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201.
Yang-Jin Kim 《统计学通讯:模拟与计算》2013,42(4):983-990
In this article, a semiparametric approach is proposed for the regression analysis of panel count data. Panel count data commonly arise in clinical trials and demographical studies where the response variable is the number of multiple recurrences of the event of interest and observation times are not fixed, varying from subject to subject. It is assumed that two processes exist in this data: the first is for a recurrent event and the second is for observation time. Many studies have been done to estimate mean function and regression parameters under the independency between recurrent event process and observation time process. In this article, the same statistical inference is studied, but the situation where these two processes may be related is also considered. The mixed Poisson process is applied for the recurrent event processes, and a frailty intensity function for the observation time is also used, respectively. Simulation studies are conducted to study the performance of the suggested methods. The bladder tumor data are applied to compare previous studie' results. 相似文献
202.
Mahdi Tavangar 《统计学通讯:理论与方法》2013,42(2):226-235
AbstractIn this paper, we consider a k-out-of-n system consisting of n identical components with independent lifetimes. We show that when the underlying distribution function F(t) is absolutely continuous, then it can be univocally determined by some particular mean residual lives or mean inactivity times of the system. It is then shown that these results may be extended to coherent (or mixed) systems. 相似文献
203.
Qie Li 《统计学通讯:理论与方法》2013,42(23):5071-5090
We propose a Bayesian hierarchical model for multiple comparisons in mixed models where the repeated measures on subjects are described with the subject random effects. The model facilitates inferences in parameterizing the successive differences of the population means, and for them, we choose independent prior distributions that are mixtures of a normal distribution and a discrete distribution with its entire mass at zero. For the other parameters, we choose conjugate or vague priors. The performance of the proposed hierarchical model is investigated in the simulated and two real data sets, and the results illustrate that the proposed hierarchical model can effectively conduct a global test and pairwise comparisons using the posterior probability that any two means are equal. A simulation study is performed to analyze the type I error rate, the familywise error rate, and the test power. The Gibbs sampler procedure is used to estimate the parameters and to calculate the posterior probabilities. 相似文献
204.
Dong Joon Park 《统计学通讯:理论与方法》2013,42(17):5053-5065
ABSTRACTIn applications using a simple regression model with a balanced two-fold nested error structure, interest focuses on inferences concerning the regression coefficient. This article derives exact and approximate confidence intervals on the regression coefficient in the simple regression model with a balanced two-fold nested error structure. Eleven methods are considered for constructing the confidence intervals on the regression coefficient. Computer simulation is performed to compare the proposed confidence intervals. Recommendations are suggested for selecting an appropriate method. 相似文献
205.
206.
We consider the problem of constructing designs which are E-optimal in the class of all balanced resolution III designs for the 2m×3n series. The inverse of the information matrix for general resolution III balanced 2m×3n designs is obtained. Optimal designs are constructed for the cases (m,n)=(3, 1), (4, 1), (2, 2) and (3, 2) for various numbers of runs in the practical range. 相似文献
207.
Suppose we consider a general multiple type II censored sample (some middle observations being censored) from a shifted exponential distribution. The maximum likelihood prediction method does not admit explicit solutions. We introduce a simple approximation to one of prediction likelihood equations and derive approximate predictors of missing failure times. We compute their mean square prediction errors by simulation and compare them with the best linear predictors. Further, we present two real examples to illustrate this method of prediction.AMS Subject Classification (2000):
62G30, 62M20, 62F99 相似文献
208.
209.
Fraser Daly 《Journal of statistical planning and inference》2011,141(7):2228-2237
In many settings it is useful to have bounds on the total variation distance between some random variable Z and its shifted version Z+1. For example, such quantities are often needed when applying Stein's method for probability approximation. This note considers one way in which such bounds can be derived, in cases where Z is either the equilibrium distribution of some birth-death process or the mixture of such a distribution. Applications of these bounds are given to translated Poisson and compound Poisson approximations for Poisson mixtures and the Pólya distribution. 相似文献
210.
Vaidyanathan Jayaraman 《决策科学》1998,29(3):729-745
The purpose of this paper is to refine and test a distribution system design model and evaluate its performance with respect to solution quality, model validation, and algorithm performance. The paper reports on the development of a multiproduct warehouse logistics model. The logistics model is used to predict the performance of distribution companies that typically have to deal with product costs, the cost to distribute the products from a set of warehouses to customer outlets, the level of service provided to its customers, and flexibility for each product group and market segment. 相似文献