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951.
文章研究了第一型曲线积分中值定理"中间点"的渐近性,获得了一些重要结果,得出它也是定积分中值定理相应结果的推广. 相似文献
952.
Martin Bachmaier 《Statistical Papers》2000,41(1):53-64
Using Fisher's information fort-distributions, the absolute asymptotic efficiency of some M-estimates for scale with known location parameter is calculated
and graphically illustrated. The compared estimators are the standard deviationS
*, the mean absolute deviation, called mean deviationD
*, the median absolute deviation, called MAD*, and some M-estimates for scale, one, which is very robust, and another one with high asymptotic efficiency fort-distributions close to the normal. The last one is considered with monotone (in the positive field) and with very late redescending
χ-function too. Also the
, an alternative and generalized excess measure defined as the double relative asymptotic variance of the underlying scale
estimator
in the previous paper, is calculated fort-distributions and graphically illustrated, because there is the relation that the higher the asymptotic efficiency of
is, the lower is the corresponding
. 相似文献
953.
Roger L. Berger 《Journal of statistical planning and inference》1984,10(3):277-288
The consistency and asymptotic normality of a linear least squares estimate of the form (X'X)-X'Y when the mean is not Xβ is investigated in this paper. The least squares estimate is a consistent estimate of the best linear approximation of the true mean function for the design chosen. The asymptotic normality of the least squares estimate depends on the design and the asymptotic mean may not be the best linear approximation of the true mean function. Choices of designs which allow large sample inferences to be made about the best linear approximation of the true mean function are discussed. 相似文献
954.
关于中值定理“中间点”渐近性的若干注记 总被引:2,自引:0,他引:2
给出了几类中值定理的“中间点”在更弱条件下的渐近性质,推广、改进了有关文献中相应的结果。 相似文献
955.
The idea of searching for orthogonal projections, from a multidimensional space into a linear subspace, as an aid to detecting non-linear structure has been named exploratory projection pursuit.Most approaches are tied to the idea of searching for interesting projections. Typically, an interesting projection is one where the distribution of the projected data differs from the normal distribution. In this paper we define two projection indices which are aimed specifically at finding projections that best show grouped structure in the plane, if this exists in the multi-dimensional space. These involve a numerical optimization problem which is tackled in two stages, the projection and the pursuit; the first is based on a procedure to generate pseudo-random rotation matrices in the sense of the grand tour by D. Asimov (1985), and the second is a local numerical optimization procedure. One artificial and one real example illustrate the performance of the suggested indices. 相似文献
956.
Kuang-Fu Cheng 《Revue canadienne de statistique》1982,10(1):49-58
Linear functions of order statistics (“L-estimates”) of the form Tn =under jackknifing are investigated. This paper proves that with suitable conditions on the function J, the jackknifed version Tn of the L-estimate Tn has the same limit distribution as Tn. It is also shown that the jackknife estimate of the asymptotic variance of n1/2 is consistent. Furthermore, the Berry-Esséen rate associated with asymptotic normality, and a law of the iterated logarithm of a class of jackknife L-estimates, are characterized. 相似文献
957.
Robb J. Muirhead 《Revue canadienne de statistique》1982,10(1):59-62
It has recently been shown by Perlman (1980) that when testing the equality of several normal distributions it is the likelihood ratio test which is unbiased rather than a test based on a modified statistic in common use. This paper gives expansions for the null distribution of the likelihood ratio statistic as well as for the nonnull distribution in a special case. 相似文献
958.
F. T. Wright 《Revue canadienne de statistique》1984,12(3):229-236
The least-absolute-deviation estimate of a monotone regression function on an interval has been studied in the literature. If the observation points become dense in the interval, the almost sure rate of convergence has been shown to be O(n1/4). Applying the techniques used by Brunk (1970, Nonparametric, Techniques in Statistical Inference. Cambridge Univ. Press), the asymptotic distribution of the l1 estimator at a point is obtained. If the underlying regression function has positive slope at the point, the rate of convergence is seen to be O(n1/3). Monotone percentile regression estimates are also considered. 相似文献
959.
General conditions for the asymptotic efficiency of certain new inference procedures based on empirical transform functions are developed. A number of important processes, such as the empirical characteristic function, the empirical moment generating function, and the empirical moments, are considered as special cases. 相似文献
960.
Jun Shao 《Revue canadienne de statistique》1990,18(4):327-336
We propose a method of estimating the asymptotic relative efficiency (ARE) of the weighted least-squares estimator (WLSE) with respect to the ordinary least-squares estimator (OLSE) in a heteroscedastic linear regression model with a large number of observations but a small number of replicates at each value of the regressors. The weights used in the WLSE are the reciprocals of the (within-group) average of squared residuals. It is shown that the OLSE is more efficient than the WLSE if the maximum number of replicates is not larger than two. The proposed estimator of the ARE is consistent as the number of observations tends to infinity. Finite-sample performance of this estimator is examined in a simulation study. An adaptive estimator, which is asymptotically more efficient than the OLSE and the WLSE, is proposed. 相似文献