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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (8): 957-964.

• 论文 • 上一篇    下一篇

MATHEMATIC DESCRIPTION ABOUT RANDOM VARIABLE WITH FUZZY DENSITY FUNCTION (RVFDF)

吕恩琳, 钟佑明   

  1. Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P.R.China
  • 收稿日期:1999-09-03 修回日期:2000-05-02 出版日期:2000-08-18 发布日期:2000-08-18
  • 通讯作者: ZHANG Ru-qing

MATHEMATIC DESCRIPTION ABOUT RANDOM VARIABLE WITH FUZZY DENSITY FUNCTION (RVFDF)

LÜ En-ling, ZHONG You-ming   

  1. Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P.R.China
  • Received:1999-09-03 Revised:2000-05-02 Online:2000-08-18 Published:2000-08-18

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摘要： The random variable with fuzzy probability caused by fuzziness of probability density function was studied. The basic concepts/definitions and calculating methods of the interval/fuzzy probability density function, the random variable with fuzzy density function(RVFDF) and its distribution function, mathematical expectation and variance are given and some theorems related to the RVFDF are proved.

Abstract: The random variable with fuzzy probability caused by fuzziness of probability density function was studied. The basic concepts/definitions and calculating methods of the interval/fuzzy probability density function, the random variable with fuzzy density function(RVFDF) and its distribution function, mathematical expectation and variance are given and some theorems related to the RVFDF are proved.

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