RECURRENCE RELATIONS FOR SINGLE AND PRODUCT MOMENTS OF GENERALIZED ORDER STATISTICS FROM PARETO,GENERALIZED PARETO,AND BURR DISTRIBUTIONS

We give recurrence relations for single and product moments of generalized order statistics under the concept of Kamps from Pareto, generalized Pareto and Burr distributions. The results include as particular cases the above relations for moments of k–th record values.     

On Two Forms of Fisher's Measure of Information

ABSTRACT

Fisher's information number is the second moment of the “score function” where the derivative is with respect to x rather than Θ. It is Fisher's information for a location parameter, and also called shift-invariant Fisher information. In recent years, Fisher's information number has been frequently used in several places regardless of parameters of the distribution or of their nature. Is this number a nominal, standard, and typical measure of information? The Fisher information number is examined in light of the properties of classical statistical information theory. It has some properties analogous to those of Fisher's measure, but, in general, it does not have good properties if used as a measure of information when Θ is not a location parameter. Even in the case of location parameter, the regularity conditions must be satisfied. It does not possess the two fundamental properties of the mother information, namely the monotonicity and invariance under sufficient transformations. Thus the Fisher information number should not be used as a measure of information (except when Θ a location parameter). On the other hand, Fisher's information number, as a characteristic of a distribution f(x), has other interesting properties. As a byproduct of its superadditivity property a new coefficient of association is introduced.     

A Comparison of Two Random Number Generators for the Birnbaum–Saunders Distribution

Abstract

The Birnbaum–Saunders distribution was developed to describe fatigue failure lifetimes, however, the distribution has been shown to be applicable for a variety of situations that frequently occur in the engineering sciences. In general, the distribution can be used for situations that involve stochastic wear–out failure. The distribution does not have an exponential family structure, and it is often necessary to use simulation methods to study the properties of statistical inference procedures for this distribution. Two random number generators for the Birnbaum–Saunders distribution have appeared in the literature. The purpose of this article is to present and compare these two random number generators to determine which is more efficient. It is shown that one of these generators is a special case of the other and is simpler and more efficient to use.     

Dis-integrated policy: welfare-to-work participants' experiences of integrating paid work and unpaid family work

Using a critical feminist theoretical lens, we followed 17 families for one year – as they attempted to make the transition from welfare to work – eliciting narrative accounts of their day-to-day lives. We used an institutional–ethnographic methodology to analyse the data. Our study shows that the juncture at which unpaid caring work and paid employment meet may be more difficult to negotiate for low-income lone-parent families than for coupled, middle-class employed families. Findings reveal that the unpaid work that happened on the edges of a paid work day, what we refer to as ‘the work outside the work’, took considerable time and energy for participants, making it difficult for them to procure and/or sustain employment. This was due to a number of factors including their limited access to economic and non-economic resources, and the complex nature of their lives, including struggles with day-to-day functioning and childcare arrangements. These challenges, combined with the realities of the low-income labour market made it difficult, if not impossible, for most participants to effectively integrate work and family. These findings suggest that the dis-integrated nature of welfare-to-work policies, which overlooks the actualities of low-income parents’ lives, limits families’ ability to become self-sufficient.     

ON THE ESTIMATION OF SURVIVAL FUNCTION UNDER RANDOM CENSORSHIP

ABSTRACT

The paper deals with an improvement of the well-known Kaplan–Meier estimator of survival function when the censoring mechanism is random and independent of the failure times. Small sample size properties of the new estimator, as well as the original Kaplan–Meier estimator are inspected by means of Monte Carlo simulations. It follows from the simulations that the proposed estimator prevails with respect to some basic statistical characteristics.     

Population moments and moments of the sample mean

This paper presents new formulae which simultaneously express and estimate moments of the sample mean and estimate population moments, from a simple random sample drawn without replcement from a finite population. By avoiding the generality of the multivariate case, these two problems are not only unified but are made significantly more tractable. Explicit solution are given up to eighth moments. Asymptotic results for infinite populations are also given.     

Population and Poverty in Classical Theory: Testing a Structural Model for India

There has for many years been debate over the relationships between population growth rates and poverty. India is a country which provides a good testing ground for hypotheses about this relationship because since Independence a relatively high proportion of the population have lived in poverty; and there also exist reasonable data. This paper develops a simple structural model to investigate the relationship between population growth and poverty in particular, testing a series of hypotheses developed from the work of Marx and Malthus. The data are analysed at state level, and attention is drawn to the problems that this might cause as behaviour is typically determined at the individual household level. The results show that agricultural productivity and the process of landlessness are better predictors of poverty at a state level than the population growth rate. It is argued that the results fit better with the views of Marx than those of Malthus.     

Goodness-of-fit-based outlier detection for Phase I monitoring

ABSTRACT

Nonparametric charts are useful in statistical process control when there is a lack of or limited knowledge about the underlying process distribution. Most existing approaches in the literature of Phase I monitoring assume that outliers have the same distributions as the in-control sample but only differ in location or scale parameters, they may not be effective with distributional changes. This article develops a new procedure based on the integration of the classical Anderson–Darling goodness-of-fit test and the stepwise isolation method. Our proposed procedure is efficient in detecting potential shifts in location, scale, or shape, and thus it offers robust protection against variation in various underlying distributions. The finite sample performance of our method is evaluated through simulations and is compared with that of available outlier detection methods for Phase I monitoring.     

A New Class of Cyclists: Banham’s Bicycle and the Two-wheeled World it didn’t Create

Abstract

While not uncommon for innovator and innovation to merge into a single identity, it is more unusual for this to occur between object and critic. But it did happen in the 1960’s with a novel small-wheeled bicycle, the Moulton, and the British architecture and design critic Reyner Banham. Banham believed the Moulton would give rise to a new generation of middle-class urban radical cyclists who would eventually come to rely on bicycles for their transport needs. While this did not happen, the Moulton’s attention-getting technology did lead to a revived market in for bicycles among young, newly affluent consumers who bought small-wheeled utility bicycles as fashion statements and status symbols.     

Encountering Simone de Beauvoir

No abstract available for this article.