Maximum Entropy Prior Information Solution Based on Second Moment and Its Application in NC System Reliability Assessment

China Mechanical Engineering ›› 2010, Vol. 21 ›› Issue (12): 1466-1468.

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Maximum Entropy Prior Information Solution Based on Second Moment and Its Application in NC System Reliability Assessment

Ling Guang1;Dai Yi1;Li Xi2

1.Tianjin University of Technology and Education,Tianjin,300222

2.Huazhong University of Science and Technology,Wuhan,430074

Online:2010-06-25 Published:2010-07-01
Supported by:

National Natural Science Foundation of China（No. 50875186）;
National Science and Technology Major Project ( No. 2009ZX04014-013-02)

基于二阶矩约束的最大熵先验信息解及其在数控系统可靠性评估中的应用

凌光1;戴怡1;李曦2

1.天津工程师范学院,天津,300222

2.华中科技大学,武汉,430074

基金资助:
国家自然科学基金资助项目(50875186)；国家科技重大专项项目(2009ZX04014-013-02)；天津市教委资助项目(20071107)
National Natural Science Foundation of China（No. 50875186）;
National Science and Technology Major Project ( No. 2009ZX04014-013-02)

Abstract

Abstract:

The paper studied NC system reliability assessment using Bayesian theory.We gave a general analytical solution of maximum entropy of Weibull prior distribution based on second moment restrictions.Combining NC system life data,the robustness of the Weibull prior distribution was discussed.Studies show that it fits NC system reliability assessment to solve the two-parameter joint prior distribution using maximum entropy principle.

Key words: Bayesian theory, maximum entropy, second moment, NC system, reliability assessment

摘要：

应用Bayes理论对数控系统可靠性评估方法进行研究。给出了基于二阶矩约束的最大熵Weibull先验分布的一般解析形式,并结合数控系统寿命数据,讨论了二阶矩约束下的Weibull先验分布的稳健性。研究表明,基于最大熵原理求取双参数联合先验分布的方法,适用于数控系统可靠性评估。

关键词:

Bayes理论, 最大熵, 二阶矩, 数控系统, 可靠性评估

CLC Number:

TH17

LING Guang, DAI Yi, LI Xi.

Maximum Entropy Prior Information Solution Based on Second Moment and Its Application in NC System Reliability Assessment

[J]. China Mechanical Engineering, 2010, 21(12): 1466-1468.

凌光, 戴怡, 李曦.

基于二阶矩约束的最大熵先验信息解及其在数控系统可靠性评估中的应用

[J]. 中国机械工程, 2010, 21(12): 1466-1468.

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Maximum Entropy Prior Information Solution Based on Second Moment and Its Application in NC System Reliability Assessment

基于二阶矩约束的最大熵先验信息解及其在数控系统可靠性评估中的应用

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