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Acta Armamentarii ›› 2012, Vol. 33 ›› Issue (10): 1217-1221.doi: 10.3969/j.issn.1000-1093.2012.10.010

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Research on Environmental Factor of Exponential Product Based on F Distribution

CHENG Hong-wei, TAO Jun-yong, ZHANG Yun-an, CHEN Xun   

  1. (Laboratory of Science and Technology on Integrated Logistics Support,National University of
  • Received:2011-09-11 Revised:2011-09-11 Online:2014-03-04
  • Contact: CHENG Hong-wei E-mail:chhw777@126.com

Abstract: A method of calculating the environmental factor of exponential product based on F distribution was studied for a reliability assessment of complex system according to the small-scale samples and experimental data from different test environments and samples. The analysis result shows that the environmental factor is also applicable to the test data of variable population. For small-scale sample, the shortcoming of existing method on the selection of benchmark environment was analyzed, and the rule of choosing benchmark environment was given. Based on the analysis result above, a new algorithm containing correction factors was proposed for small-scale sample. Finally, the validity of the proposed method was proved using simulation data.

Key words: mathematical statistics, environmental factor, exponential product, F distribution, reliability assessment

CLC Number: