Some joint distributions for conditional random walks

Joint distributions concerning maxima, minima, and their indices are determined for certain conditional random walks called Bernoulli excursion and Bernoulli meander. The distribution of the local time of these processes is treated by generating function technique. Limiting distributions are also given, providing some partial results for Brownian excursion and meander.     

Relations between Status and Power Structures: Toward a General Theory*

Contemporary work on the development of status and power structures is reviewed. It is shown that theorists have conceptualized the relationship between these structures in opposite ways. Some have held that the structures tend toward alignment. Specifically, they have held that persons tend to be equally high or low in both structures. Others have held that the structures tend toward non-alignment. Specifically, they have held that the range of persons statuses tends to be greater than the range of their power. An attempt is made to reconcile the different theories underlying these two conceptions by postulating that one conception is correct under certain conditions and that the other is correct under other conditions. The conditions specified involve an important but somewhat neglected aspect of the overall stratification structure, what is called the secondary stratification structure, and the importance persons assign to this structure.     

The dimensions of poverty

The nature of ‘poverty’ is examined in relation to a model of causes affecting the welfare of a community. It is suggested that one can operationally distinguish four major dimensions of poverty, namely economic, social, political and legal poverty; and that one might in addition be able to characterise three further aspects, namely psychological, ideological and conceptual poverty. It is proposed that at least the first four aspects should be distinguished and explicitly named, thereby specifically characterising these different dimensions of ‘poverty’; and that this would serve a useful purpose in clarifying the nature of the problems faced by the community considered.     

Gambling in young adolescents

A questionnaire was used to investigate gambling in British adolescents. Responses from fifty 13- to 14-year-olds were analyzed. Gambling was found to be very pervasive (90% of subjects reported at least some gambling activity). Males gambled more than females, both in absolute terms and as a proportion of income. Income was found to have some influence on gambling behavior, but the effects of intelligence and social class were nonsignificant. Slot machines were the commonest form of gambling in both sexes.The willing cooperation of the teacher and students concerned is gratefully acknowledged. This paper is based on a report submitted by the first author in partial fulfillment of the requirements for the BSc degree at the University of Exeter. Some of the data were presented to the conference of the British Psychological Society Developmental Section, held in Exeter in September 1986, and to the colloquium of the International Association for Research in Economic Psychology, held at Aarhus, Denmark, in September 1987.     

Effects of alcohol on the nonverbal communication of anxiety: The impact of beliefs on nonverbal behavior

Three male and three female raters were shown videotapes of 29 male subjects who were speaking to a silent female confederate. Raters were asked to make 10 judgments about the subjects' behavior. The subjects had been assigned to one of two expectancy conditions in which they were led to believe the drink they consumed prior to meeting the confederate contained alcohol and tonic or tonic only. Actually, half of the subjects in each expectancy condition received alcohol and half received tonic only. Judgments of the female raters viewing the videotapes were congruent with physiological measures of the subjects' anxiety. Those subjects who believed they received alcohol were perceived by female raters as more relaxed, less anxious, less inhibited, and more dominant than subjects who believed they received tonic. The actual content of the drink had no significant effects on the raters' judgements of the subjects' behavior. Male raters were unable to discriminate among the experimental conditions. Implications for possible gender of rater effects in behavioral assessment procedures as well as for the impact of beliefs on nonverbal communication are discussed.     

Sex selection with biased technologies and its effect on the population sex ratio

Current biomedical research on sex selection techniques may soon offer couples the opportunity to choose the sex of their children with greater certainty. A technique planned for marketing by mid-1978 can increase the probability of bearing a son to as much as 0.90. However, couples who wish to improve their chances of bearing a daughter have no such opportunity. The purpose of this paper is two-fold. First, a decision-making model is provided which describes how couples should choose among alternative sex-selection methods so as to maximize the probability of bearing their desired number of sons and daughters. Second, the effect of the widespread use of sex-selection techniques on the population sex ratio is explored. It is shown that even if populations have unbiased sex preferences, or sex preferences biased towards daughters, the use of biased sex-selection technologies may result in very high population sex ratios.     

On additive and multiplicative damage models and the characterizations of linear and logarithmic exponential families

Rao (1963) has formulated a damage model which we call an additive damage model. A suitable damage model, which we call a multiplicative damage model, has been considered by Krishnaji (1970) for income-related problems. In these models, an original observation is subjected to damage, e.g., death or under-reporting, according to a specified probability law. Within the framework of an additive damage model, with a special form of damage, characterizations of the linear and logarithmic exponential families are formulated using regression properties of the damaged part on the undamaged part. The characterizations of the gamma and Pareto distributions that have been found of some use in the theory of income distributions, are obtained as special cases. Similar results are investigated within the framework of the multiplicative damage model.     

The non-null distribution for the problem of tests of independence

The problem of testing independence in the multinormal case is considered in this paper. The non-null distribution of the likelihood ratio criterion is obtained for the case of two subvectors by using a simple straightforward technique. The null case as well as the known cases are also verified.