The discrepancy of P-values and posterior probability: Two-sided hypothesis of variance of normal distribution with unknown mean

This article is concerned with the comparison of P-value and Bayesian measure in point null hypothesis for the variance of Normal distribution with unknown mean. First, using fixed prior for test parameter, the posterior probability is obtained and compared with the P-value when an appropriate prior is used for the mean parameter. In the second, lower bounds of the posterior probability of H₀ under a reasonable class of prior are compared with the P-value. It has been shown that even in the presence of nuisance parameters, these two approaches can lead to different results in the statistical inference.     

Joint modelling of longitudinal biomarker and gap time between recurrent events: copula-based dependence

In this paper, we will extend the joint model of longitudinal biomarker and recurrent event via copula function for accounting the dependence between the two processes. The general idea of joining separate processes by allowing model-specific random effect may come from different families distribution. It is a main advantage of the proposed method that a copula construction does not constrain the choice of marginal distributions of random effects. A maximum likelihood estimation with importance sampling technique as a simple and easy understanding method is employed to model inference. To evaluate and verify the validation of the proposed joint model, a bootstrapping method as a model-based resampling is developed. Our proposed joint model is also applied to pemphigus disease data for assessing the effect of biomarker trajectory on risk of recurrence.     

Religiosity,Citizenship and Belonging: The Everyday Experiences of Young Australian Muslims

Abstract

Since 11 September 2001 Muslim Diasporas have emerged as objects of anxiety in Western societies. Underlying this (in)security-driven problematisation is the question of whether Muslims living in the West have the capacity to become fully active citizens while maintaining their religious beliefs, rituals and practices. This apprehension has prompted reactionary government programmes, particularly targeting young Muslims. Such responses fail to recognise the societal capacities that practising Muslims possess, including those informed by the ethical precepts of Islamic faith. This paper argues that it is timely to explore expressions of Islamic religiosity as they are grounded in everyday multicultural environments. The paper draws on survey data and interviews conducted with Muslims living in Melbourne, Australia. We take into consideration key variables of age and generation to highlight how young, practising Muslims enact citizenship through Islamic rituals and faith-based practices and traditions. The paper will draw from key findings to argue that these performances provide a foundation for exploring ways of ‘living’ together in a manner that privileges ethics central to Islamic faith traditions.     

Simultaneous arrival of customers to two different queues and modeling dependence via copula approach

ABSTRACT

In classical queueing systems, a customer is allowed to wait only in one queue to receive the service. In practice, when there exist a number of queues rendering the same service, some customers may tend to simultaneously take turn in more than one queue with the aim to receive the service sooner and thus reduce their waiting time. In this article, we introduce such a model and put forward a methodology to deal with the situation. In this regard, we consider two queues and assume that if a customer, who has turn in both queues, receives the service from one of the queues, the other turn is automatically withdrawn. This circumstance for the model brings about some abandonment in each queue as some customers receive the service from the other one. We study the customer’s waiting time in the mentioned model, which is defined as the minimum of waiting times in both queues and obtain probability density function of this random variable. Our approach to obtain probability density function of each of the waiting time random variables is to rely on the existing results for the abandonment case. We examine the situation for the cases of independence and dependence of the waiting time random variables. The latter is treated via a copula approach.     

On the Mixture Proportional Mean Residual Life Model

In this article, we propose a new mixture model induced by the model of proportional mean residual life. Under some appropriate assumptions, it is shown that the mixing and overall variables in the model admit the positive likelihood ratio dependence structure. To see how the overall variable is affected by the stochastic variation of the mixing variable, we study some stochastic comparisons using these variables. Finally, some useful bounds for tail probability of the overall variable for large values of the mixing variable are derived.     

Wavelet analysis of uniformly time-modulated processes

Uniformly time-modulated processes (UTMP) offer a simple, though convenient model for many non stationary time series. However, in many applications, dependency is considered as a disturbing factor. For the UTMP using Weierstrass representation of modulating function, we demonstrated that the correlation between coefficients in wavelet domain is a decreasing function of number of wavelet vanishing moments and tends to zero in progressive rate as we move from finer scales to coarser scales.     

Race lines and spaces of political action among migrant youth

Recently proposed Anti-Racism Strategy established within a framework of the Australian Government's multicultural policy, People of Australia, identifies ‘youth engagement’ as one of the key areas that needs to be promoted and supported. Young people have been invited to join youth councils and youth forums and work with national, state and local policy-makers. Some have taken up this challenge and became public faces and active members of anti-racism campaigns. Others, however, either remained silent about the discrimination they face, or organised their own grassroots youth-based and youth-led initiatives. This paper discusses individual and collective responses to racism among young people in Australia, focusing on Melbourne, and examines possibilities in which racism, as a common experience among migrant youth, can be utilised to form alternative spaces for political action, challenging not only interpersonal, but also systemic forms of racism. By drawing attention towards institutional and systemic forms of racism, and the historical perpetuation of racist practices, these youth initiatives rely on legal measures, and argue that racism should be discussed in the context of the broader Australian society, not only in relation to minority groups.     

Structural Deficiency or Cultural Racism: The Educational and Social Experiences of Arab‐Australian Youth

This paper discusses the cultural, attitudinal and structural factors that impact upon the social experiences and educational achievements of Arabic‐speaking background (ASB) students in three Melbourne secondary schools with high levels of cultural and linguistic diversity. The paper makes the case for and then outlines a multidimensional approach to multicultural education to better integrate ASB students and their families into the schooling environment. Key strategies developed and tested include a model of school‐community partnership, online and interactive teacher support material (TSM) as well as on‐going teacher professional development workshops on reflexive approaches to cultural diversity and intercultural tension.     

Asymptotic properties of the kernel mode estimator under twice censorship model

In this article, we study the asymptotic properties of the kernel estimator of the mode and density function when the data are twice censored. More specifically, we first establish a strong uniform consistency over a compact set with a rate of the kernel density estimator and then we give the consistency with rate and asymptotic normality for the kernel mode estimator. An application to confidence bands is given.     

Linear rank tests for homogeneity against ordered alternatives in anova and anocova

A unified method of constructing rank tests for homogeneity against ordered alternatives in unbalanced analysis of variance and analysis of covariance is considered. The relationship between these tests with some of the existing methods are studied. The normal theory likelihood ratio tests are also derived and the asymptotic relative efficiency comparisons, in Pitman sense, of the rank tests with respect to the likelihood ratio tests are carried out.