排序方式: 共有119条查询结果,搜索用时 15 毫秒
41.
The t distribution has proved to be a useful alternative to the normal distribution especially When robust estimation is desired. We consider the multivariate nonlinear Student-t regression model and show that the biased of the estimates of the regression coefficients can be computed from an auxiliary generalized linear regression. We give a formula for the biases of the estimates of the parameters in the scale matrix, which also can be computed by means of a generalized linear regression. We briefly discuss some important special cases and present simulation results which indicate that our bias-corrected estimates outperform the uncorrected ones in small samples. 相似文献
42.
We study a new family of distributions defined by the minimum of the Poisson random number of independent identically distributed random variables having a general exponentiated G distribution. Some mathematical properties of the new family including ordinary and incomplete moments, quantile and generating functions, mean deviations, order statistics and their moments, reliability, and Shannon entropy are derived. Maximum likelihood estimation of the model parameters is investigated. Two special models of the new family are discussed. We perform an application to a real data set to show the potentiality of the proposed family. 相似文献
43.
Gauss M. Cordeiro Maria Do Carmo S. Lima Audrey H.M.A. Cysneiros Marcelino A. R. Pascoa Rodrigo R. Pescim 《统计学通讯:理论与方法》2013,42(8):2268-2297
AbstractBirnbaum and Saunders (1969a) pioneered a lifetime model which is commonly used in reliability studies. Based on this distribution, a new model called the gamma Birnbaum–Saunders distribution is proposed for describing fatigue life data. Several properties of the new distribution including explicit expressions for the ordinary and incomplete moments, generating and quantile functions, mean deviations, density function of the order statistics, and their moments are derived. We discuss the method of maximum likelihood and a Bayesian approach to estimate the model parameters. The superiority of the new model is illustrated by means of three failure real data sets. We also propose a new extended regression model based on the logarithm of the new distribution. The last model can be very useful to the analysis of real data and provide more realistic fits than other special regression models. 相似文献
44.
Gauss M. Cordeiro Marcelo Bourguignon Edwin M. M. Ortega Thiago G. Ramires 《统计学通讯:理论与方法》2018,47(5):1050-1070
The construction of some wider families of continuous distributions obtained recently has attracted applied statisticians due to the analytical facilities available for easy computation of special functions in programming software. We study some general mathematical properties of the log-gamma-generated (LGG) family defined by Amini, MirMostafaee, and Ahmadi (2014). It generalizes the gamma-generated class pioneered by Risti? and Balakrishnan (2012). We present some of its special models and derive explicit expressions for the ordinary and incomplete moments, generating and quantile functions, mean deviations, Bonferroni and Lorenz curves, Shannon entropy, Rényi entropy, reliability, and order statistics. Models in this family are compared with nested and non nested models. Further, we propose and study a new LGG family regression model. We demonstrate that the new regression model can be applied to censored data since it represents a parametric family of models and therefore can be used more effectively in the analysis of survival data. We prove that the proposed models can provide consistently better fits in some applications to real data sets. 相似文献
45.
The Kumaraswamy Gumbel distribution 总被引:1,自引:0,他引:1
Gauss M. Cordeiro Saralees Nadarajah Edwin M. M. Ortega 《Statistical Methods and Applications》2012,21(2):139-168
The Gumbel distribution is perhaps the most widely applied statistical distribution for problems in engineering. We propose
a generalization—referred to as the Kumaraswamy Gumbel distribution—and provide a comprehensive treatment of its structural
properties. We obtain the analytical shapes of the density and hazard rate functions. We calculate explicit expressions for
the moments and generating function. The variation of the skewness and kurtosis measures is examined and the asymptotic distribution
of the extreme values is investigated. Explicit expressions are also derived for the moments of order statistics. The methods
of maximum likelihood and parametric bootstrap and a Bayesian procedure are proposed for estimating the model parameters.
We obtain the expected information matrix. An application of the new model to a real dataset illustrates the potentiality
of the proposed model. Two bivariate generalizations of the model are proposed. 相似文献
46.
Alexandre B. Simas Gauss M. Cordeiro Andréa V. Rocha 《Journal of statistical planning and inference》2010
We introduce the dispersion models with a regression structure to extend the generalized linear models, the exponential family nonlinear models (Cordeiro and Paula, 1989) and the proper dispersion models (Jørgensen, 1997a). We provide a matrix expression for the skewness of the maximum likelihood estimators of the regression parameters in dispersion models. The formula is suitable for computer implementation and can be applied for several important submodels discussed in the literature. Expressions for the skewness of the maximum likelihood estimators of the precision and dispersion parameters are also derived. In particular, our results extend previous formulas obtained by Cordeiro and Cordeiro (2001) and Cavalcanti et al. (2009). A simulation study is performed to show the practice importance of our results. 相似文献
47.
Edwin M.M. Ortega Gauss M. Cordeiro Elizabeth M. Hashimoto Kahadawala Cooray 《Journal of applied statistics》2014,41(9):1859-1880
We introduce the log-odd Weibull regression model based on the odd Weibull distribution (Cooray, 2006). We derive some mathematical properties of the log-transformed distribution. The new regression model represents a parametric family of models that includes as sub-models some widely known regression models that can be applied to censored survival data. We employ a frequentist analysis and a parametric bootstrap for the parameters of the proposed model. We derive the appropriate matrices for assessing local influence on the parameter estimates under different perturbation schemes and present some ways to assess global influence. Further, for different parameter settings, sample sizes and censoring percentages, some simulations are performed. In addition, the empirical distribution of some modified residuals are given and compared with the standard normal distribution. These studies suggest that the residual analysis usually performed in normal linear regression models can be extended to a modified deviance residual in the proposed regression model applied to censored data. We define martingale and deviance residuals to check the model assumptions. The extended regression model is very useful for the analysis of real data. 相似文献
48.
Dirac Moutinho Cordeiro 《统计学通讯:模拟与计算》2013,42(3):719-740
In this paper we state and justify a two-stage sampling procedure for selecting a subset of size m containing the t best of k independent normal populations, when the ranking parameters are the population means. We do not assume that the variances of the populations are known or equal. Discrete event simulation studies are often concerned with choosing one or more system designs which are best in some sense. We present empirical results from a typical simulation application for which the observations are not normally distributed. 相似文献
49.
E. M. Hashimoto E. M. M. Ortega G. M. Cordeiro A. K. Suzuki M. W. Kattan 《Journal of applied statistics》2020,47(12):2159
The multinomial logistic regression model (MLRM) can be interpreted as a natural extension of the binomial model with logit link function to situations where the response variable can have three or more possible outcomes. In addition, when the categories of the response variable are nominal, the MLRM can be expressed in terms of two or more logistic models and analyzed in both frequentist and Bayesian approaches. However, few discussions about post modeling in categorical data models are found in the literature, and they mainly use Bayesian inference. The objective of this work is to present classic and Bayesian diagnostic measures for categorical data models. These measures are applied to a dataset (status) of patients undergoing kidney transplantation. 相似文献
50.
This paper reviews the literature on Bartlett and Bartlett-type corrections. It focuses on the corrections to the likelihood ratio, score and Wald test statistics. Three different Bartlett-type corrections which are equivalent to order n-1, n being the sample size, are compared through simulation. One of the forms displayed superior behavior both in terms of size and power. We also use Monte Carlo simulation to examine the effect of independent variables and the impact of the number of nuisance parameters on the finite-sample behavior of some asymptotic econometric criteria in regression models. 相似文献