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A remark on the exponential inequality for negatively associated random variables
Guodong Xing,Shanchao Yang,Ailin Liu,Xiangping Wang 한국통계학회 2009 Journal of the Korean Statistical Society Vol.38 No.1
We give an exponential inequality for negatively associated random variables. The inequality improves the corresponding result which was obtained in [Kim, T. S., & Kim, H. C. (2007). On the exponential inequality for negatively dependent sequence. Korean Mathematical Society. Communications, 22(2), 315321]. We also obtain the convergence rate n-1/2.log n3/2 for the strong law of large numbers, which improves the corresponding one obtained by the authors in the above-cited reference.
Gao Guodong,Xing Yongming 한국정밀공학회 2018 International Journal of Precision Engineering and Vol.19 No.4
In this study, we designed a special stress concentration specimen. We studied the stress, strain, craze density, and the change trend in the rate of acoustic emission events in the area with the most intense craze damage. We also examined the evolution of crazing damage under continuous loading. We determined the one-to-one correspondence between crazing and the degree of triaxial stress, and used the finite element method to validate this correspondence. In addition, we analyzed the viscoelasticity area of the specimen and proposed the fracture criteria for crazes and microcracks.