The algebraic equality of two asymptotic tests for the hypothesis that a normal distribution has a specified correlation matrix

It is proved the algebraic equality between Jennrich's (1970) asymptotic$X^2$ test for equality of correlation matrices, and a Wald test statisticderived from Neudecker and Wesselman's (1990) expression of theasymptoticvariance matrix of the sample correlation matrix.

Compact matrix expressions for generalized Wald tests of equality of moment vectors

Asymptotic chi-squared test statistics for testing the equality ofmoment vectors are developed. The test statistics proposed aregeneralizedWald test statistics that specialize for different settings by inserting andappropriate asymptotic variance matrix of sample moments. Scaled teststatisticsare also considered for dealing with situations of non-iid sampling. Thespecializationwill be carried out for testing the equality of multinomial populations, andtheequality of variance and correlation matrices for both normal andnon-normaldata. When testing the equality of correlation matrices, a scaled versionofthe normal theory chi-squared statistic is proven to be an asymptoticallyexactchi-squared statistic in the case of elliptical data.

On the cultural transmission of corruption

We provide a cultural explanation to the phenomenon of corruption in the framework of an overlapping generations model with intergenerational transmissionof values. We show that the economy has two steady states with different levels of corruption. The driving force in the equilibrium selection process is the education effort exerted by parents which depends on the distribution of ethics in the population and on expectations about future policies. We propose some policy interventions which via parents' efforts have long-lasting effects on corruption and show the success of intensive education campaigns. Educating the young is a key element in reducing corruption successfully.

Improving Transition Outcomes: Resource Mapping Workshop: Service Matrix

Resource Mapping tool from the Improving Transition Outcomes Resource Mapping Workshops

Unfolding a symmetric matrix

Graphical displays which show inter--sample distances are importantfor the interpretation and presentation of multivariate data. Except whenthe displays are two--dimensional, however, they are often difficult tovisualize as a whole. A device, based on multidimensional unfolding, isdescribed for presenting some intrinsically high--dimensional displays infewer, usually two, dimensions. This goal is achieved by representing eachsample by a pair of points, say $R_i$ and $r_i$, so that a theoreticaldistance between the $i$-th and $j$-th samples is represented twice, onceby the distance between $R_i$ and $r_j$ and once by the distance between$R_j$ and $r_i$. Self--distances between $R_i$ and $r_i$ need not be zero.The mathematical conditions for unfolding to exhibit symmetry are established.Algorithms for finding approximate fits, not constrained to be symmetric,are discussed and some examples are given.

Turismo Cultural e Eventos - A Importância de Transformar os Eventos Culturais da Ilha de São Vicente em Produtos Turísticos

O presente trabalho visa estudar a importância de transformar os eventos culturais da ilha de São Vicente em produtos turísticos. Está mais do que provado que o turismo pode ser considerado o motor de desenvolvimento de qualquer economia, mas também que poderá levar a sérios problemas ambientais, sociais, culturais e até mesmo económicos com efeito a longo prazo, caso não for bem planeado. Dentro do turismo, o sector de eventos tem apresentado uma grande evolução, trazendo muitos benefícios e promoção para os destinos turísticos. Para além da importância que os eventos têm para os destinos turísticos, esta pesquisa também estudará o que é preciso ser feito a nível social, e em relação às infra-estruturas e serviços locais para serem transformados em produtos turísticos. Para efectuar essa transformação que poderá trazer muito mais benefícios tanto para a ilha como para a população local, será preciso que os eventos culturais da ilha sejam planeados e organizados, envolvendo todas as enti dades locais e a comunidade, de forma que possam criar soluções para desenvolver um turismo sustentável para São Vicente, e diminuir os impactos negativos no ambiente, na sociedade e na cultura. The goal of this Project is to study the importance of transforming the cultural events of São Vicente Island into touristic products. It is proved that tourism can be considered the development engine of any economy, but it can also lead to serious environmental, social, cultural end even economical problems with long term effects in case of bad planning. Within tourism, the events sector has seen a great evolution, bringing many benefits such as promotion to touristic destinations. Further to the importance that the events have to the touristic destinations, this research will also study what needs to be done concerning society and in relation to infrastructures and local services to be transformed into touristic products. To make these transformations come to life, something which can bring much more benefits to the island as well as to the local population, the cultural events of the island need to be planned and organized involving all the local entities, and the community, in the creation of solutions to develop a sustainable tourism for São Vicente and diminish the negative impacts on the environment, society and culture.

