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].     

A preliminary study on quantitative relations among growth, reproduction and mortality in fishes

Summary As a quantitative approach to the life histories of fishes, the present paper attempted to predict a relation among reproduction, growth and mortality numerically with a technique of control theory, the discrete maximum principle. A method for predicting the relation was derived on the postulate that natural selection maximized the net reproductive rate subject to a few constraints. The derived method was applied to Atlantic cod and Atlantic herring populations in the Southern Gulf of St. Lawrence as numerical examples. The examples demonstrated that the theoretical reproductive effort and body weight were well consistent with the observed ones every age but the theoretical survival rates were slightly different from the observed ones. For the reasons mentioned below, however, it should be interpreted that the examples rather support the adopted postulate to a certain degree. First, in general, it is very difficult to obtain good estimates of the rates with traditional methods. Second, intense fishing pressure possibly changes the life history parameters to some extent in fish populations. Moreover, the examples also suggested that, to examine the postulate in further detail, similar analyses had to be made with the data of many fish populations on which intense fishing pressure had not been exerted.     

Variability in food consumption rate of natural populations in the spider,Nephila clavata

Summary Mean daily food consumption and total lifetime food consumption of the spider,Nephila clavata, were estimated in natural populations. Daily food consumption in the late adult stage was 27–150 mg wet weight, which was nearly equivalent or slightly larger than that in other large web-building spiders. Considerable variation in food consumption was found among habitats or years. The largest variation among habitats in the same year was 7 and 5 fold for daily and lifetime consumption, respectively, while that among years in the same habitat was 3.5 and 2.5 for daily and lifetime consumption, respectively. Feeding conditions evaluated from the food consumption per body weight of spiders declined during the period from mid-July to mid-September in almost all the populations, which suggested that they faced to severe food limitation in this period.     

THE EMERGENCE OF TRENDSETTERS FOR FASHIONS AND FADS:

Analyses of fads and fashions often note the importance of trendsetters whose early adoption of novelties provides an example for others to follow. However, trendsetting is usually taken for granted; there is no effort to explain why some groups assume fashion leadership. This article seeks to account for the rise of kogaru (stylish high-school girls) as trendsetters in 1990s Japan. We argue that trendsetting requires resources—particularly leisure time to devote to fashion, disposable income, and communication networks. Kogaru became trendsetters because they gained these resources at a time when the female college students who preceded them had less time for trendsetting, and when economic recession made inexpensive items of the sort kogaru could afford more desirable fashion objects. At the same time, new electronic technologies sped the flow of information among kogaru, while media coverage of this new social type gave kogaru visibility in the larger society.     

Walking on the Edge: Towards a Sociography of Discrimination against the Buraku: Lectures on Discrimination in Letter Format

This article demonstrates a new methodological approach to recognize, analyze and write about discrimination against the buraku, which is one form of social discrimination in contemporary Japan. The structural discrimination proposed in this study is based on the concept of relational discrimination, which is derived from fundamental criticisms of the conventional concepts of material and psychological discrimination. Relational discrimination occurs when we are placed in a certain type of relationship and may become accomplices to discrimination or cause it, regardless of whether or not there is any individual prejudice or discriminatory consciousness at work. From this perspective, this article tries to fundamentally re-examine the binary thinking assumed in conventional sociology that there are minorities (those who are discriminated against) and majorities (those who discriminate against the minority). I focus on the complex ways of being human, and in particular on the transformations that accompany changes in particular relations such as from a person who does not discriminate to one who discriminates against others; from a person who is discriminated against to one who discriminates against others and from a person who is not discriminated against to one who is discriminated against. By focusing on the meaning of the deep suffering of a man who made discriminatory remarks to people living in a buraku community, and of a woman who married into a family living in a buraku community, I try to understand life ethics for people who discriminate and who at the same time are discriminated against.     

