Mark Carpenter  Parminder Singh 《统计学通讯:模拟与计算》2013,42(4):846-855

The analysis of categorical response data through the multinomial model is very frequent in many statistical, econometric, and biometric applications. However, one of the main problems is the precise estimation of the model parameters when the number of observations is very low. We propose a new Bayesian estimation approach where the prior distribution is constructed through the transformation of the multivariate beta of Olkin and Liu (2003 Olkin , I. , Liu , R. ( 2003 ). A bivariate beta distribution . Stat. Probab. Lett. 62 : 407 – 412 .[Crossref], [Web of Science ®] , [Google Scholar]). Moreover, the application of the zero-variance principle allows us to estimate moments in Monte Carlo simulations with a dramatic reduction of their variances. We show the advantages of our approach through applications to some toy examples, where we get efficient parameter estimates.  相似文献   

    

Hyo-Il Park 《统计学通讯:模拟与计算》2013,42(3):558-570

In this study, we propose a median control chart. In order to determine the control limits, we consider using an estimate of the variance of sample median. Also, we consider applying the bootstrap methods. Then we illustrate the proposed median control chart with an example and compare the bootstrap methods by simulation study. Finally, we discuss some peculiar features for the median control chart as concluding remarks.  相似文献   

    

Yuanhui Xiao  Jiawei Liu  Madhusudan Bhandary 《统计学通讯:模拟与计算》2013,42(1):111-118

In this article, we propose an approach for estimating the confidence interval of the common intraclass correlation coefficient based on the profile likelihood. Comparisons are made with a procedure using the concept of generalized pivots. The method presented is less computationally demanding than the method using generalized pivots. The approach also provides better coverage, and shorter lengths of confidence intervals for the case when the value of the common intraclass correlation coefficient is low. The lengths of confidence intervals given by both methods are quite comparable for high but less realistic values of the common intraclass correlation coefficient.  相似文献   

    

Ryan S. Gill  Michael I. Baron 《统计学通讯:理论与方法》2013,42(4):727-742

We suggest and compare two multiple change-point algorithms (segmentation and sequential) for accurate detection of the onset of abrupt leaks in blended underground storage tanks. We apply these algorithms to two simulated scenarios to demonstrate the advantages of the sequential algorithm, and then we apply the sequential algorithm to the Cary blended site data. In addition, we obtain a confidence set for the locations of the change points conditional on the number of change points by inverting the related hypothesis test.  相似文献   

    

Ruiqin Tian  Liugen Xue 《统计学通讯:理论与方法》2014,43(18):3893-3904

In this article, the generalized linear model for longitudinal data is studied. A generalized empirical likelihood method is proposed by combining generalized estimating equations and quadratic inference functions based on the working correlation matrix. It is proved that the proposed generalized empirical likelihood ratios are asymptotically chi-squared under some suitable conditions, and hence it can be used to construct the confidence regions of the parameters. In addition, the maximum empirical likelihood estimates of parameters are obtained, and their asymptotic normalities are proved. Some simulations are undertaken to compare the generalized empirical likelihood and normal approximation-based method in terms of coverage accuracies and average areas/lengths of confidence regions/intervals. An example of a real data is used for illustrating our methods.  相似文献   

    

Guannan Wang  Zhizhong Wang  Xiaohui Liu 《统计学通讯:理论与方法》2013,42(4):644-659

This article aims at proposing a new type of empirical likelihood testing procedure based on the Wilks theorem and imputed value in censored partial linear model. The present study is mainly designed to use empirical likelihood (EL) method based on synthetic dependent data, and the result can not be applied directly due to the weights in it. In this article, a censored empirical log-likelihood ratio is introduced to tackle this problem. Particularly, we demonstrate that its limiting distribution is a standard chi-squared distribution with freedom of one. This method is used to calculate the p-value and construct the confidence interval. Some simulation studies are conducted to highlight the performance of the proposed EL method, and the results show that it performs well. Finally, an illustration is given using the Stanford Heart Transplant data.  相似文献   

    

Zerouati Halima  Dahmani Abdelnasser 《统计学通讯:理论与方法》2013,42(18):5251-5262

ABSTRACT

Calibration, also called inverse regression, is a classical problem which appears often in a regression setup under fixed design. The aim of this article is to propose a stochastic method which gives an estimated solution for a linear calibration problem. We establish exponential inequalities of Bernstein–Frechet type for the probability of the distance between the approximate solutions and the exact one. Furthermore, we build a confidence domain for the so-mentioned exact solution. To check the validity of our results, a numerical example is proposed.  相似文献   

    

Yanting Xiao  Zheng Tian  Wenyan Guo 《统计学通讯:理论与方法》2013,42(16):3523-3540

This article is concerned with partially non linear models when the response variables are missing at random. We examine the empirical likelihood (EL) ratio statistics for unknown parameter in non linear function based on complete-case data, semiparametric regression imputation, and bias-corrected imputation. All the proposed statistics are proven to be asymptotically chi-square distribution under some suitable conditions. Simulation experiments are conducted to compare the finite sample behaviors of the proposed approaches in terms of confidence intervals. It showed that the EL method has advantage compared to the conventional method, and moreover, the imputation technique performs better than the complete-case data.  相似文献   

    

Leila Golparvar 《统计学通讯:理论与方法》2013,42(24):7258-7274

ABSTRACT

In this paper, under Type-I progressive hybrid censoring sample, we obtain maximum likelihood estimator of unknown parameter when the parent distribution belongs to proportional hazard rate family. We derive the conditional probability density function of the maximum likelihood estimator using moment-generating function technique. The exact confidence interval is obtained and compared by conducting a Monte Carlo simulation study for burr Type XII distribution. Finally, we obtain the Bayes and posterior regret gamma minimax estimates of the parameter under a precautionary loss function with precautionary index k = 2 and compare their behavior via a Monte Carlo simulation study.  相似文献   

    

Yanting Xiao  Zheng Tian  Jin Sun 《统计学通讯:理论与方法》2013,42(24):7103-7118

ABSTRACT

In this article, partially non linear models when the response variable is measured with error and explanatory variables are measured exactly are considered. Without specifying any error structure equation, a semiparametric dimension reduction technique is employed. Two estimators of unknown parameter in non linear function are obtained and asymptotic normality is proved. In addition, empirical likelihood method for parameter vector is provided. It is shown that the estimated empirical log-likelihood ratio has asymptotic Chi-square distribution. A simulation study indicates that, compared with normal approximation method, empirical likelihood method performs better in terms of coverage probabilities and average length of the confidence intervals.  相似文献