization of gambles whose riskiness is or is close to the maximal loss.

关键词： Risk measures bankruptcy continuous random variable

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：