Historical Experience and the Haitian Revolution in the History Classroom

The article examines a mainstream curricular unit on the Haitian Revolution, centered on a culminating role-play activity. Cultural studies, subaltern studies, and hermeneutics are applied as theoretical frameworks to read the curriculum unit and its activities. These theoretical lenses sharpen an understanding of what it means to experience history in the classroom. These lenses are used to consider the political relations of power within the historical moment being studied and the political notions of power within the production of historical knowledge itself. The author conducts an analysis of the epistemological and hermeneutic problem spaces within this curriculum, with particular attention to how this curriculum unit might be translated into an urban school setting that accounts for marginalized student positions.     

How small can the difference among competitors be for coexistence to occur

Closely related competitors comprising ofEscherichia coli strains having the same metabolic system and differing only with a few bases on the glutamine synthetase gene in the plasmid pKGN were previously shown to coexist in a chemostat. The differences among these closely related competitors can be considered large enough to allow coexistence as the level of enzyme activity is different. To bring the difference among competitors to the slightest possible, the mutation was introduced on the noncoding region of the plasmid pKGN harbored in the wild-type strain (strain W). The new strain, strain W’, carries the plasmid pKGN’ with a 4-base insertion at theHind III site in the polycloning site of pKGN. As the noncoding region is a nucleotide segment that is not translated into amino acids, the relatedness between strains W and W’ is the closest possible from the genetic point of view. Interestingly, though both strains are almost identical, they can coexist stably in a chemostat irrespective of the initial population size. These experimental results suggest that in the natural ecosystem, no matter how akin competitors are, coexistence is not impossible.     

Food limitation of population density in the orb-wed spider,Nephila clavata

Summary Field studies were conducted to clarify whether variation in food availability among habitats influences population density, and whether population density has a negative effect on foraging success in the orb-web spider,Nephila clavata. Lifetime food consumption per individual (i.e., foraging success) strongly correlated with mean body size of adult females and mean fecundity in populations. Also, there was a positive correlation between foraging success and population density. Since foraging success reflected potential prey availability in the habitat, food resource appeared to be a limiting factor for populations in this spider. Mean fecundity per individual correlated with population density of the following year, suggesting that decreased reproduction is a major component of food limitation on population density. Consistent defferences in mean body size between particular sites were observed over years, while such difference was less obvious in density. Thus, ranking of food abundance among habitats seems to be predictable between years. A field experiment revealed that an artificial increase in population density had no negative effect on the feeding rate of individuals, suggesting that intraspecific competition for food is not important in this species.     

Rethinking Gentrification and the Right to the City: The Process and Effect of the Urban Social Movement against Redevelopment in Tokyo

This article focuses on the anti‐redevelopment movement in Shimokitazawa, an area adjacent to the central Tokyo metropolitan area, to analyze resistance to the gentrification‐like phenomenons in Japan. In recent years there has been an increase in the number of international comparative studies on gentrification, and an inductive analysis based on an understanding of the various contexts of each city is needed. This article takes on this task, referring to the key concept of the right to the city, which has been used as a framework for understanding anti‐gentrification movements. In doing so, I aim to reveal the bias in existing gentrification research. In Shimokitazawa the rights to enjoy the culture of the city and the rights to speak out about the state of the city were newly recognized. The evolving debate on this area shows that these rights should be widely shared not only by landowners and residents but also by visitors. However, these rights are not adequately captured by existing conceptions of the right to the city. Shimokitazawa's anti‐gentrification movement provides an opportunity to participate in an autonomous movement. Notably, the opposition movement has been using its newly acquired voice to create alternative public spaces. The emerging trend of urban social movements that recognize and bring to light the potential value of urban space offers insights for guidelines for the future development of urban society.     

Corrigendum to “Games With Imperfectly Observable Actions in Continuous Time”

Sannikov (2007) investigated properties of perfect public equilibria in continuous‐time repeated games. This note points out that the proof of Lemma 6, required for the proof of the main theorem (Theorem 2), contains an error in computing a Hessian matrix. A correct proof of Lemma 6 is provided using an additional innocuous assumption and a generalized version of Lemma 5.