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141.
In this paper we develop a test based on the empirical distribution function for the alternative representing 'decreasing variance residual life1 property. The test is consistent with asymptotically normal test statistic and is shown to perform well in the Pitman's asymptotic relative efficiency sense. 相似文献
142.
Jun Shao 《统计学通讯:理论与方法》2013,42(9):3017-3028
Let σ2 be the asymptotic variance of the sample p-quantile (0<p<1). Consistency of the delete-d jackknife estimators of σ2 with d being a fraction of n is proved under very weak conditions. Some other results, such as the asymptotic orders of the moments of the jackknife histograms and an analog of the generalized Helly's theorem, are also established. 相似文献
143.
Hsien-Ming Hung 《统计学通讯:理论与方法》2013,42(9):3447-3470
In a clustered finite population, it is assumed that a given function depending on an unknown parameter may be adopted to reveal the relationship among the variables of interest. The finite population parameter corresponding to this unknown parameter is defined as a solution of an estimating equation defined by a properly chosen population loss function. An estimation procedure that takes sample weights into account is considered. Use of this function in estimating the population mean per cluster is discussed. Large sample properties of estimators are investigated. 相似文献
144.
In this paper, the regression model with a nonnegativity constraint on the dependent variable is considered. Under weak conditions, L 1 estimates of the regression coefficients are shown to be consistent. 相似文献
145.
N. Sambamoorthi 《统计学通讯:理论与方法》2013,42(6):2087-2106
We discuss the issue of dimensionality reduction in multinomial logistic models as problems arising in variable selection, collapsibility of responses and linear restrictions in the parameter matrix. A method using the information theoretic criterion suggested by Bai, Krishnaiah and Zhao, a variation of Akaike information criterion, is used to estimate the rank of the parameter matrix. The same procedure is used for the selection of variables and collapsibility of response categories. The strong consistency of this procedure is established in all the problems. 相似文献
146.
Recently amplitude modulated (AM) model in presence of additive white noise was used to analyze certain non-stationary speech data. It is observed that the assumption of white noise may not be proper in many cases. In this article, we consider the AM signal model in presence of stationary noise. We consider the least squares estimators and the estimators obtained by maximizing the Periodogram function. The two estimators are asymptotically equivalent. We study the theoretical properties of both estimators and observe their performances through numerical simulations. One speech data is analyzed and it is observed that the performance of the proposed estimators is quite satisfactory. 相似文献
147.
Here we have obtained a non-parametric test for testing the null hypothesis H0 that the given realization is from a Markov process against the alternative hypothesis H1 that it is from a semi-Markov process with the transition rate monotone increasing (or decreasing). We have shown that the test criterion has normal distribution asymptotically, and the test is consistent and unbiased. 相似文献
148.
M. Ruiz Espejo 《Statistics》2013,47(2):287-291
A new expression of the variance of the units from a stratified finite population wit L strata, is obtained in funcions of the means L–1 strata, and in conseqeuence we obtained formulae which relates the mean of a stratum in a statistical study with the population mean and the ones of the remaining strate. As an application, we obtained a useful checking of the estimation consistency by stratified sampling in any precies survey 相似文献
149.
The consistency and asymptotic normality of self-consistent estimators (SCE) of survival functions with doubly-censored data have been studied by many authors. However, to the best of our knowledge, expressions of the asymptotic variance of the SCE have not been derived in the literature. In this paper, under the assumption that the survival time and censoring time distributions are discrete with finitely many jump points, an expression and a consistent estimator of the asymptotic variance of the SCE are presented. A proof of the strong consistency of the SCE is also presented. Our simu¬lation studies indicate that the estimate of the asymptotic variance is very close to the true value even with moderate sample sizes and high censoring rates 相似文献
150.
Latifa Adjoudj 《统计学通讯:理论与方法》2013,42(18):4598-4641
AbstractIn survival or reliability studies, it is common to have data which are not only incomplete but weakly dependent too. Random truncation and censoring are two common forms of such data when they are neither independent nor strongly mixing but rather associated. The focus of this paper is on estimating conditional distribution and conditional quantile functions for randomly left truncated data satisfying association condition. We aim at deriving strong uniform consistency rates and asymptotic normality for the estimators and thereby, extend to association case some results stated under iid and α-mixing hypotheses. The performance of the quantile function estimator is evaluated on simulated data sets. 相似文献