Title :
Approximate Calculation about Standard Normal Distribution with Genetic Programming
Author :
Zhang, Ming ; Zhou, Yongquan
Author_Institution :
Sch. of Sci., Dalian Fisheries Univ., Dalian, China
Abstract :
Normal distribution is a most widely used probability distribution in engineering calculation and analysis, which is commonly transformed into standard normal distribution to research. This paper presents a new hybrid method of genetic programming and least square method to calculate function values of standard normal distribution, based on determining the function value of standard normal distribution by checking table have many limits and bring huge inconvenience to the engineering application. The simulating results show that the algorithm has the advantages of high speed and precision, easy for using.
Keywords :
genetic algorithms; statistical distributions; engineering calculation; genetic programming; least square method; probability distribution; standard normal distribution; Distributed computing; Distribution functions; Gaussian distribution; Genetic engineering; Genetic mutations; Genetic programming; Least squares approximation; Least squares methods; Optimization methods; Probability; distribution function; genetic programming; least square method; normal distribution; standard normal distribution;
Conference_Titel :
Information and Computing (ICIC), 2010 Third International Conference on
Conference_Location :
Wuxi, Jiang Su
Print_ISBN :
978-1-4244-7081-5
Electronic_ISBN :
978-1-4244-7082-2
DOI :
10.1109/ICIC.2010.187