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301.
302.
In this note we compare the Shannon entropy of record statistics with the Shannon entropy of the original data and give an application to characterization of the generalized Pareto distribution, 相似文献
303.
Mohammad Saber Fallah Nezhad 《统计学通讯:理论与方法》2013,42(8):1542-1552
In an acceptance-sampling plan, where items of an incoming batch of products are inspected one by one, if the number of conforming items between successive non conforming items falls below a lower control threshold, the batch is rejected. If it falls above an upper control threshold, the batch is accepted, and if it lies within the thresholds then the process of inspecting the items continues. The purpose of this article is to develop an optimization model to determine the optimum values of the thresholds such that constraints on the probability of Type I and Type II errors are satisfied. This article starts by developing a Markovian model to derive the expected total cost of the inspection problem containing the costs of acceptance, rejection, and inspection. Then, the optimum values of the thresholds are selected in order to minimize the expected cost. To demonstrate the application of the proposed methodology, perform sensitivity analysis, and compare the performance of the proposed procedure to the one of another method, a numerical example is given at the end and the results are reported. 相似文献
304.
Efficiency of the QR class estimator in semiparametric regression models to combat multicollinearity
Mahdi Roozbeh Mohammad Najarian 《Journal of Statistical Computation and Simulation》2018,88(9):1804-1825
There are some classes of biased estimators for solving the multicollinearity among the predictor variables in statistical literature. In this research, we propose a modified estimator based on the QR decomposition in the semiparametric regression models, to combat the multicollinearity problem of design matrix which makes the data to be less distorted than the other methods. We derive the properties of the proposed estimator, and then, the necessary and sufficient condition for the superiority of the partially generalized QR-based estimator over partially generalized least-squares estimator is obtained. In the biased estimators, selection of shrinkage parameters plays an important role in data analysing. We use generalized cross-validation criterion for selecting the optimal shrinkage parameter and the bandwidth of the kernel smoother. Finally, the Monté-Carlo simulation studies and a real application related to bridge construction data are conducted to support our theoretical discussion. 相似文献
305.
We consider the problem of testing the equality of several multivariate normal mean vectors under heteroscedasticity. We first construct a fiducial confidence region (FCR) for the differences between normal mean vectors and we then propose a fiducial test for comparing mean vectors by inverting the FCR. We also propose a simple approximate test that is based on a modification of the χ2 approximation. This simple test avoids the complications of simulation-based inference methods. We show that the proposed fiducial test has correct type one error rate asymptotically. We compare the proposed fiducial and approximate tests with the parametric bootstrap test in terms of controlling the type one error rate via an extensive simulation study. Our simulation results show that the proposed fiducial and approximate tests control the type one error rate, while there are cases that the parametric bootstrap test is out of control. We also discuss the power performance of the tests. Finally, we illustrate with a real example how our proposed methods are applicable in analyzing repeated measure designs including a single grouping variable. 相似文献
306.
In recent years, risk-adjusted control charts that account for the preoperative risk of patients have been widely used for monitoring of surgical outcomes. Generally, risk-adjusted control charts have been developed on the basis of a binary classification of surgical outcomes. However, for a patient who survives an operation, it is reasonable to consider different grades of recovery in an ordinal manner. On the other hand, Phase I monitoring of risk-adjusted control charts has been neglected. Hence, in this paper, a general Phase I risk-adjusted control chart is proposed to monitor ordinal outcomes of surgical outcomes. The proposed risk-adjusted model is developed on the basis of proportional odds logistic regression models. The application of the proposed model is illustrated by analyzing the data in a case study and its performance is evaluated using a Monte Carlo simulation study. 相似文献
307.
Mohammad Mehdi Saber 《统计学通讯:理论与方法》2019,48(2):282-299
Pitman's measure of closeness and mean square error of prediction are two well-known criteria for comparison between estimators and also between predictors. In a stationary first order multiplicative spatial autoregressive model, interpolation and extrapolation are compared based on these two criteria. A wide class of different innovation types are also studied containing Gaussian, exponential, asymmetric Laplace and extended skew t distributions. 相似文献
308.
Diagnosis aids in addition to detecting the out-of-control state is an important issue in multivariate multiple linear regression profiles monitoring; because a large number of parameters and profiles in this structure are involved. In this paper, we specifically concentrate on identification of profile(s) and parameter(s) which have changed during the process in multivariate multiple linear regression profiles structure in Phase II. We demonstrate the effectiveness of our proposed approaches through Monte Carlo simulations and a real case study in terms of accuracy percent. 相似文献
309.
In the real problems, there are many cases which have correlated quality characteristics so multiple response optimization can be more realistic if we can consider correlation structure of responses. In this study we propose a new method which uses multivariate normal probability to find the optimal treatment in an experimental design. Moreover, a heuristic method is used to find better factors’ level in all possible combinations in the designs with large number of controllable factors and their levels. Some simulated numerical examples and a real case were studied by the proposed approach and the comparison of the results with previous methods show efficiency of the proposed method. 相似文献
310.
The generalized logistic distribution can be considered as a proportional reversed hazard family with the baseline distribution as the logistic distribution. The generalized logistic distribution has been used to model the data with a unimodal density. In this comparison paper, the authors considered the maximum likelihood estimation of the different parameters of a generalized logistic distribution as well as other five estimation procedures. In this paper, we compare the performances of these procedures through an extensive numerical simulation. 相似文献