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国家自然科学基金(s10431010)

作品数:3 被引量:19H指数:2
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Existence,uniqueness,and global attractivity of positive solutions and MLE of the parameters to the Logistic equation with random perturbation被引量:14
2007年
This paper discusses a randomized Logistic equation $\dot N(t) = (r + \alpha \dot B(t))N(t)[1 - \frac{{N(t)}}{K}]$ with an initial value N(0) = N 0, and N 0 is a random variable satisfying 0 < N 0 < K. The existence, uniqueness and global attractivity of positive solutions and maximum likelihood estimate (MLE) of the parameters of the equation are studied.
Da-qing JIANGBao-xue ZHANGDe-hui WANGNing-zhong SHI
关键词:EXISTENCEUNIQUENESS
The restricted EM algorithm under linear inequalities in a linear model with missing data被引量:1
2005年
This paper discusses the maximum likelihood estimate of β under linear inequalities A0β≥ a in a linear model with missing data, proposes the restricted EM algo rithm and proves the convergence.
ZHENG Shurong, SHI Ningzhong & GUO Jianhua School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
关键词:EMMAXIMUMLIKELIHOODMISSING
An Alternating Iterative Method and Its Application in Statistical Inference被引量:4
2008年
This paper studies non-convex programming problems. It is known that, in statistical inference, many constrained estimation problems may be expressed as convex programming problems. However, in many practical problems, the objective functions are not convex. In this paper, we give a definition of a semi-convex objective function and discuss the corresponding non-convex programming problems. A two-step iterative algorithm called the alternating iterative method is proposed for finding solutions for such problems. The method is illustrated by three examples in constrained estimation problems given in Sasabuchi et al. (Biometrika, 72, 465472 (1983)), Shi N. Z. (J. Multivariate Anal., 50, 282-293 (1994)) and El Barmi H. and Dykstra R. (Ann. Statist., 26, 1878 1893 (1998)).
Ning Zhong SHIGuo Rong HUQing CUI
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