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791.
Peter G.M. Forbes Kanti V. Mardia 《Journal of Statistical Computation and Simulation》2015,85(13):2693-2701
Motivated by molecular biology, there has been an upsurge of research activities in directional statistics in general and its Bayesian aspect in particular. The central distribution for the circular case is von Mises distribution which has two parameters (mean and concentration) akin to the univariate normal distribution. However, there has been a challenge to sample efficiently from the posterior distribution of the concentration parameter. We describe a novel, highly efficient algorithm to sample from the posterior distribution and fill this long-standing gap. 相似文献
792.
The three-parameter Weibull distribution is widely used in life testing and reliability analysis. In this article, we propose an efficient method for the estimation of parameters and quantiles of the three-parameter Weibull distribution, which avoids the problem of unbounded likelihood, by using statistics invariant to unknown location. Through a Monte Carlo simulation study, we show that the proposed method performs well compared to other prominent methods based on bias and MSE. Finally, we present two illustrative examples. 相似文献
793.
On the Strong Consistency of M‐Estimates in Linear Models for Negatively Superadditive Dependent Errors 下载免费PDF全文
In this paper we discuss the strong consistency of M‐estimates of the regression parameters in a linear model with negatively superadditive dependent (NSD) random errors. The result improves the moment condition and generalises the case of independent random errors to that of NSD random errors. 相似文献
794.
The problem of multicollinearity and outliers in the data set produce undesirable effects on the ordinary least squares estimator. Therefore, robust two parameter ridge estimation based on M-estimator (ME) is introduced to deal with multicollinearity and outliers in the y-direction. The proposed estimator outperforms ME, two parameter ridge estimator and robust ridge M-estimator according to mean square error criterion. Moreover, a numerical example and a Monte Carlo simulation experiment are presented. 相似文献
795.
Abhik Ghosh 《Journal of applied statistics》2015,42(9):2056-2072
The density power divergence (DPD) measure, defined in terms of a single parameter α, has proved to be a popular tool in the area of robust estimation [1]. Recently, Ghosh and Basu [5] rigorously established the asymptotic properties of the MDPDEs in case of independent non-homogeneous observations. In this paper, we present an extensive numerical study to describe the performance of the method in the case of linear regression, the most common setup under the case of non-homogeneous data. In addition, we extend the existing methods for the selection of the optimal robustness tuning parameter from the case of independent and identically distributed (i.i.d.) data to the case of non-homogeneous observations. Proper selection of the tuning parameter is critical to the appropriateness of the resulting analysis. The selection of the optimal robustness tuning parameter is explored in the context of the linear regression problem with an extensive numerical study involving real and simulated data. 相似文献
796.
高级语言具有编程容易、方便且调试速度快的特点,汇编语言则具有运行速度快、占用内存小、能够直接访问计算机所有硬件等特点,将二者结合起来进行混合编程是解决某些程序设计问题的有效方法.介绍了Turboc与汇编语言的接口技术,其中包括用Turboc调用汇编子程序和TurboC行间嵌入汇编语句等内容,并给出了具体实例. 相似文献
797.
Martin Bachmaier 《AStA Advances in Statistical Analysis》2007,91(2):197-219
This paper gives conditions for the consistency of simultaneous redescending M-estimators for location
and scale. The consistency postulates the uniqueness of the parameters μ and σ, which are defined
analogously to the estimations by using the population distribution function instead of the empirical
one. The uniqueness of these parameters is no matter of course, because redescending ψ- and χ-functions,
which define the parameters, cannot be chosen in a way that the parameters can be considered as
the result of a common minimizing problem where the sum of ρ-functions of standardized residuals
is to be minimized. The parameters arise from two minimizing problems where the result of one problem
is a parameter of the other one. This can give different solutions. Proceeding from a symmetrical
unimodal distribution and the usual symmetry assumptions for ψ and χ leads, in most but not
in all cases, to the uniqueness of the parameters. Under this and some other assumptions, we can also
prove the consistency of the according M-estimators, although these estimators are usually not unique
even when the parameters are. The present article also serves as a basis for a forthcoming
paper, which is concerned with a completely outlier-adjusted confidence interval for μ. So
we introduce a ñ where data points far away from the bulk of the data are not counted at
all. 相似文献
798.
799.
This article is concerned with the parameter estimation in partly linear regression models when the errors are dependent. To overcome the multicollinearity problem, a generalized Liu estimator is proposed. The theoretical properties of the proposed estimator and its relationship with some existing methods designed for partly linear models are investigated. Finally, a hypothetical data is conducted to illustrate some of the theoretical results. 相似文献
800.
The article presents careful comparisons among several empirical Bayes estimates to the precision parameter of Dirichlet process prior, with the setup of univariate observations and multigroup data. Specifically, the data are equipped with a two-stage compound sampling model, where the prior is assumed as a Dirichlet process that follows within a Bayesian nonparametric framework. The precision parameter α measures the strength of the prior belief and kinds of estimates are generated on the basis of observations, including the naive estimate, two calibrated naive estimates, and two different types of maximum likelihood estimates stemming from distinct distributions. We explore some theoretical properties and provide explicitly detailed comparisons among these estimates, in the perspectives of bias, variance, and mean squared error. Besides, we further present the corresponding calculation algorithms and numerical simulations to illustrate our theoretical achievements. 相似文献