A compositional statistical analysis of capital stock

Most of economic literature has presented its analysis under the assumption of homogeneous capital stock.However, capital composition differs across countries. What has been the pattern of capital compositionassociated with World economies? We make an exploratory statistical analysis based on compositional datatransformed by Aitchinson logratio transformations and we use tools for visualizing and measuring statisticalestimators of association among the components. The goal is to detect distinctive patterns in the composition.As initial findings could be cited that:1. Sectorial components behaved in a correlated way, building industries on one side and , in a lessclear view, equipment industries on the other.2. Full sample estimation shows a negative correlation between durable goods component andother buildings component and between transportation and building industries components.3. Countries with zeros in some components are mainly low income countries at the bottom of theincome category and behaved in a extreme way distorting main results observed in the fullsample.4. After removing these extreme cases, conclusions seem not very sensitive to the presence ofanother isolated cases

Alternative ways to estimate change points in multinomial sequences. An application to an authorship attribution problem

The statistical analysis of literary style is the part of stylometry that compares measurable characteristicsin a text that are rarely controlled by the author, with those in other texts. When thegoal is to settle authorship questions, these characteristics should relate to the author’s style andnot to the genre, epoch or editor, and they should be such that their variation between authors islarger than the variation within comparable texts from the same author.For an overview of the literature on stylometry and some of the techniques involved, see for exampleMosteller and Wallace (1964, 82), Herdan (1964), Morton (1978), Holmes (1985), Oakes (1998) orLebart, Salem and Berry (1998).Tirant lo Blanc, a chivalry book, is the main work in catalan literature and it was hailed to be“the best book of its kind in the world” by Cervantes in Don Quixote. Considered by writterslike Vargas Llosa or Damaso Alonso to be the first modern novel in Europe, it has been translatedseveral times into Spanish, Italian and French, with modern English translations by Rosenthal(1996) and La Fontaine (1993). The main body of this book was written between 1460 and 1465,but it was not printed until 1490.There is an intense and long lasting debate around its authorship sprouting from its first edition,where its introduction states that the whole book is the work of Martorell (1413?-1468), while atthe end it is stated that the last one fourth of the book is by Galba (?-1490), after the death ofMartorell. Some of the authors that support the theory of single authorship are Riquer (1990),Chiner (1993) and Badia (1993), while some of those supporting the double authorship are Riquer(1947), Coromines (1956) and Ferrando (1995). For an overview of this debate, see Riquer (1990).Neither of the two candidate authors left any text comparable to the one under study, and thereforediscriminant analysis can not be used to help classify chapters by author. By using sample textsencompassing about ten percent of the book, and looking at word length and at the use of 44conjunctions, prepositions and articles, Ginebra and Cabos (1998) detect heterogeneities that mightindicate the existence of two authors. By analyzing the diversity of the vocabulary, Riba andGinebra (2000) estimates that stylistic boundary to be near chapter 383.Following the lead of the extensive literature, this paper looks into word length, the use of the mostfrequent words and into the use of vowels in each chapter of the book. Given that the featuresselected are categorical, that leads to three contingency tables of ordered rows and therefore tothree sequences of multinomial observations.Section 2 explores these sequences graphically, observing a clear shift in their distribution. Section 3describes the problem of the estimation of a suden change-point in those sequences, in the followingsections we propose various ways to estimate change-points in multinomial sequences; the methodin section 4 involves fitting models for polytomous data, the one in Section 5 fits gamma modelsonto the sequence of Chi-square distances between each row profiles and the average profile, theone in Section 6 fits models onto the sequence of values taken by the first component of thecorrespondence analysis as well as onto sequences of other summary measures like the averageword length. In Section 7 we fit models onto the marginal binomial sequences to identify thefeatures that distinguish the chapters before and after that boundary. Most methods rely heavilyon the use of generalized linear models

Refinement criteria for global illumination using convex funcions

In several computer graphics areas, a refinement criterion is often needed to decide whether to goon or to stop sampling a signal. When the sampled values are homogeneous enough, we assume thatthey represent the signal fairly well and we do not need further refinement, otherwise more samples arerequired, possibly with adaptive subdivision of the domain. For this purpose, a criterion which is verysensitive to variability is necessary. In this paper, we present a family of discrimination measures, thef-divergences, meeting this requirement. These convex functions have been well studied and successfullyapplied to image processing and several areas of engineering. Two applications to global illuminationare shown: oracles for hierarchical radiosity and criteria for adaptive refinement in ray-tracing. Weobtain significantly better results than with classic criteria, showing that f-divergences are worth furtherinvestigation in computer graphics. Also a discrimination measure based on entropy of the samples forrefinement in ray-tracing is introduced. The recursive decomposition of entropy provides us with a naturalmethod to deal with the adaptive subdivision of the sampling region

