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1.
The well-known chi-squared goodness-of-fit test for a multinomial distribution is generally biased when the observations are subject to misclassification. In Pardo and Zografos (2000) the problem was considered using a double sampling scheme and ø-divergence test statistics. A new problem appears if the null hypothesis is not simple because it is necessary to give estimators for the unknown parameters. In this paper the minimum ø-divergence estimators are considered and some of their properties are established. The proposed ø-divergence test statistics are obtained by calculating ø-divergences between probability density functions and by replacing parameters by their minimum ø-divergence estimators in the derived expressions. Asymptotic distributions of the new test statistics are also obtained. The testing procedure is illustrated with an example. 相似文献
2.
This article measures the degree to which academic economists have engaged in unethical behavior and the degree to which academic economists believe the profession as a whole engages in unethical behavior. Three main types of unethical behavior are examined: (1) falsification of research; (2) expropriation of graduate student research or including an undeserving co-author on a research paper; and (3) exchange of grades for gifts, money, or sex. Using a unique data set gathered at the 1998 American Economic Association (AEA) meetings, we find that there is a significant amount of misconduct, particularly in the second category. 相似文献
3.
A more general methodology for fitting global cross-ratio models for discrete longitudinal responses
M. C. Pardo 《Statistics》2013,47(5):1071-1091
In this paper, we focus on repeated measurement problems, comprising an interesting research area in statistics. We study longitudinal data which arise when outcomes are observed repeatedly on each experimental subject at several points. We focus on a marginal approach for this type of data with lack of independence among the observations proposed by Dale [Global cross-ratio models for bivariate, discrete, ordered responses. Biometrics. 1986;42(4):909–917] for bivariate, discrete, ordered responses. We propose an alternative estimation based on divergence measures to the full likelihood method proposed in that paper. Finally, a wide simulation study and a data example that illustrates the new methodology is provided. 相似文献
4.
x
1, ..., x
n+r
can be treated as the sample values of a Markov chain of order r or less (chain in which the dependence extends over r+1 consecutive variables only), and consider the problem of testing the hypothesis H
0 that a chain of order r− 1 will be sufficient on the basis of the tools given by the Statistical Information Theory: ϕ-Divergences. More precisely, if p
a
1 .....,
a
r:
a
r
+1 denotes the transition probability for a r
th
order Markov chain, the hypothesis to be tested is
H
0:p
a
1 .....,
a
r:
a
r
+1 = p
a
2 .....,
a
r:
a
r
+1, a
i
∈{1, ..., s}, i = 1, ..., r + 1
The tests given in this paper, for the first time, will have as a particular case the likelihood ratio test and the test based
on the chi-squared statistic.
Received: August 3, 1998; revised version: November 25, 1999 相似文献
5.
In this paper we give solution to a conjecture appearing in Christensen (1997, p. 360) in relation to the definitions of standardized
residuals in loglinear models.
Work done when he was visiting as the Distinguished Lukacs Professor on leave from the Complutense University of Madrid.
An erratum to this article is available at . 相似文献
6.
7.
It sometimes occurs that one or more components of the data exert a disproportionate influence on the model estimation. We need a reliable tool for identifying such troublesome cases in order to decide either eliminate from the sample, when the data collect was badly realized, or otherwise take care on the use of the model because the results could be affected by such components. Since a measure for detecting influential cases in linear regression setting was proposed by Cook [Detection of influential observations in linear regression, Technometrics 19 (1977), pp. 15–18.], apart from the same measure for other models, several new measures have been suggested as single-case diagnostics. For most of them some cutoff values have been recommended (see [D.A. Belsley, E. Kuh, and R.E. Welsch, Regression Diagnostics: Identifying Influential Data and Sources of Collinearity, 2nd ed., John Wiley & Sons, New York, Chichester, Brisban, (2004).], for instance), however the lack of a quantile type cutoff for Cook's statistics has induced the analyst to deal only with index plots as worthy diagnostic tools. Focussed on logistic regression, the aim of this paper is to provide the asymptotic distribution of Cook's distance in order to look for a meaningful cutoff point for detecting influential and leverage observations. 相似文献
8.
9.
Basu Ayanendranath Ghosh Abhik Mandal Abhijit Martin Nirian Pardo Leandro 《Statistical Methods and Applications》2021,30(3):973-1005
Statistical Methods & Applications - We consider the problem of robust inference under the generalized linear model (GLM) with stochastic covariates. We derive the properties of the minimum... 相似文献
10.
For the model of independence in a two way contingency table, shrinkage estimators based on minimum φ-divergence estimators and φ-divergence statistics are considered. These estimators are based on the James–Stein-type rule and incorporate the idea of preliminary test estimator. The asymptotic bias and risk are obtained under contiguous alternative hypotheses, and on the basis of them a comparison study is carried out. 相似文献