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571.
Let X1, X2, …, Xn be a random sample of size n from an extreme value distribution and X1:n less than or equal X2:n less than or equal … less than or equal Xn:n be the order statistics ob-tained from this sample. Tables of the means, variances, and covariances of the order statistics for samples of size n are given for n = 1(1)15(5)30. The computational formulae and procedure used and some checks employed are explained. 相似文献
572.
The asymptotic distributions of two tests for sphericity:the locally most powerful invariant test and the likelihood ratio test are derived under the general alternaties ∑?σ2 I. The powers of these two tests are then compared when the data are from a trivariate normal population. The bootstrap method is also used to obtain the powers and the powers obtained by this method agree with those from the asymptotic distributions. 相似文献
573.
Shih-Huang Chan 《统计学通讯:理论与方法》2013,42(4):1199-1209
Asymptotic distributions of the maximum likelihood estimators of the regression coefficients and knot points for the polynomial spline regression models with unknown knots and AR(1) errors have been derived by Chan (1989). Chan showed that under some mild conditions the maximum likelihood estimators, after suitable standardization, asymptotically follow normal distributions as n diverges to infinity. For the calculations of the maximum likelihood estimators, iterative methods must be applied. But this is not easy to implement for the model considered. In this paper, we suggested an alternative method to compute the estimates of the regression parameters and knots. It is shown that the estimates obtained by this method are asymptotically equivalent to the maximum likelihood estimates considered by Chan. 相似文献
574.
Joanna J.J. Wang S. T. Boris Choy Jennifer S.K. Chan 《Journal of Statistical Computation and Simulation》2013,83(2):340-354
In modelling financial return time series and time-varying volatility, the Gaussian and the Student-t distributions are widely used in stochastic volatility (SV) models. However, other distributions such as the Laplace distribution and generalized error distribution (GED) are also common in SV modelling. Therefore, this paper proposes the use of the generalized t (GT) distribution whose special cases are the Gaussian distribution, Student-t distribution, Laplace distribution and GED. Since the GT distribution is a member of the scale mixture of uniform (SMU) family of distribution, we handle the GT distribution via its SMU representation. We show this SMU form can substantially simplify the Gibbs sampler for Bayesian simulation-based computation and can provide a mean of identifying outliers. In an empirical study, we adopt a GT–SV model to fit the daily return of the exchange rate of Australian dollar to three other currencies and use the exchange rate to US dollar as a covariate. Model implementation relies on Bayesian Markov chain Monte Carlo algorithms using the WinBUGS package. 相似文献
575.
Peng Zhao Ping Shing Chan Hon Keung Tony Ng 《Journal of statistical planning and inference》2011,141(5):1737-1743
In this paper, we provide sufficient conditions on weighted coefficients under which the peakedness comparison between weighted sums of independent random variables can be carried out. These results extend and enrich the existing peakedness results in the literature including those presented by Proschan (1965) and Ma (1998). 相似文献
576.
M. D. Koslovsky M. D. Swartz L. Leon-Novelo W. Chan A. V. Wilkinson 《Journal of Statistical Computation and Simulation》2018,88(3):575-596
We develop a Bayesian variable selection method for logistic regression models that can simultaneously accommodate qualitative covariates and interaction terms under various heredity constraints. We use expectation-maximization variable selection (EMVS) with a deterministic annealing variant as the platform for our method, due to its proven flexibility and efficiency. We propose a variance adjustment of the priors for the coefficients of qualitative covariates, which controls false-positive rates, and a flexible parameterization for interaction terms, which accommodates user-specified heredity constraints. This method can handle all pairwise interaction terms as well as a subset of specific interactions. Using simulation, we show that this method selects associated covariates better than the grouped LASSO and the LASSO with heredity constraints in various exploratory research scenarios encountered in epidemiological studies. We apply our method to identify genetic and non-genetic risk factors associated with smoking experimentation in a cohort of Mexican-heritage adolescents. 相似文献
577.
Wei Zhao Paolo Vicini Steven Novick Judith Anderton Gareth Davies Gina DAngelo Terrance O'Day Binbing Yu Jay Harper Rajesh Narwal Lorin Roskos Harry Yang 《Pharmaceutical statistics》2019,18(6):688-699
Linear models are generally reliable methods for analyzing tumor growth in vivo, with drug effectiveness being represented by the steepness of the regression slope. With immunotherapy, however, not all tumor growth follows a linear pattern, even after log transformation. Tumor kinetics models are mechanistic models that describe tumor proliferation and tumor killing macroscopically, through a set of differential equations. In drug combination studies, although an additional drug‐drug interaction term can be added to such models, however, the drug interactions suggested by tumor kinetics models cannot be translated directly into synergistic effects. We have developed a novel statistical approach that simultaneously models tumor growth in control, monotherapy, and combination therapy groups. This approach makes it possible to test for synergistic effects directly and to compare such effects among different studies. 相似文献
578.
579.
Dose‐finding studies that aim to evaluate the safety of single agents are becoming less common, and advances in clinical research have complicated the paradigm of dose finding in oncology. A class of more complex problems, such as targeted agents, combination therapies and stratification of patients by clinical or genetic characteristics, has created the need to adapt early‐phase trial design to the specific type of drug being investigated and the corresponding endpoints. In this article, we describe the implementation of an adaptive design based on a continual reassessment method for heterogeneous groups, modified to coincide with the objectives of a Phase I/II trial of stereotactic body radiation therapy in patients with painful osseous metastatic disease. Operating characteristics of the Institutional Review Board approved design are demonstrated under various possible true scenarios via simulation studies. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
580.
Kwok-bun Chan 《Journal of Family and Economic Issues》2010,31(3):387-395
This essay attempts to use exchange and balance theories to explain philanthropy. For exchange, such theoretical components as attractions or rewards, costs, barriers and alternatives are invoked to make sense of the biography of a Chinese philanthropist in Hong Kong who donated two schools to remember his father and wife. The balance theory was also used, which argues that people do not seek to maximize their pleasure or to minimize their pain, but to balance, advancing one purpose or concern without neglecting the other—to enhance their well-being and to act morally. The essay argues that the case study method is most able to handle complex behaviour and complex lives. It concludes with a plea for more active use of social theory in research on philanthropy as moral and economic behavior embedded in the social contexts of family, marriage and community. 相似文献