Turismo e Património Cultural em Cabo Verde: A perspectiva da oferta

Esta dissertação é um trabalho exploratório sobre o turismo e o património cultural em Cabo Verde. Cada vez mais o turismo em Cabo Verde é assumido como o pilar do crescimento do país e a indústria turística Cabo-verdiana encontra-se em franca expansão. Através de uma caracterização do fenómeno turístico em Cabo Verde, desde o seu florescimento até aos dias de hoje, pretendemos dar conta da evolução do setor e das recentes reconfigurações no panorama turístico do arquipélago que se espelham nos discursos narrativos e visuais presentes na promoção turística deste destino. Com base numa análise do discurso promocional, procuramos desvendar a forma como as ilhas são descritas enquanto destino turístico, revelando a diversidade de elementos presentes na imagem turística contemporânea de Cabo Verde. Assim, através de uma alargada pesquisa bibliográfica e documental faz-se um levantamento do património cultural do país e faz-se a discussão em torno das perguntas de partida, com vista ao desenvolvimento do nosso objeto de estudo.

Some hypothesis tests for the covariance matrix when the dimension is large compared to the sample size

This paper analyzes whether standard covariance matrix tests work whendimensionality is large, and in particular larger than sample size. Inthe latter case, the singularity of the sample covariance matrix makeslikelihood ratio tests degenerate, but other tests based on quadraticforms of sample covariance matrix eigenvalues remain well-defined. Westudy the consistency property and limiting distribution of these testsas dimensionality and sample size go to infinity together, with theirratio converging to a finite non-zero limit. We find that the existingtest for sphericity is robust against high dimensionality, but not thetest for equality of the covariance matrix to a given matrix. For thelatter test, we develop a new correction to the existing test statisticthat makes it robust against high dimensionality.

Organisational values as "attractors of chaos": An emerging cultural change to manage organisational complexity

Business organisations are excellent representations of what in physics and mathematics are designated "chaotic" systems. Because a culture of innovation will be vital for organisational survival in the 21st century, the present paper proposes that viewing organisations in terms of "complexity theory" may assist leaders in fine-tuning managerial philosophies that provide orderly management emphasizing stability within a culture of organised chaos, for it is on the "boundary of chaos" that the greatest creativity occurs. It is argued that 21st century companies, as chaotic social systems, will no longer be effectively managed by rigid objectives (MBO) nor by instructions (MBI). Their capacity for self-organisation will be derived essentially from how their members accept a shared set of values or principles for action (MBV). Complexity theory deals with systems that show complex structures in time or space, often hiding simple deterministic rules. This theory holds that once these rules are found, it is possible to make effective predictions and even to control the apparent complexity. The state of chaos that self-organises, thanks to the appearance of the "strange attractor", is the ideal basis for creativity and innovation in the company. In this self-organised state of chaos, members are not confined to narrow roles, and gradually develop their capacity for differentiation and relationships, growing continuously toward their maximum potential contribution to the efficiency of the organisation. In this way, values act as organisers or "attractors" of disorder, which in the theory of chaos are equations represented by unusually regular geometric configurations that predict the long-term behaviour of complex systems. In business organisations (as in all kinds of social systems) the starting principles end up as the final principles in the long term. An attractor is a model representation of the behavioral results of a system. The attractor is not a force of attraction or a goal-oriented presence in the system; it simply depicts where the system is headed based on its rules of motion. Thus, in a culture that cultivates or shares values of autonomy, responsibility, independence, innovation, creativity, and proaction, the risk of short-term chaos is mitigated by an overall long-term sense of direction. A more suitable approach to manage the internal and external complexities that organisations are currently confronting is to alter their dominant culture under the principles of MBV.

