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801.
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
802.
Max V. Moldovan 《Australian & New Zealand Journal of Statistics》2011,53(1):27-42
In randomized clinical trials, it is often necessary to demonstrate that a new medical treatment does not substantially differ from a standard reference treatment. Formal testing of such ‘equivalence hypotheses’ is typically done by combining two one‐sided tests (TOST). A quite different strand of research has demonstrated that replacing nuisance parameters with a null estimate produces P‐values that are close to exact ( Lloyd 2008a ) and that maximizing over the residual dependence on the nuisance parameter produces P‐values that are exact and optimal within a class ( Röhmel & Mansmann 1999 ; Lloyd 2008a ). The three procedures – TOST, estimation and maximization of a nuisance parameter – can each be expressed as a transformation of an approximate P‐value. In this paper, we point out that TOST‐based P‐values will generally be conservative, even if based on exact and optimal one‐sided tests. This conservatism is avoided by applying the three transforms in a certain order – estimation followed by TOST followed by maximization. We compare this procedure with existing alternatives through a numerical study of binary matched pairs where the two treatments are compared by the difference of response rates. The resulting tests are uniformly more powerful than the considered competitors, although the difference in power can range from very small to moderate. 相似文献
803.
Ruth Marcus 《统计学通讯:理论与方法》2013,42(6):573-590
Consider a setup where one-sided simultaneous confidence bounds for linear parametric functions are desired. Here we improve the Bohrer and Francis (1972) bounds for situations where apriori information on the parameters is available in form of some restrictions on the parameter space. Application is made essentially to ordered ANOVA models and simple-tree ANOVA models. 相似文献
804.
We present a rank based method for obtaining point and interval estimates of a scale version of the intraclass correlation coefficient in a one-way random effects model. When compared to the method of Arvesen and Schmitz (1970), the new method is not only applicable to a broader class of situations, but also much easier to implement. Results of a simulation study indicate that the new procedure compares favorably with the Arvesen-Schmitz procedure and the classical normal theory procedure especially If the random components have heavy tailed distributions. 相似文献
805.
Vasant P. Bhapkar 《统计学通讯:理论与方法》2013,42(4):945-952
A counter-example shows that the proof of optimality of the marginal likelihood estimating function for parameter of interest, under the conditions assumed in Lloyd (1987), contains a gap and is, thus, invalid. The same comment applies to the generalized version of Lloyd’s Theorem given by Bhapkar and Srinivasan (1993). In the light of known results concerning Fisher information for parameter of interest and partial sufficiency of a suitable statistic, the counter-example reveals a similar gap in the proof of corollary 3.2 of Bhapkar (1991). 相似文献
806.
Jeffrey T. Terpstra 《统计学通讯:理论与方法》2013,42(8):1725-1739
A median-based estimate of the location (i.e. intercept) parameter in an autoregressive time series is considered. Specifically, the asymptotic joint distribution of the location estimate and a location invariant estimate of the AR parameter vector is derived. Applications of this result to rank-based estimates are briefly discussed and illustrated with a numerical example. 相似文献
807.
Kulan Ranasinghe 《Econometric Reviews》2013,32(4):359-378
This article proposes a semiparametric estimator of the parameter in a conditional duration model when there are inequality constraints on some parameters and the error distribution may be unknown. We propose to estimate the parameter by a constrained version of an unrestricted semiparametrically efficient estimator. The main requirement for applying this method is that the initial unrestricted estimator converges in distribution. Apart from this, additional regularity conditions on the data generating process or the likelihood function, are not required. Hence the method is applicable to a broad range of models where the parameter space is constrained by inequality constraints, such as the conditional duration models. In a simulation study involving conditional duration models, the overall performance of the constrained estimator was better than its competitors, in terms of mean squared error. A data example is used to illustrate the method. 相似文献
808.
Jiří Anděl 《Statistics》2013,47(1):141-158
The paper deals with statistical tests of hypotheses about the real parameter of a homogeneous time-discrete Markov process. The power function of an asymptotically uniformly most powerful unbiased sequence of tests is approximately calculated and the convergence order of the remainder term is given. The essential assumption used is the uniform ergodicity of the Markov process. 相似文献
809.
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
810.
《商业与经济统计学杂志》2013,31(3):370-379
Using the Savage–Dickey density ratio and an alternative approach that uses more relaxed assumptions, we develop methods to calculate the probability that a restriction holds at a point in time without assuming that the restriction holds at any other points in time. Both approaches use MCMC output only from the unrestricted model to compute the time-varying posterior probabilities for all models of interest. Using U.S. data, we find the probability that the long-run Phillips curve is vertical to be fairly high, but decreases over time. The probability that the NAIRU is not identified fluctuates over time, but increases after 1990. 相似文献