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881.
882.
The one-sided cumulative count of conforming (CCC) chart is a useful method to monitor nonconforming fraction in high-quality manufacturing processes. The nonconforming fraction parameter is assumed to be known when implementing a one-sided CCC chart. In this study, we investigated the impact of estimated nonconforming fraction, [pcirc] 0, in a one-sided CCC chart. The run length distribution is derived as well as the conditional probability of a false alarm rate (CFAR), conditional average run length (CARL) and its standard deviation (CSDRL). Simulation results are conducted to evaluate the effect of [pcirc] 0 in a one-sided CCC chart. The results show that values of CFAR, CARL and CSDRL are close to the nominal values for a large sample. The impact of estimation errors was also studied. We find that CFAR decreases for large [pcirc] 0. Thus, a large value of [pcirc] 0 is suggested for fewer false alarms. 相似文献
883.
Qiqing Yu George Y. C. Wong Michael P. Osborne Yuting Hsu Xiaosong Ai 《统计学通讯:理论与方法》2013,42(20):4380-4395
Consider the Lehmann model with time-dependent covariates, which is different from Cox’s model. We find out that (1) the parameter space for β under the Lehmann model is restricted, and the maximum point of the parametric likelihood for β may lie outside the parameter space; (2) for some particular time-dependent covariate, under the standard generalized likelihood the semiparametric maximum likelihood estimator (SMLE) is inconsistent and we propose a modified generalized likelihood which leads to the consistent SMLE. 相似文献
884.
Umesh D. Naik 《统计学通讯:理论与方法》2013,42(10):955-966
Consider that we have a collection of k populations π1, π2…,πk. The quality of the ith population is characterized by a real parameter θi and the population is to be designated as superior or inferior depending on how much the θi differs from θmax = max{θ1, θ2,…,θk}. From the set {π1, π2,…,πk}, we wish to select the subset of superior populations. In this paper we devise rules of selection which have the property that their selected set excludes all the inferior populations with probability at least 1?α, where a is a specified number. 相似文献
885.
Mohamed M. Shoukri 《统计学通讯:理论与方法》2013,42(17):1919-1934
In an expository paper, Siddiqui (1962), presented and investigated the origin of the Rayleigh Power Distribution.He also discussed the problems of estimation and fitting the distribution to some numerical data. In this article we discuss two problems connected with the Rayleigh Amplitude Distribution (RAD). The first is an extension to the work done by Siddiqui on estimation, where the second is concerned with testing the equality of several Rayleigh Amplitude Distributions, and in this context we derive the asymptotic null distribution of the test criterion. 相似文献
886.
Dallas R. Wingo 《统计学通讯:理论与方法》2013,42(10):1129-1138
This paper discusses maximum likelihood parameter estimation in the Pareto distribution for multicensored samples. In particu- lar, the modality of the associated conditional log-likelihood function is investigated in order to resolve questions concerninc the existence and uniqurneas of the lnarimum likelihood estimates.For the cases with one parameter known, the maximum likelihood estimates of the remaining unknown parameters are shown to exist and to be unique. When both parameters are unknown, the maximum likelihood estimates may or may not exist and be unique. That is, their existence and uniqueness would seem to depend solely upon the information inherent in the sample data. In viav of the possible nonexistence and/or non-uniqueness of the maximum likelihood estimates when both parameters are unknown, alternatives to standard iterative numerical methods are explored. 相似文献
887.
The weighted and integrated squared error between the sample characteristic function and the assumed characteristic function is shown to be an effective procedure for estimation of mixing proportions. For a particular form of the weighting, this procedure is equivalent to that of minimization with respect to the mixing proportions of the integrated squared error between a density and its kernel estimate. The efficiency, mean squared error, and ease of computation properties of this procedure are compared against those of several competitors. 相似文献
888.
D. Hill Peter 《统计学通讯:理论与方法》2013,42(20):2343-2356
We consider the estimation of the 90 and 95 percentiles of a normal distribution and also the construction of one-sided 90% and 95% -normal ranges. Three methods are proposed -the sample percentile method, and two based on kernel estimates of the density function using Fryer's method and the leaving-one-out method for choosing a smoothing parameter. A simulation study compares the methods in terms of bias, variance and mean square error of the population percentile estimates and of the eovers of the consequent normal ranges. 相似文献
889.
Four general classes of partially balanced designs for 2n factorials, corresponding to four different forms of a general null hypothesis H on factorial effects, are presented. For the typical design in each class, the simplified form of the non-centrality parameter λ2 of the asymptotic chi-square distribution of the likelihood ratio statistic for testing the corresponding form of H0 is derived under defined local alternatives. Optimal designs d1 maximizing λ2 in the i-th class and minimizing the trace, determinant and largest eigenvalue of a defined covariance matrix, i =1,…,4, are determined. 相似文献
890.
Yi-Ching Yao 《统计学通讯:理论与方法》2013,42(8):2455-2466
The problem of estimation of parameters in hazard rate models with a change-point is considered. An interesting feature of this problem is that the likelihood function is unbounded. A maximum likelihood estimator of the change-point subject to a natural constraint is proposed, which is shown to be consistent.The limiting distributions are also derived. 相似文献