Basu, Ayanendranath Ghosh, Abhik Martin, Nirian Pardo, Leandro
Published in
Metrika
This paper considers the problem of robust hypothesis testing under non-identically distributed data. We propose Wald-type tests for both simple and composite hypothesis for independent but non-homogeneous observations based on the robust minimum density power divergence estimator of the common underlying parameter. Asymptotic and theoretical robus...
Hossain, Shakhawat Thomson, Trevor Ahmed, Ejaz
Published in
Metrika
This paper is concerned with the selection and estimation of fixed effects in linear mixed models while the random effects are treated as nuisance parameters. We propose the non-penalty James–Stein shrinkage and pretest estimation methods based on linear mixed models for longitudinal data when some of the fixed effect parameters are under a linear ...
Liu, Yang Liu, Yukun Fan, Yan Geng, Han
Published in
Metrika
Binomial detectability models are often used to estimate the size or abundance of a finite population in biology, epidemiology, demography and reliability. Special cases include incompletely observed multinomial models, capture–recapture models, and distance sampling models. The most commonly-used confidence interval for the abundance is the Wald-t...
Han, Miao Sun, Liuquan Liu, Yutao Zhu, Jun
Published in
Metrika
Recurrent event data are often collected in longitudinal follow-up studies. In this article, we propose a semiparametric method to model the recurrent and terminal events jointly. We present an additive–multiplicative hazards model for the terminal event and a proportional intensity model for the recurrent events, and a shared frailty is used to mo...
Navarro, Jorge
Published in
Metrika
The study of stochastic comparisons of coherent systems with different structures is a relevant topic in reliability theory. Several results have been obtained for specific distributions. The present paper is focused on distribution-free comparisons, that is, orderings which do not depend on the component distributions. Different assumptions for th...
Li, Chen Li, Xiaohu
Published in
Metrika
This paper investigates sufficient conditions for preservation property of the increasing convex order and the increasing concave order under the taking of maximum and minimum of statistically dependent random variables, respectively. As applications, we develop the preservation of NBUC and NBU(2) aging properties respectively under the parallel an...
Ghosh, Indranil
Published in
Metrika
It is well known that joint bivariate densities cannot always be characterized by the corresponding two conditional densities. Hence, additional requirements have to be imposed. In the form of a conjecture, Arnold et al. (J Multivar Anal 99:1383–1392, 2008) suggested using any one of the two conditional densities and replacing the other one by the ...
Jia, Weijia Song, Weixing
Published in
Metrika
This paper proposes a goodness-of-fit test for checking the adequacy of parametric forms of the regression error density functions in linear errors-in-variables regression models. Instead of assuming the distribution of the measurement error to be known, we assume that replications of the surrogates of the latent variables are available. The test s...
Beh, Eric J. Lombardo, Rosaria
Published in
Metrika
For an analysis of the association between two categorical variables that are cross-classified to form a contingency table, graphical procedures have been central to this analysis. In particular, correspondence analysis has grown to be a popular method for obtaining such a summary and there is a great variety of different approaches that one may co...
Li, Chen Fang, Rui Li, Xiaohu
Published in
Metrika
In the original publication of the article, the article title was incorrectly published as “Stochastic somparisons of order statistics from scaled and interdependent random variables”. However, the correct title should read “Stochastic comparisons of order statistics from scaled and interdependent random variables”.