Validation of order rank scales based on compositional data analysis: a proposal

Usually, psychometricians apply classical factorial analysis to evaluate construct validity of order rankscales. Nevertheless, these scales have particular characteristics that must be taken into account: totalscores and rank are highly relevant

Moderating effects of management control systems and innovation on performance. Simple methods for correcting the effects of measurement error for interaction effects in small samples

In the accounting literature, interaction or moderating effects are usually assessed by means of OLS regression and summated rating scales are constructed to reduce measurement error bias. Structural equation models and two-stage least squares regression could be used to completely eliminate this bias, but large samples are needed. Partial Least Squares are appropriate for small samples but do not correct measurement error bias. In this article, disattenuated regression is discussed as a small sample alternative and is illustrated on data of Bisbe and Otley (in press) that examine the interaction effect of innovation and style of use of budgets on performance. Sizeable differences emerge between OLS and disattenuated regression

Assessing the Precision of Compositional Data in a Stratified Double Stage Cluster Sample: Application to the Swiss Earnings Structure Survey

Precision of released figures is not only an important quality feature of official statistics,it is also essential for a good understanding of the data. In this paper we show a casestudy of how precision could be conveyed if the multivariate nature of data has to betaken into account. In the official release of the Swiss earnings structure survey, the totalsalary is broken down into several wage components. We follow Aitchison's approachfor the analysis of compositional data, which is based on logratios of components. Wefirst present diferent multivariate analyses of the compositional data whereby the wagecomponents are broken down by economic activity classes. Then we propose a numberof ways to assess precision

Interactions between grain size and composition of sediments: two examples

Two contrasting case studies of sediment and detrital mineral composition are investigated in order to outline interactions between chemical composition and grain size. Modern glacial sediments exhibit a strong dependence of the two parameters due to the preferential enrichment of mafic minerals, especially biotite, in the fine-grained fractions. On the other hand, the composition of detrital heavy minerals (here: rutile) appears to be not systematically related to grain-size, but is strongly controlled by location, i.e. the petrology of the source rocks of detrital grains. This supports the use of rutile as a well-suited tracer mineral for provenance studies. The results further suggest that (i) interpretations derived from whole-rock sediment geochemistry should be flanked by grain-size observations, and (ii) a more sound statistical evaluation of these interactions require the development of new tailor-made statistical tools to deal with such so-called two-way compositions

Comparison studies of tin deposits (Priamurye, Russia) using the Aitchison’s methodology

A study of tin deposits from Priamurye (Russia) is performed to analyze the differencesbetween them based on their origin and also on commercial criteria. A particularanalysis based on their vertical zonality is also given for samples from Solnechnoedeposit. All the statistical analysis are made on the subcomposition formed by seventrace elements in cassiterite (In, Sc, Be, W, Nb, Ti and V) using the Aitchison’methodology of analysis of compositional data

Cap a una nova geografia regional? Notícia del seminari celebrat a la ciutat dels quatre rius

Del 28 al 30 de juny de 1989 se celebra a Girona el I Curs d'Estiu de Geografia, en el marc dels Cursos d'Estiu de l'Estudi General de Girona -Universidad Internacional Menéndez y Pelayo. La primera edició d'aquest curs es dedica a la geografia regional. Es tractava d'impulsar una discussió a fons sobre la revifalla del concepte de regió, observada no solament des d’algunes de les perspectives geogràfiques més innovadores, sinó també des d'altres camps de les ciències socials i humanes. Ens trobem davant d'una seriosa reconsideració teòrica i metodològica de la perspectiva regional, que inclou, alhora, una suggeridora reflexió sobre el paper que el lloc, el context espacial, té o hauria de tenir en l'explicació dels fenòmens socials, polítics i econòmics que afecten la nostra vida quotidiana. El text que segueix a continuació és una breu noticia de l’esmentat curs

Géopoint-82. Les territoires de la vie quotidienne

Relació i resum de les ponències del IV Col•loqui Geopoint 82, celebrat el maig d’aquell any a Avinyó on es van desenvolupar les ponències “Le territoire dans ses rapports avec les espaces géographiques: concept ancien, utilisation nouvelle.”, “Le Pays, niveau géographique.”, “Le territoire de la vie quotidienne et le référentiel-habitant.”, “Réseaux et niveaux de territorialité”, “Pratique de l'eco-développement.”, “Le territoire en milieu urbain.” i “La territorialité.”

