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121.
The problem of embedding an orthogonal array of strength 2 into a complete orthogonal array is discussed. It is shown that for any n≠4 any orthogonal array of strength 2 and deficiency 2 can always be embedded into a corresponding complete orthogonal array. 相似文献
122.
Power studies of tests of equality of covariance matrices of two p-variate complex normal populations σ1 = σ2 against two-sided alternatives have been made based on the following five criteria: (1) Roy's largest root, (2) Hotelling's trace, (4) Wilks' criterion and (5) Roy's largest and smallest roots. Some theorems on transformations and Jacobians in the two-sample complex Gaussian case have been proved in order to obtain a general theorem for establishing the local unbiasedness conditions connecting the two critical values for tests (1)–(5). Extensive unbiased power tabulations have been made for p=2, for various values of n1, n2, λ1 and λ2 where n1 is the df of the SP matrix from the ith sample and λ1 is the ith latent root of σ1σ-12 (i=1, 2). Equal tail areas approach has also been used further to compute powers of tests (1)–(4) for p=2 for studying the bias and facilitating comparisons with powers in the unbiased case. The inferences have been found similar to those in the real case. (Chu and Pillai, Ann. Inst. Statist. Math. 31. 相似文献
123.
Anil K. Bhargava 《Journal of statistical planning and inference》1979,3(1):19-26
A multivariate “errors in variables” regression model is proposed which generalizes a model previously considered by Gleser and Watson (1973). Maximum likelihood estimators [MLE's] for the parameters of this model are obtained, and the consistency properties of these estimators are investigated. Distribution of the MLE of the “error” variance is obtained in a simple case while the mean and the variance of the estimator are obtained in this case without appealing to the exact distribution. 相似文献
124.
A general definition of a set of projectors for decomposing a vector as the sum of vectors belonging to disjoint subspaces not necessarily spanning the whole space is given. Such projectors are defined only over the union of the disjoint subspaces. But their extension to the whole space is of some interest in statistical problems. Explicit expressions are obtained for projectors and their extensions in terms of matrices spanning the subspaces and g-inverses. Decomposition of a projector as the sum of projectors on subspaces is obtained and applied to problems arising in correlation analysis, analysis of variance and estimation of parameters in the Gauss-Markoff model. 相似文献
125.
126.
Consider the model where there are I independent multivariate normal treatment populations with p×1 mean vectors μi, i=1,…,I, and covariance matrix Σ. Independently the (I+1)st population corresponds to a control and it too is multivariate normal with mean vector μI+1 and covariance matrix Σ. Now consider the following two multiple testing problems. 相似文献
127.
We consider the problem of determining sharp upper bounds on the expected values of non-extreme order statistics based on i.i.d. random variables taking on N values at most. We show that the bound problem is equivalent to the problem of establishing the best approximation of the projection of the density function of the respective order statistic based on the standard uniform i.i.d. sample onto the family of non-decreasing functions by arbitrary N -valued functions in the norm of L2(0,1) space. We also present an algorithm converging to the local minima of the approximation problems. 相似文献
128.
In this paper we consider new families of residuals and influential measures, under the assumption of multinomial sampling, for loglinear models. These new families are based on φ-divergence test statistic. The asymptotic normality of the standardized residuals is obtained as well as the relation of the new family of influential measures with the appropriate Cook's distance in this context. The expression of the new family of residuals is obtained in two important problems: independence and symmetry in two-dimensional contingence tables. A numerical example illustrates the results obtained. 相似文献
129.
130.