Journal of Liaoning Petrochemical University
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Probabilistic Computation Method for Some Types of Integral
YU Jing-xian, LI Jin-qiu, MIAO Chen
Abstract495)      PDF (936KB)(865)      
 
Considering the complexity and infeasibility of Newton-Leibniz formula in computing some types of integral, it was used the density functions and numerical characteristics of exponential distribution, normal distribution and chi-square distribution to compute three types of integral in calculus. Three computational formulas were got. Through the process of proof, it was found that the convenience of probabilistic method and close relationship between probability theory and calculus.
2012, 32 (4): 95-98. DOI: 10.3696/j.issn.1672-6952.2012.04.025
 
Talent Selection Model Based on Fuzzy AHP and Fuzzy TOPSIS
LI Jin-qiu, YU Jing-xian, MIAO Chen
Abstract345)      PDF (884KB)(260)      
 
Considering the fuzziness of indicator weight and indicator value, a talent selection scheme is created. We firstly build up judgment matrix and evaluation matrix based on linguistic variables. Secondly, the linguistic variables are translated to triangle fuzzy numbers and the fuzzy judgment matrix and fuzzy evaluation matrix are got. Thirdly, we get the fuzzy weights of indicators by fuzzy AHP, and get the closeness coefficient and ranking of each evaluated object by fuzzy TOPSIS. At last taking the selection of team member of MCM for example, we illustrate the feasibility and efficiency of the scheme.
2012, 32 (4): 88-91. DOI: 10.3696/j.issn.1672-6952.2012.04.023
Computation of Higher-Order Moment of Sum of Independent and Identically Distributed Exponential Random Variables
LI Jin-qiu, YU Jing-xian, ZHAO Xiao-ying
Abstract399)      PDF (143KB)(250)      
The higher-order moment of sum of independent and identically distributed exponential random variables was investigated. The higher-moment of exponential random variable was computed by mathematical induction method. Base on this result, combining the multinomial theorem and the knowledge about the partition of integer in combinatorics, the higher-order moment of sum of independent and identically distributed exponential random variables was computed and the computation formula was got. At last, the conclusion was illustrated by numerical example.
2011, 31 (4): 88-91. DOI: 10.3696/j.issn.1672-6952.2011.04.023