El Bosc, element clau d'un paisatge i d'una comunitat

Aquest treball és un resum de la Memòria de Llicenciatura El Bosc, element clau d’un paisatge i d’una comunitat. La seva percepció per part dels pagesos de l’Alta Garrotxa. Assaig metodològic, llegida el 18 de desembre de 1981 a la Universitat Autònoma de Barcelona

Sobre geografía moral

Els geògrafs s’inclouen tant en el camp de les ciències de la terra com en el de les ciències socials, tot i que també es poden considerar filòsofs morals, perquè es preocupen i s’interessen pels valors, els costums i les aspiracions humanes de no només limitar-se a sobreviure, sinó també d’aconseguir una vida fructuosa i agradable. En aquest intent per aconseguir una bona vida, els éssers humans han hagut d’organitzar-se i servir-se del poder, amb el qual és fàcil, per altra banda, cometre abusos contra els més febles i també contra la natura. El vessant moral és inevitable en qualsevol detallada consideració de la realitat humana. Aquest article pretén explorar l’esmentat vessant en societats senzilles i complexes, és a dir, tant entre els pobles caçadors-recol·lectors com en aquelles cultures més sofisticades que han transformat el camp, el jardí i la ciutat

La Sociedad Geográfica de Madrid y el colonialismo español en Marruecos (1876-1956)

L’objectiu central de l’article és analitzar l’actitud que es manifestà a la Sociedad Geogràfica de Madrid en relació amb l’acció colonial espanyola al Marroc, des del 1876 —any de creació de la Societat— fins al 1956 —independència del Marroc i consegüent finalització del protectorat espanyol—. Així mateix, s’examinen les actuacions que dugué a terme per impulsar l’esmentat procés, els mecanismes que utilitzà per influir en la política exterior i en la societat espanyoles i les repercussions de la seva activitat

“El Mediterráneo en el diálogo Norte-Sur”: III Curso Internacional de Defensa. Jaca (Huesca), 19-23 de septiembre de 1995

Del 19 al 23 de setembre de 1995 es va celebrar a Jaca (Osca) el III Curs Internacional de Defensa, amb el títol específic “ El Mediterrani en el Diàleg Nord Sud”, organitzat per la Càtedra Miguel de Cervantes de l’Acadèmia General Militar i la Universitat de Saragossa. Els objectius assenyalats pels organitzadors es van centrar a potenciar l’intercanvi d’opinions entre especialistes i representants de les institucions sobre aspectes polítics, socials, econòmics i de defensa que afecten l’espai geopolític de les dues riberes del Mediterrani, i a analitzar els mecanismes de cooperació que actuen a l’àrea i la política de la Unió Europea a la zona

Inference of distributional parameters from compositional samples containing nondetects

Low concentrations of elements in geochemical analyses have the peculiarity of beingcompositional data and, for a given level of significance, are likely to be beyond thecapabilities of laboratories to distinguish between minute concentrations and completeabsence, thus preventing laboratories from reporting extremely low concentrations of theanalyte. Instead, what is reported is the detection limit, which is the minimumconcentration that conclusively differentiates between presence and absence of theelement. A spatially distributed exhaustive sample is employed in this study to generateunbiased sub-samples, which are further censored to observe the effect that differentdetection limits and sample sizes have on the inference of population distributionsstarting from geochemical analyses having specimens below detection limit (nondetects).The isometric logratio transformation is used to convert the compositional data in thesimplex to samples in real space, thus allowing the practitioner to properly borrow fromthe large source of statistical techniques valid only in real space. The bootstrap method isused to numerically investigate the reliability of inferring several distributionalparameters employing different forms of imputation for the censored data. The casestudy illustrates that, in general, best results are obtained when imputations are madeusing the distribution best fitting the readings above detection limit and exposes theproblems of other more widely used practices. When the sample is spatially correlated, itis necessary to combine the bootstrap with stochastic simulation