Conditional time-dependent nonparametric estimators with an application to healthcare production function

ABSTRACT

By using the probabilistic framework of production efficiency, the paper develops time-dependent conditional efficiency estimators performing a non-parametric frontier analysis. Specifically, by applying both full and quantile (robust) time-dependent conditional estimators, it models the dynamic effect of health expenditure on countries’ technological change and technological catch-up levels. The results from the application reveal that the effect of per capita health expenditure on countries’ technological change and technological catch-up is nonlinear and is subject to countries’ specific income levels.     

Estimation of the smallest scale parameter of two-parameter exponential distributions

Improved point and interval estimation of the smallest scale parameter of n independent populations following two-parameter exponential distributions are studied. The model is formulated in such a way that allows for treating the estimation of the smallest scale parameter as a problem of estimating an unrestricted scale parameter in the presence of a nuisance parameter. The classes of improved point and interval estimators are enriched with Stein-type, Brewster and Zidek-type, Maruyama-type and Strawderman-type improved estimators under both quadratic and entropy losses, whereas using as a criterion the coverage probability, with Stein-type, Brewster and Zidek-type, and Maruyama-type improved intervals. The sampling framework considered incorporates important life-testing schemes such as i.i.d. sampling, type-II censoring, progressive type-II censoring, adaptive progressive type-II censoring, and record values.     

Strawderman-type estimators for a scale parameter with application to the exponential distribution

It is shown that Strawderman's [1974. Minimax estimation of powers of the variance of a normal population under squared error loss. Ann. Statist. 2, 190–198] technique for estimating the variance of a normal distribution can be extended to estimating a general scale parameter in the presence of a nuisance parameter. Employing standard monotone likelihood ratio-type conditions, a new class of improved estimators for this scale parameter is derived under quadratic loss. By imposing an additional condition, a broader class of improved estimators is obtained. The dominating procedures are in form analogous to those in Strawderman [1974. Minimax estimation of powers of the variance of a normal population under squared error loss. Ann. Statist. 2, 190–198]. Application of the general results to the exponential distribution yields new sufficient conditions, other than those of Brewster and Zidek [1974. Improving on equivariant estimators. Ann. Statist. 2, 21–38] and Kubokawa [1994. A unified approach to improving equivariant estimators. Ann. Statist. 22, 290–299], for improving the best affine equivariant estimator of the scale parameter. A class of estimators satisfying the new conditions is constructed. The results shed new light on Strawderman's [1974. Minimax estimation of powers of the variance of a normal population under squared error loss. Ann. Statist. 2, 190–198] technique.     

Improved estimation of the smallest scale parameter of gamma distributions

In this work improved point and interval estimation of the smallest scale parameter of independent gamma distributions with known shape parameters are studied in an integrated fashion. The approach followed is based on formulating the model in such a way that enables us to treat the estimation of the smallest scale parameter as a problem of estimating an unrestricted scale parameter in the presence of a nuisance parameter. The class of improved point and interval estimators is enriched. Within this class, a subclass of generalized Bayes estimators of a simple form is identified.     

Urging inclusion for interculturalism: fostering excellence in a Cypriot primary school

The development and implementation of inclusive practices can potentially enhance intercultural education. Through the case study of a primary school in Cyprus, we investigated the practices that were developed and applied by the school itself, which aimed to reduce the marginalisation of students who came from abroad. The practices relate to the promotion and growth of friendly relations between local and immigrant students, the inclusion of all students in their self-governing bodies, the differentiation of teaching according to the needs of each student, the participation of the family and community in school decision-making and the development of school collaborative cultures.     

Historicizing (bi)sexuality: a rejoinder for gay/lesbian studies, feminism, and queer theory

One of the principal aims of queer theory has been to challenge heteronormative constructions of sexuality and to work the hetero/homosexual structure to the point of critical collapse. Despite an epistemic location within this very structure, however, the category of bisexuality has been largely marginalized and even erased from the deconstructive field of queer theory. This article explores some of the factors behind this treatment of bisexuality and suggests that bisexuality's marginalization and erasure brings into relief the strained relationship between the fields of gay/lesbian history, feminism, and queer theory. In exploring some early influential queer deconstructionist texts, it argues that in overlooking the role the category of bisexuality has played in the formation of the hetero/homosexual structure, the project of queer deconstruction has in important ways fallen short of its goals. The author concludes with a call to rethink conventional deconstructive reading practices.     

Improved estimation of the scale parameter, the hazard rate parameter and the ratio of the scale parameters in exponential distributions: An integrated approach

We give new classes of Strawderman-type improved estimators for the scale parameter σ₂ and the hazard rate parameter 1/σ₁ of the exponential distributions E(μ₂,σ₂) and E(μ₁,σ₁) under the entropy loss. We then use these estimators to construct improved estimators for the ratio ρ=σ₂/σ₁. The sampling framework we consider integrates important life-testing schemes separately studied in the literature so far, namely, (i) i.i.d. sampling, (ii) Type-II censoring, (iii) progressive Type-II censoring and adaptive progressive Type-II censoring and (iv) record values data. Furthermore, we establish simple identities connecting the risk functions of the estimators of σ₂ and 1/σ₁ and those of ρ that have a direct impact on studying the risk behavior of the latter estimators. Finally, we indicate that no matter which of the above life-testing schemes is employed for the estimation of σ₂, 1/σ₁ or ρ, the corresponding improved estimator, which may be of Stein-type or Brewster and Zidek-type or Strawderman-type, will offer the same improvement over the usual estimator as long as the number of observed complete failure times is the same for each scheme. Our results unify and extend existing results on the estimation of exponential scale parameters in one or two populations.     

Multicultural education in Cyprus: A pot of multicultural assimilation?

In this paper, we attempt to answer the question: "is the Cypriot educational system a melting pot of every alien civilization and a kettle of cultural assimilation that perpetuates biases, clichés, racist behaviours and cultivates the idea that the different have no place among us?" We closely examine the case of a girl from Iran in a Cypriot primary school, using naturalistic observation models of research. Through the analysis of two vignettes, we attempt to answer the question posed above. We simultaneously reflect critically on the situation of multicultural education in Cyprus, while presenting its prospects for the future.     

Forging a Multicultural Education Ethos in Cyprus: Reflections on policy and practice

Contemporary Cypriotic society is no longer homogeneous. Increasingly, Cypriots are coming into contact with people from different cultures. We also see this in Cypriotic schools. In this paper, we investigate educational reality as it effects foreign and repatriated pupils in Cyprus. We do this by means of an ethnographic study in which we focus on one particular primary school classroom. It is hoped that this research will serve as a stimulus for possible changes and reforms in the Cypriotic educational system. In this manner, the Cypriot system will be able to keep pace with international developments in this area of education.     

On the estimation of a normal precision and a normal variance ratio

The problem of estimating the ratio of the variances of two independent normal populations is considered under both quadratic and entropy losses, when the means are unknown. New classes of improved estimators are obtained with the following properties. They are smooth, improve on the risk of the best affine equivariant estimator at every parameter point, have very simple form and are based on all the available data. In the case of entropy loss, the estimators of one of these classes are, additionally, generalized Bayes. Our approach for constructing these improved estimators is based on Strawderman’s (1974) [18] technique. As a preliminary result of independent interest, new classes of dominating generalized Bayes procedures for a normal precision are also given.