Abstract
According to the wavelet deniosing method, a new algorithm for generating standard normal random numbers is proposed in this paper. For the standard normal random number generated by randn function, a comparative study is done to discuss the influence of different threshold rules on the mean and variance of random number, the influence of different decomposition levels on random number. Then the correlation among the components of high-dimensional random number is discussed in different space scales. For 1000 groups of normal random number, the distributions of p value of J-B test, mean, variance and correlation are shown by their boxplot. WMC method is presented and applied in numerical integration. For 1000 groups of approximation values computed by WMC method, the mean and variance are given for discussing its accuracy and stability by the boxplot. Finally, an example is given for numerical simulation of financial model.
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Acknowledgements
We would like to thank the anonymous referees for their comments and suggestions to improve the presentation of this paper. This work is supported by Planning of philosophy and Social Sciences in Zhejiang Province of China (19NDQN340YB), National Natural Science Foundation of China (11771100) and National Natural Science Foundation of China (12071332).
Funding
This work is supported by Planning of philosophy and Social Sciences in Zhejiang Province of China (19NDQN340YB), National Natural Science Foundation of China (11771100) and National Natural Science Foundation of China (12071332).
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Xiaohui, Z., Guiding, G. An algorithm of generating random number by wavelet denoising method and its application. Comput Stat 37, 107–124 (2022). https://doi.org/10.1007/s00180-021-01117-z
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DOI: https://doi.org/10.1007/s00180-021-01117-z