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121.
In the linear regression model, the asymptotic distributions of certain functions of confidence bounds of a class of confidence intervals for the regression parameter arc investigated. The class of confidence intervals we consider in this paper are based on the usual linear rank statistics (signed as well as unsigned). Under suitable assumptions, if the confidence intervals are based on the signed linear rank statistics, it is established that the lengths, properly normalized, of the confidence intervals converge in law to the standard normal distributions; if the confidence intervals arc based on the unsigned linear rank statistics, it is then proved that a linear function of the confidence bounds converges in law to a normal distribution. 相似文献
122.
Using the data from the AIDS Link to Intravenous Experiences cohort study as an example, an informative censoring model was
used to characterize the repeated hospitalization process of a group of patients. Under the informative censoring assumption,
the estimators of the baseline rate function and the regression parameters were shown to be related to a latent variable.
Hence, it becomes impractical to directly estimate the unknown quantities in the moments of the estimators for the bandwidth
selection of a smoothing estimator and the construction of confidence intervals, which are respectively based on the asymptotic
mean squared errors and the asymptotic distributions of the estimators. To overcome these difficulties, we develop a random
weighted bootstrap procedure to select appropriate bandwidths and to construct approximated confidence intervals. One can
see that our method is simple and faster to implement from a practical point of view, and is at least as accurate as other
bootstrap methods. In this article, it is shown that the proposed method is useful through the performance of a Monte Carlo
simulation. An application of our procedure is also illustrated by a recurrent event sample of intravenous drug users for
inpatient cares over time. 相似文献
123.
Donald W. K. Andrews Xiaoxia Shi 《Econometrica : journal of the Econometric Society》2013,81(2):609-666
In this paper, we propose an instrumental variable approach to constructing confidence sets (CS's) for the true parameter in models defined by conditional moment inequalities/equalities. We show that by properly choosing instrument functions, one can transform conditional moment inequalities/equalities into unconditional ones without losing identification power. Based on the unconditional moment inequalities/equalities, we construct CS's by inverting Cramér–von Mises‐type or Kolmogorov–Smirnov‐type tests. Critical values are obtained using generalized moment selection (GMS) procedures. We show that the proposed CS's have correct uniform asymptotic coverage probabilities. New methods are required to establish these results because an infinite‐dimensional nuisance parameter affects the asymptotic distributions. We show that the tests considered are consistent against all fixed alternatives and typically have power against n−1/2‐local alternatives to some, but not all, sequences of distributions in the null hypothesis. Monte Carlo simulations for five different models show that the methods perform well in finite samples. 相似文献
124.
George‐Marios Angeletos Jennifer La'O 《Econometrica : journal of the Econometric Society》2013,81(2):739-779
This paper develops a new theory of fluctuations—one that helps accommodate the notions of “animal spirits” and “market sentiment” in unique‐equilibrium, rational‐expectations, macroeconomic models. To this goal, we limit the communication that is embedded in a neoclassical economy by allowing trading to be random and decentralized. We then show that the business cycle may be driven by a certain type of extrinsic shocks which we call sentiments. These shocks formalize shifts in expectations of economic activity without shifts in the underlying preferences and technologies; they are akin to sunspots, but operate in unique‐equilibrium models. We further show how communication may help propagate these shocks in a way that resembles the spread of fads and rumors and that gives rise to boom‐and‐bust phenomena. We finally illustrate the quantitative potential of our insights within a variant of the RBC model. 相似文献
125.
居于青藏高原的青海多元文化从来是源远流长与互补共存的,在新青海建设中青海人着眼于对先进文化的自觉追求、自觉建设、自信宣扬、自信扩展,紧紧围绕青海文化的独特价值,运用根基深厚、内容多彩的青海文化助推了青海经济的发展,丰富了群众的精神生活,使青海文化以豪迈的姿态走向全国、走向世界,赢得喝彩。其中的文化自觉、自信、自强表现出面向时代、面向世界、面向未来的开放心胸及重在建设与开拓的理性。 相似文献
126.
In this article, we consider the progressive Type II right censored sample from Pareto distribution. We introduce a new approach for constructing the simultaneous confidence interval of the unknown parameters of this distribution under progressive censoring. A Monte Carlo study is also presented for illustration. It is shown that this confidence region has a smaller area than that introduced by Ku? and Kaya (2007). 相似文献
127.
The problems of constructing tolerance intervals for the binomial and Poisson distributions are considered. Closed-form approximate equal-tailed tolerance intervals (that control percentages in both tails) are proposed for both distributions. Exact coverage probabilities and expected widths are evaluated for the proposed equal-tailed tolerance intervals and the existing intervals. Furthermore, an adjustment to the nominal confidence level is suggested so that an equal-tailed tolerance interval can be used as a tolerance interval which includes a specified proportion of the population, but does not necessarily control percentages in both tails. Comparison of such coverage-adjusted tolerance intervals with respect to coverage probabilities and expected widths indicates that the closed-form approximate tolerance intervals are comparable with others, and less conservative, with minimum coverage probabilities close to the nominal level in most cases. The approximate tolerance intervals are simple and easy to compute using a calculator, and they can be recommended for practical applications. The methods are illustrated using two practical examples. 相似文献
128.
David R. Bickel 《统计学通讯:理论与方法》2013,42(8):1478-1496
By representing fair betting odds according to one or more pairs of confidence set estimators, dual parameter distributions called confidence posteriors secure the coherence of actions without any prior distribution. This theory reduces to the maximization of expected utility when the pair of posteriors is induced by an exact or approximate confidence set estimator or when a reduction rule is applied to the pair. Unlike the p-value, the confidence posterior probability of an interval hypothesis is suitable as an estimator of the indicator of hypothesis truth since it converges to 1 if the hypothesis is true or to 0 otherwise. 相似文献
129.
František Rublík 《统计学通讯:理论与方法》2013,42(6):1038-1045
An explicit formula for confidence intervals for ratios of variances of several populations is presented. The intervals are based on jackknife statistics and the critical point of the studentized range distribution. The asymptotic probability of coverage is not less than the nominal value provided that the distributions of the sampled populations belong to a location-scale family of probabilities with finite fourth moment. 相似文献
130.
The magnitude of light intensity of many stars varies over time in a periodic way. Therefore, estimation of period and making inference about this parameter are of great interest in astronomy. The periodogram can be used to estimate period, properly. Bootstrap confidence intervals for period suggested here, are based on using the periodogram and constructed by percentile-t methods. We prove that the equal-tailed percentile-t bootstrap confidence intervals for period have an error of order n ?1. We also show that the symmetric percentile-t bootstrap confidence intervals reduce the error to order n ?2, and hence have a better performance. Finally, we assess the theoretical results by conducting a simulation study, compare the results with the coverages of percentile bootstrap confidence intervals for period and then analyze a real data set related to the eclipsing system R Canis Majoris collected by Shiraz Biruni Observatory. 相似文献