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A Linear Immigration-Birth-Death Model and Its Statistical Inference
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作者 ZHANG Shu-lin WEI Zheng-hong BI Qiu-xiang 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第3期356-362,共7页
formula of simulation proccss by In this paper, we employ monmnt generating function to obtain some exact transition probability of inlmigration-birth-death(IBD) model and discuss the of sample path and statistical ... formula of simulation proccss by In this paper, we employ monmnt generating function to obtain some exact transition probability of inlmigration-birth-death(IBD) model and discuss the of sample path and statistical inference with complete observations of the IBD the exact transition density formula. 展开更多
关键词 immigration-birth-death process transition density moment generating function maximum likelihood estimator
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A Specification Test of Stochastic Diffusion Models
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作者 Shu-lin ZHANG Zheng-hong WEI Qiu-xiang BI 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2013年第3期529-540,共12页
In this paper, we propose a hypothesis testing approach to checking model mis-specification in continuous-time stochastic diffusion model. The key idea behind the development of our test statistic is rooted in the gen... In this paper, we propose a hypothesis testing approach to checking model mis-specification in continuous-time stochastic diffusion model. The key idea behind the development of our test statistic is rooted in the generalized information equality in the context of martingale estimating equations. We propose a bootstrap resampling method to implement numerically the proposed diagnostic procedure. Through intensive simulation studies, we show that our approach is well performed in the aspects of type I error control, power improvement as well as computational efficiency. 展开更多
关键词 Stochastic diffusion model martingale estimating function generalized information equality
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