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811.
Rao (1963) has formulated a damage model which we call an additive damage model. A suitable damage model, which we call a multiplicative damage model, has been considered by Krishnaji (1970) for income-related problems. In these models, an original observation is subjected to damage, e.g., death or under-reporting, according to a specified probability law. Within the framework of an additive damage model, with a special form of damage, characterizations of the linear and logarithmic exponential families are formulated using regression properties of the damaged part on the undamaged part. The characterizations of the gamma and Pareto distributions that have been found of some use in the theory of income distributions, are obtained as special cases. Similar results are investigated within the framework of the multiplicative damage model. 相似文献
812.
G. Pederzoli 《Revue canadienne de statistique》1977,5(1):147-151
The problem of testing independence in the multinormal case is considered in this paper. The non-null distribution of the likelihood ratio criterion is obtained for the case of two subvectors by using a simple straightforward technique. The null case as well as the known cases are also verified. 相似文献
813.
Luc Devroye 《Statistics and Computing》1993,3(3):125-134
We give random variate generators for the generalized hyperbolic secant distribution and related families such as Morris's skewed generalized hyperbolic secant family and a family introduced by Laha and Lukacs. The rejection method generators are uniformly fast over the parameter space and are based upon a complex function representation of the distributions due to Harkness and HarknessThe author's research was sponsored by NSERC Grant A3456 and FCAR Grant 90-ER-0291. 相似文献
814.
毒隐翅虫研究进展 1名称,分类与生物学 总被引:1,自引:0,他引:1
郑发科 《西华师范大学学报(自然科学版)》1988,(4)
本文论及毒隐翅虫的学名、俗名、分类与生物学.该属棣于毒隐翅虫亚科的毒隐翅虫族. 相似文献
815.
O. Brian Allen 《Revue canadienne de statistique》1983,11(2):109-118
The asymptotic properties of the maximum-likelihood estimator of the parameter vector for a class of birth-and-death processes admitting a unique stationary distribution are studied. Also, it is shown that identifiability of the parameter vector with respect to the likelihood implies that the Fisher information matrix is of full rank. Two special cases of biological interest are presented. One of these, the exponential birth-and-death process, is proposed as a more appropriate model of density dependence than the logistic process. 相似文献
816.
INFERENCE ABOUT THE MEAN OF A POISSON DISTRIBUTION IN THE PRESENCE OF A NUISANCE PARAMETER 总被引:2,自引:0,他引:2
In this note we examine the problem of estimating the mean of a Poisson distribution when a nuisance parameter is present. Using a condition of Cox (1958) about ancillarity in the presence of a nuisance parameter, we justify that inference about the parameter should be carried out using the conditional distribution given the appropriate ancillary statistics. A small simulation study has been done to compare the performance of the conditional likelihood approach and the standard likelihood approach. 相似文献
817.
Summary We idenify the invertible coherent functional relation between an array of asserted conditional probabilities and the probability
distribution for the sum of events that are regarded exchangeably, in the regular case thatP(N
N+1
|S
N
=a) ∈ (0, 1) for everya=0, 1, ...,N. The result is used to construct a useful algebraic and geometrical representation of all coherent inferences in the regular
case, including those that are nonlinear in the sum of the conditioning events. The special case in which conditional probabilities
mimic observed frequencies within (0, 1) receives an exact solution, which allows an easy interpretation of its surprising
consequences. Finally, we introduce a new direction in research on prior opinion assessment that this approach, inverse to
the usual one, suggests. 相似文献
818.
M. E. Bock P. Diaconis F. W. Huffer M. D. Perlman 《Revue canadienne de statistique》1987,15(4):387-395
We study the behavior of the tail probabilities of weighted averages of certain independently and identically distributed random variables as the weights are varied. We show that the upper and lower tails are smallest when all the weights are equal. Our results apply to exponential, chi-squared, gamma, and Weibull random variables. 相似文献
819.
In this article, small sample properties of the maximum-likelihood estimator (m.l.e.) for the offspring distribution (pk) and its mean m are considered in the context of the simple branching process. A representation theorem is given for the m.l.e. of (Pk) from which the m.l.e. of m is obtained. The case where p0 + p1 + p2 = 1 is studied in detail: numerical results are given for the exact bias of these estimators as a function of the age of the process; a curve fitting analysis expresses the bias of m? as a function of the mean and the variance of the offspring distribution and finally an “approximate m.l.e.” for (pk) is given. 相似文献
820.
For testing the hypothesis that several (s?2) linear regression surfaces Xki=αk+βkcki+Zki (k=1,…,s) are parallel to one another, i.e., β1=?=βs, a class of rank-order tests are considered. The tests are shown to be asymptotically distribution-free, and their asymptotic efficiency relative to the general likelihood ratio test is derived. Asymptotic optimality in the sense of Wald is also discussed. 相似文献