Fuzzy Reliability Function of Linear Combination of Marshall and Olkin’S Bivariate Exponential Distribution

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Mathematical Computation

Mathematical Computation is an international comprehensive professional academic journal of Ivy Publisher, concerning the development of mathematical theory and computing application on the combination of mathematical theory and modern industrial technology. The main focus of the journal is the academic papers and comments of latest theoretical and apolitical mathematics improvement in the fields of nature science, engineering technology, economy... [More] Mathematical Computation is an international comprehensive professional academic journal of Ivy Publisher, concerning the development of mathematical theory and computing application on the combination of mathematical theory and modern industrial technology. The main focus of the journal is the academic papers and comments of latest theoretical and apolitical mathematics improvement in the fields of nature science, engineering technology, economy and science, report of latest research result, aiming at providing a good communication platform to transfer, share and discuss the theoretical and technical development of mathematics theory development for professionals, scholars and researchers in this field, reflecting the academic front level, promote academic change and foster the rapid expansion of mathematics theory and application technology.

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Paper Infomation

Fuzzy Reliability Function of Linear Combination of Marshall and Olkin’S Bivariate Exponential Distribution

Full Text(PDF, 180KB)

Author: Yunfei Guo, Yangjing Chong, Xinhui Zhou, Yutong Zhu, Hailing Lan

Abstract: In this paper, the fuzzy reliability function has been derived. In the case of that subjects to Marshall-Olkin bivariate exponential distribution, assuming .

Keywords: fuzzy reliability; bivariate exponential; dependent

References:

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[2] Yunfei Guo, Zhe Yin. Distribution of linear combinations of dependent random variables with two dimensional exponential distribution[J]. Practice and knowledge of Mathematics,2010,(16):179-183.

[3] Kan Cheng, Jenhua Cao. An introduction to mathematics of reliability. Beijing: Higher Education Press,2006.

[4] Juling Zhou, Xiaojia Liang. Marshall-Olkin bivariate exponential distribution[J]. Journal of Xinjiang Normal University(Nature Science Edition), 2013,(04):63-65.

[5] Guoan Li. The independence and non correlation of the distribution of the two element type Marshall-Olkin exponent[J]. University Mathematics, 2013, 29(4): 91-93. DOI: 10.3969/j.issn. 1672-1454. 2013.04.019.

[6] Tingjie Li, He Gao. Preliminary study on fuzzy reliability[J]. Systems Engineering and Electronics, 1988, (10): 1-9.

[7] Yunfei Guo,Reliability function of linear combination of marshall and olkin’s bivariate exponential distribution,Scientific Advances Publishers,2015