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981.
In this paper the doubly noncentral beta and F distributions are represented alternatively by using the results on the product of two hypergeometric functions. Their moments
and the cumulative distribution functions are also given in terms of hypergeometric functions, which can be easily calculated
by the Mathematica package. 相似文献
982.
This paper characterises the Pareto and scaled beta distributions within the context of multiplicative damage and generating models. The results obtained allow the destructive or generating mechanism to have more general distributions on (0,1) than the beta(e, l) distribution considered by several authors, thus generalising some recent results. Errors in earlier work are mentioned. 相似文献
983.
Emad-Eldin A.A. Aly 《Revue canadienne de statistique》1983,11(3):211-219
The asymptotic distributions of spacing statistics based on exponential and uniform spacings are studied, and the corresponding rates of convergence are also given. 相似文献
984.
Peter J. Brockwell Paul W. Mielke Jr 《Australian & New Zealand Journal of Statistics》1984,26(1):30-38
A technique for deriving asymptotic distributions of matched-pairs permutation statistics based on distance measures is discussed and applied to four specific examples recently considered by Mielke & Berry (1982). 相似文献
985.
Divergence measures play an important role in statistical theory, especially in large sample theories of estimation and testing.
The underlying reason is that they are indices of statistical distance between probability distributions P and Q; the smaller
these indices are the harder it is to discriminate between P and Q. Many divergence measures have been proposed since the
publication of the paper of Kullback and Leibler (1951). Renyi (1961) gave the first generalization of Kullback-Leibler divergence,
Jeffreys (1946) defined the J-divergences, Burbea and Rao (1982) introduced the R-divergences, Sharma and Mittal (1977) the
(r,s)-divergences, Csiszar (1967) the ϕ-divergences, Taneja (1989) the generalized J-divergences and the generalized R-divergences
and so on. In order to do a unified study of their statistical properties, here we propose a generalized divergence, called
(h,ϕ)-divergence, which include as particular cases the above mentioned divergence measures. Under different assumptions, it is
shown that the asymptotic distributions of the (h,ϕ)-divergence statistics are either normal or chi square. The chi square and the likelihood ratio test statistics are particular
cases of the (h,ϕ)-divergence test statistics considered. From the previous results, asymptotic distributions of entropy statistics are derived
too. Applications to testing statistical hypothesis in multinomial populations are given. The Pitman and Bahadur efficiencies
of tests of goodness of fit and independence based on these statistics are obtained. To finish, apendices with the asymptotic
variances of many well known divergence and entropy statistics are presented.
The research in this paper was supported in part by DGICYT Grants N. PB91-0387 and N. PB91-0155. Their financial support is
gratefully acknowledged. 相似文献
986.
The article analyses the distribution of income between spouses and the consequences for their financial satisfaction within different welfare regimes. We find that the financial satisfaction of husbands declines and that the financial satisfaction of wives increases the more a wife earns relative to her husband. However, the relationships are often of an inversed U-shaped form for both sexes, with men achieving the highest satisfaction at an earlier stage than women. Within the Scandinavian welfare state regime this optimal distribution is found closer to the actual income distribution than in the continental European and liberal regimes, and in the southern European regime the optimal distribution is far from being achieved. 相似文献
987.
Robert Drake 《Journal of applied statistics》2014,41(9):2011-2027
The two-sample problem and its extension to the k-sample problem are well known in the statistical literature. However, the discrete version of the k-sample problem is relatively less explored. Here in this work we suggest a k-sample non-parametric test procedure for discrete distributions based on mutual information. A detailed power study with comparison with other alternatives is provided. Finally, a comparison of some English soccer league teams based on their goal-scoring pattern is discussed. 相似文献
988.
In this article, we use the bivariate Poisson distribution obtained by the trivariate reduction method and compound it with a geometric distribution to derive a bivariate Pólya-Aeppli distribution. We then discuss a number of properties of this distribution including the probability generating function, correlation structure, probability mass function, recursive relations, and conditional distributions. The generating function of the tail probabilities is also obtained. Moment estimation of the parameters is then discussed and illustrated with a numerical example. 相似文献
989.
In the present article we study several characteristics of the families of generalized beta- and gamma- generated distributions introduced by Alexander et al. (2011) and Zografos and Balakrishnan (2009), respectively. Simple formulas are established for calculating the failure rate of the members of the aforementioned families by exploiting the failure rate of the parent distribution. In addition, the aging properties of the generalized beta- and gamma-generated distributions are explored in terms of the corresponding aging behavior of the parent family. 相似文献
990.
Constant Stress Accelerated Life Test on a Multiple-Component Series System under Weibull Lifetime Distributions 总被引:1,自引:0,他引:1
We will discuss the reliability analysis of the constant stress accelerated life test on a series system connected with multiple components under independent Weibull lifetime distributions whose scale parameters are log-linear in the level of the stress variable. The system lifetimes are collected under Type I censoring but the components that cause the systems to fail may or may not be observed. The data are so called masked for the latter case. Maximum likelihood approach and the Bayesian method are considered when the data are masked. Statistical inference on the estimation of the underlying model parameters as well as the mean time to failure and the reliability function will be addressed. Simulation study for a three-component case shows that Bayesian analysis outperforms the maximum likelihood approach especially when the data are highly masked. 相似文献