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The authors develop score tests of goodness-of-fit for discrete generalized linear models against zero-inflation. The binomial and Poisson models are treated as examples and in the latter case, the proposed test reduces to that of Broek (1995). Some simulation results and an illustrative example are presented.

Discrete data in the form of counts often exhibit extra variation that cannot be explained by a simple model, such as the binomial or the Poisson. Also, these data sometimes show more zero counts than what can be predicted by a simple model. Therefore, a discrete generalized linear model (Poisson or binomial) may fail to fit a set of discrete data either… (More)

- Dianliang Deng
- Int. J. Math. Mathematical Sciences
- 2009

Let {X,Xn;n ∈ Z } be a sequence of i.i.d. real-valued random variables, and Sn ∑ k≤n Xk , n ∈ Z . Convergence rates of moderate deviations are derived; that is, the rates of convergence to zero of certain tail probabilities of the partial sums are determined. For example, we obtain equivalent conditions for the convergence of the series ∑ n b n ψ 2 a n… (More)

- Dianliang Deng, Hong-Bin Fang
- J. Multivariate Analysis
- 2009

- Dianliang Deng
- Statistics in medicine
- 2016

In this paper, an approach to estimating the cumulative mean function for history process with time dependent covariates and right censored time-to-event variable is developed using the combined technique of joint modeling and inverse probability weighting method. The consistency of proposed estimator is derived. Theoretical analysis and simulation studies… (More)

- Guo-Liang Tian, Huijuan Ma, Yong Zhou, Dianliang Deng
- Computational Statistics & Data Analysis
- 2015

a Department of Statistics and Actuarial Science, The University of Hong Kong, Pokfulam Road, Hong Kong, PR China b Department of Statistics and Finance, The University of Science and Technology of China, Hefei, Anhui, PR China c Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, PR China d School of Statistics and Management,… (More)

- Hong-Bin Fang, Jiantian Wang, Dianliang Deng, Man-Lai Tang
- Computational Statistics & Data Analysis
- 2011

- Hong-Bin Fang, Dianliang Deng, Ting Zhang, Ming Tan
- Journal of biopharmaceutical statistics
- 2014

In cancer drug development, demonstrated efficacy in tumor xenograft models is an important step toward bringing a promising compound to human use. A key outcome variable is tumor volume measured over a period of time, while mice are treated with certain treatment regimens. A constrained parametric model has been proposed to account for special features,… (More)

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