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11.
V.K. Srivastava 《Journal of statistical planning and inference》1982,6(3):297-299
This paper presents a class of estimators for the mean of a normal population and determines the conditions on characterizing scalars under which the class of estimators uniformly dominates over the conventional sample mean according to the mean-square-error criterion. 相似文献
12.
Moving Extremes Ranked Set Sampling (MERSS) is a useful modification of Ranked Set Sampling (RSS). Unlike RSS, MERSS allows
for an increase of set size without introducing too much ranking error. The method is considered parametrically under exponential
distribution. Maximum likelihood estimator (MLE), and a modified MLE are considered and their properties are studied. The
method is studied under both perfect and imperfect ranking (with error in ranking). It appears that these estimators can be
real competitors to the MLE using the usual simple random sampling (SRS). 相似文献
13.
Debasis Kundu 《统计学通讯:理论与方法》2013,42(12):3793-3803
The non-linear regression model, when the parameters are complex valued is considered here. Jennrich(1969) considered the non-linear regression model when the parameters are real valued. He first rigorously proved the existence of the least square estimator and showed its consistency properties and asymptotic normality. In this paper we generalise the idea for the com-plex parameters case. Large sample properties of the proposed estimator has been studied. 相似文献
14.
We investigate the interplay of smoothness and monotonicity assumptions when estimating a density from a sample of observations. The nonparametric maximum likelihood estimator of a decreasing density on the positive half line attains a rate of convergence of [Formula: See Text] at a fixed point t if the density has a negative derivative at t. The same rate is obtained by a kernel estimator of bandwidth [Formula: See Text], but the limit distributions are different. If the density is both differentiable at t and known to be monotone, then a third estimator is obtained by isotonization of a kernel estimator. We show that this again attains the rate of convergence [Formula: See Text], and compare the limit distributions of the three types of estimators. It is shown that both isotonization and smoothing lead to a more concentrated limit distribution and we study the dependence on the proportionality constant in the bandwidth. We also show that isotonization does not change the limit behaviour of a kernel estimator with a bandwidth larger than [Formula: See Text], in the case that the density is known to have more than one derivative. 相似文献
15.
《统计学通讯:理论与方法》2013,42(10):2443-2467
Abstract We consider multiple linear regression models under nonnormality. We derive modified maximum likelihood estimators (MMLEs) of the parameters and show that they are efficient and robust. We show that the least squares esimators are considerably less efficient. We compare the efficiencies of the MMLEs and the M estimators for symmetric distributions and show that, for plausible alternatives to an assumed distribution, the former are more efficient. We provide real-life examples. 相似文献
16.
Badi H. Baltagi 《Econometric Reviews》2013,32(2):165-169
This paper utilizes the results of Kruskal (1968), Zyskind (1967), and more recently Milliken and Albohali (1984) to derive a simple necessary and sufficient condition for 3SLS to be equivalent to 2SLS. This condition depends upon the inverse of the variance:covariance matrix of the disturbances, and the set of second stage regressors of each structural equation. More importantly, this condition should prove useful for econometric students and provides an easy method for checking sufficiency. 相似文献
17.
We study the heteroscedastic deconvolution problem when random noises have compactly supported densities. In this context, the Fourier transforms of the densities can vanish on the real line. We propose a truncated type of estimator for target density and derive the convergence rate of the mean L1-error uniformly over a class of target densities. A lower bound for the mean L1-error is also established. Some simulations will be given to illustrate the performance of the proposed estimator. 相似文献
18.
Suppose a finite population of several vertices, each connected to single or multiple edges. This constitutes a structure of graphical population of vertices and edges. As a special case, the graphical population like a binary tree having only two child vertices associated to parent vertex is taken into consideration. The entire binary tree is divided into two sub-graphs such as a group of left-nodes and a group of right-nodes. This paper takes into account a mixture of graph structured and population sampling theory together and presents a methodology for mean-edge-length estimation of left sub-graph using right edge sub-graph as an auxiliary source of information. A node-sampling procedure is developed for this purpose and a class of estimators is proposed containing several good estimators. Mathematical conditions for minimum bias and optimum mean squared error of the class are derived and theoretical results are numerically supported with a test of 99% confidence intervals. It is shown that suggested class has a sub-class of optimum estimators, and sample-based estimates are closer to the true value of the population parameter. 相似文献
19.
Mary E. Rauktis Rachael A. Fusco Helen CahalaneShauna M. Reinhart 《Children and youth services review》2011,33(7):1224-1233
While there are several measures of living environment restrictiveness, none has used the youth perspective in conceptualizing and operationalizing restrictiveness. The purpose of this qualitative study was to obtain the perspectives of child welfare involved youth who have lived in out-of-home care. Using focus group methodology, 40 youth were asked to define restriction and give examples of how it is operationalized in practice. Youth defined restriction as “rules”. The rules were about what youth can do, where they can go, who they can be with and how and with whom they can communicate. These rules were primarily characterized as inconsistent, arbitrary, non-individualized and developmentally inappropriate, although some characterized them as beneficial in the long term. Rules were mostly attributed to adult need for power and avoidance of legal responsibility for the youths. Typical feelings about the rules were anger, resentment, feeling labeled, isolated and stigmatized. Relationships influenced perceptions: within a positive relationship, youth understood and tolerated the rules that limited independence. The perception of what were normal restrictions for other youth not in out-of-home care was another influencing factor. These findings are examined in light of cognitive and affective development in adolescence. Recommendations for improving the measurement of living environment restrictiveness as well as enhancing child welfare services are proposed. 相似文献
20.
Charles J. Stone 《Journal of statistical planning and inference》2005,130(1-2):183-206
Many problems of practical interest can be formulated as the nonparametric estimation of a certain function such as a regression function, logistic or other generalized regression function, density function, conditional density function, hazard function, or conditional hazard function. Extended linear modeling provides a convenient theoretical framework for using polynomial splines and their selected tensor products in such function estimation problems and especially for obtaining rates of convergence of the resulting estimates in a unified manner. For a long time the theoretical results were restricted to fixed knot splines and to log-likelihood functions that were twice continuously differentiable. Recently, Stone and Huang extended the theory to handle free knot splines. In the present paper, the theory is further extended to handle contexts in which the log-likelihood function may not be differentiable. Specifically, we establish rates of convergence for estimation based on free knot splines in the context of nonparametric regression corresponding to M-estimates, which includes least absolute deviations (LAD) regression, quantile regression, and robust regression as special cases. 相似文献