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691.
In this paper, we discuss the concomitants of record values arising from the well-known bivariate normal distribution BVND(μ1, μ2,σ1,σ2, ρ). We have obtained the best linear unbiased estimators of μ2 and σ2 when ρ is known and derived some unbiased linear estimators of ρ when μ2 and σ2 are known, based on the concomitants of first n record values. The variances of these estimators have been obtained. 相似文献
692.
Miroslav M. Ristić 《Statistical Papers》2008,49(2):343-351
In this paper a generalization of the semi-Pareto autoregressive minification process of the first order is given. The necessary and sufficient condition for stationarity of the process is determined. It is shown that the process is ergodic and uniformly mixing. The joint survival function and the joint density function of the random variables X n+h and X n are determined. The extremes of the random variables X 1, X 2, ..., X n and the geometric extremes of random variables X 1, X 2, ..., X N are derived and their asymptotic distributions are discussed. The estimation of the parameters is discussed and some numerical results are given. 相似文献
693.
The purpose of this paper is to investigate the robustness (stability of Type I error to deviations from normality) and power properties of various tests for testing equality of population variances. It is shown that the tests based on Tiku’ s (1967, 1980, 1982) MML estimators have good robustness properties and are the most powerful overall. 相似文献
694.
Walter Kräer 《统计学通讯:理论与方法》2013,42(8):1997-2005
The paper gives sufficient conditions for the consistency and asymptotic normality of OLS in linear simultaneous equation systems with trend in some exogenous variables, extending the results of Krämer (1981, 1984) to more general types of trend. When con- sistent, OLS is also shown to have the same limiting distribution as any k-class estimator with a stochastically bounded k, and to produce a consistent estimate of the error variance in the equation. 相似文献
695.
Albertus S. Koorts 《统计学通讯:理论与方法》2013,42(10):2331-2343
All the estimators considered by Rao (1961; 1963) belong to a certain class of minimum discrepancy estimators. A new representation of Rao s second measure of second order efficiency is given for estimators belonging to this class. 相似文献
696.
Variance components estimation for the balanced random effects model under mixed prior distributions
For the balanced random effects models, when the variance components are correlated either naturally or through common prior structures, by assuming a mixed prior distribution for the variance components, we propose some new Bayesian estimators. To contrast and compare the new estimators with the minimum variance unbiased (MVUE) and restricted maximum likelihood estimators (RMLE), some simulation studies are also carried out. It turns out that the proposed estimators have smaller mean squared errors than the MVUE and RMLE. 相似文献
697.
D.R. Cox 《Statistics》2013,47(1):3-22
A general review is given of statistical methods for nonlinear regression situations and some associated problems are mentioned. After general preliminary comments, a number of types of nonlinear model are outlined. Their parameterization is then examined. Analysis of residuals, with some emphasis on nonlinear models, is then considered and finally transformations of response and explanatory variable are discussed. 相似文献
698.
We consider a truncated Midzuno–Sen sampling scheme. The proposed method can be used to estimate the distribution function of a study variable assuming that the distribution function of an auxiliary variable is known. The ratio estimator for estimating the distribution function is shown to remain unbiased. We introduce the first- and second-order inclusion probabilities under the truncated Midzuno–Sen sampling scheme. Numerical examples are provided to support our theoretical results. 相似文献
699.
Robert W. Resek 《统计学通讯:理论与方法》2013,42(7):635-645
We have observations for a t distribution with unknown mean, variance, and degrees of freedom, each of which we wish to estimate. The major problem lies in the estimate of the degrees of freedom. We show that a relatively efficient yet very simple estimator is a given function of the ratio of percentile estimates. We derive the appropriate estimator, provide equations for transformation and standard errors, contrast this with other estimators, and give examples. 相似文献
700.
A generalization of the classical random sampling scheme is suggested. Based on the proposed generalization one can derive many new minimum variance unbiased estimators for probabilities, as well as for other functions of unknown parameters, for the multivariate Pólya, the multivariate negative Pólya, the multinomial, the multivariate hypergeometric, the multivariate Poisson, and the Wishart probability distributions. 相似文献