On the asymptotic normality of the R-estimators of the slope parameters of simple linear regression models with associated errors

ABSTRACT

The purpose of this paper is to prove, under mild conditions, the asymptotic normality of the rank estimator of the slope parameter of a simple linear regression model with stationary associated errors. This result follows from a uniform linearity property for linear rank statistics that we establish under general conditions on the dependence of the errors. We prove also a tightness criterion for weighted empirical process constructed from associated triangular arrays. This criterion is needed for the proofs which are based on that of Koul [Behavior of robust estimators in the regression model with dependent errors. Ann Stat. 1977;5(4):681–699] and of Louhichi [Louhichi S. Weak convergence for empirical processes of associated sequences. Ann Inst Henri Poincaré Probabilités Statist. 2000;36(5):547–567].     

Evidence-based practice: a critical reflection

This article employs the process of critical reflection to uncover and challenge the hegemonic assumptions of evidence-based practice (EBP). The critical reflection process results in a re-conceptualisation of best practices that, while still honouring empirical research, is less hierarchical and more inclusive of a broad spectrum of interests than traditional EBP. Multidimensional Evidence-Based Practice (MEBP) validates consumer wisdom, professional experience, and qualitative research as equal partners to quantitative research in determining current state-of-the art best practices. Furthermore, MEBP incorporates a value-critical analysis of those best practices that can lead to improvements and innovations, so that ‘best practices’ becomes a dynamic rather than a static construct.     

Modification of Tukey's additivity test

In this paper we discuss testing for an interaction in the two-way ANOVA with just one observation per cell. The known results are reviewed and a simulation study is performed to evaluate type I and type II risks of the tests. It is shown that the Tukey and Mandel additivity tests have very low power in case of more general interaction scheme. A modification of Tukey's test is developed to resolve this issue. All tests mentioned in the paper have been implemented in R package Additivity Tests.     

Family-directed structural therapy

Family-Directed Structural Therapy (FDST) is an approach to family therapy built on traditional concepts of Structural Family Therapy, the Strengths Model, and Group Work Theory. The FDST approach is a goal-oriented, time limited approach that enables the family to identify strengths and areas of concern, as well as to enhance family functioning. This process is facilitated via the use of a common vocabulary and a concretely organized, easily administered FDST Assessment Tool that is completed by adult family members. This article presents the essential features of the FDST approach, including the use and scoring of the FDST Assessment Tool. It concludes with an extensive case example.     

Radon as a Tracer of Lung Changes Induced by Smoking

After smoking, exposure to radon and its progeny is the second leading cause of lung cancer. The probability of inducing lung carcinomas by inhaled radon progeny depends on the deposited radiation dose, and is significantly affected by physiological and morphometric changes induced by smoking. Due to irritation of the airways, the inhalation of cigarette smoke leads to the hyperproduction of mucus. Two concurrent processes occur: on one hand, increased production of mucus protects the target cells against radiation damage; on the other hand, in the case of long-term smokers, a chronic lung obstruction develops, causing an increase in the radiation dose to the lungs. Depending on the duration and intensity of smoking, these processes contribute to the final radiation dose with different weights. The primary objective of this study was to investigate to what extent these smoke-induced changes can modify the resulting absorbed dose of inhaled radon progeny relative to healthy nonsmokers. Since the bronchial dose depends on the degree of lung tissue damage, we have used this dose as a tool for detecting the effects of smoking on the lung epithelium. In other words, the biological effect of radon served as a tracer of changes induced by smoking.     

Impact of CO<Subscript>2</Subscript> Emissions Reductions on Firms’ Finance in an Emerging Economy: The Case of the Czech Republic

This paper investigates the relationship between economic and environmental performance with focus on firms in an emerging economy, the Czech Republic, and their CO₂ emission reductions. We discuss whether the hypotheses tested for local pollutants that firms emit and firms’ finances are relevant for CO₂ emissions. We test the hypotheses on a sample of Czech firms included in the first phase of European Union Emissions Trading Scheme (EU ETS). We observe that introduction of EU ETS did not encourage significant investments in CO₂ emissions reduction. Importantly, the results show that the firms that did invest in CO₂ reductions experienced a negative impact on their finance. We argue that this is explained by the drop in the price of allowances on the carbon market in 2006 which resulted in firms receiving less revenue from saved allowances than they had expected.     

Broadcasting multiple messages in the 1-in port model in optimal time

In the 1-in port model, every vertex of a synchronous network can receive at most one message in each time unit. We consider simultaneous broadcasting of multiple messages from the same source or from distinct sources in such networks with an additional restriction that every received message can be sent out to neighbors only in the next time unit and never to already informed vertex. We use a general concept of level-disjoint partitions developed for this scenario. Here we introduce a subgraph extension technique for efficient spreading information within this concept. Surprisingly, this approach with so called biwheels leads to simultaneous broadcasting of optimal number of messages on a wide class of graphs in optimal time. In particular, we provide tight results for bipartite tori, meshes, hypercubes, Knödel graphs, circulant graphs. We also propose several open problems and conjectures.