Turismo Cultural: as Potencialidades Turísticas do Pano de Terra de Santiago em Cabo Verde

Esta dissertação resulta de um estudo de caso sobre o pano de terra de Santiago de Cabo Verde e as suas potencialidades turísticas. Com este trabalho, pretende-se avaliar as potencialidades turísticas do pano de terra e demonstrar a sua importância no desenvolvimento económico das comunidades locais. O turismo cada vez mais utiliza o património como um recurso importante, sobretudo o segmento do turismo cultural. Porém, em Cabo Verde este segmento não tem sido muito explorado apesar do potencial incomensurável existente no arquipélago. Tendo em conta as potencialidades culturais do país, o turismo cultural apresenta-se como um segmento apropriado para responder às novas exigências e preferências dos turistas, partindo do pressuposto que o perfil dos mesmos se apresenta cada vez mais exigente e diversificado. Assim, conclui-se que o pano de terra enquanto património cultural material e imaterial oferece boas condições para ser utilizado como recurso turístico. O pano de terra constitui um novo produto, susceptível de obter um valor acrescentado, e possuindo potencialidades para ser explorado de forma a complementar outros recursos. Apresenta-se, também, como um produto de grande atractividade para os turistas, capaz de gerar emprego para as comunidades locais.

Honey, I shrunk the sample covariance matrix

The central message of this paper is that nobody should be using the samplecovariance matrix for the purpose of portfolio optimization. It containsestimation error of the kind most likely to perturb a mean-varianceoptimizer. In its place, we suggest using the matrix obtained from thesample covariance matrix through a transformation called shrinkage. Thistends to pull the most extreme coefficients towards more central values,thereby systematically reducing estimation error where it matters most.Statistically, the challenge is to know the optimal shrinkage intensity,and we give the formula for that. Without changing any other step in theportfolio optimization process, we show on actual stock market data thatshrinkage reduces tracking error relative to a benchmark index, andsubstantially increases the realized information ratio of the activeportfolio manager.

Socio-cultural determinants of adiposity and physical activity in preschool children: a cross-sectional study.

Both individual socio-cultural determinants such as selected parental characteristics (migrant background, low educational level and workload) as well as the regional environment are related to childhood overweight and physical activity (PA). The purpose of the study was to compare the impact of distinct socio-cultural determinants such as the regional environment and selected parental characteristics on adiposity, PA and motor skills in preschool children. Forty preschools (N = 542 children) of two culturally different urban regions (German and French speaking part of Switzerland) participated in the study (Ballabeina Study). Outcome measures included adiposity (BMI and skinfold thickness), objectively measured sedentary activities and PA (accelerometers) and agility performance (obstacle course). Parental characteristics (migrant status, educational level and workload) were assessed by questionnaire. Children from the French speaking areas had higher adiposity, lower levels of total and of more intense PA, were more sedentary and less agile than children from the German speaking regions (percent differences for all outcome parameters except for BMI ≥10%; all p ≤ 0.04). Differences in skinfold thickness, sedentary activities and agility, but not in PA, were also found between children of Swiss and migrant parents, though they were ≤8% (p ≤ 0.02). While paternal workload had no effect, maternal workload and parental education resulted in differences in some PA measures and/or agility performance (percent differences in both: ≤9%, p ≤ 0.008), but not in adiposity or sedentary activities (p = NS). Regional differences in skinfold thickness, PA, sedentary activities and agility performance persisted after adjustment for parental socio-cultural characteristics, parental BMI and, where applicable, children's skinfolds (all p ≤ 0.01). The regional environment, especially the broader social environment, plays a prominent role in determining adiposity, PA and motor skills of young children and should be implicated in the prevention of obesity and promotion of PA in children. clinicaltrials.gov NCT00674544.