Random walk radiosity with generalized absorption probabilities

The author studies random walk estimators for radiosity with generalized absorption probabilities. That is, a path will either die or survive on a patch according to an arbitrary probability. The estimators studied so far, the infinite path length estimator and finite path length one, can be considered as particular cases. Practical applications of the random walks with generalized probabilities are given. A necessary and sufficient condition for the existence of the variance is given, together with heuristics to be used in practical cases. The optimal probabilities are also found for the case when one is interested in the whole scene, and are equal to the reflectivities

An octree isosurface codification based on discrete planes

Describes a method to code a decimated model of an isosurface on an octree representation while maintaining volume data if it is needed. The proposed technique is based on grouping the marching cubes (MC) patterns into five configurations according the topology and the number of planes of the surface that are contained in a cell. Moreover, the discrete number of planes on which the surface lays is fixed. Starting from a complete volume octree, with the isosurface codified at terminal nodes according to the new configuration, a bottom-up strategy is taken for merging cells. Such a strategy allows one to implicitly represent co-planar faces in the upper octree levels without introducing any error. At the end of this merging process, when it is required, a reconstruction strategy is applied to generate the surface contained in the octree intersected leaves. Some examples with medical data demonstrate that a reduction of up to 50% in the number of polygons can be achieved

Bias and standard error for social reciprocity measurements

The directional consistency and skew-symmetry statistics have been proposed as global measurements of social reciprocity. Although both measures can be useful for quantifying social reciprocity, researchers need to know whether these estimators are biased in order to assess descriptive results properly. That is, if estimators are biased, researchers should compare actual values with expected values under the specified null hypothesis. Furthermore, standard errors are needed to enable suitable assessment of discrepancies between actual and expected values. This paper aims to derive some exact and approximate expressions in order to obtain bias and standard error values for both estimators for round-robin designs, although the results can also be extended to other reciprocal designs.

Indirect likelihood inference (revised)

Standard indirect Inference (II) estimators take a given finite-dimensional statistic, Z_{n} , and then estimate the parameters by matching the sample statistic with the model-implied population moment. We here propose a novel estimation method that utilizes all available information contained in the distribution of Z_{n} , not just its first moment. This is done by computing the likelihood of Z_{n}, and then estimating the parameters by either maximizing the likelihood or computing the posterior mean for a given prior of the parameters. These are referred to as the maximum indirect likelihood (MIL) and Bayesian Indirect Likelihood (BIL) estimators, respectively. We show that the IL estimators are first-order equivalent to the corresponding moment-based II estimator that employs the optimal weighting matrix. However, due to higher-order features of Z_{n} , the IL estimators are higher order efficient relative to the standard II estimator. The likelihood of Z_{n} will in general be unknown and so simulated versions of IL estimators are developed. Monte Carlo results for a structural auction model and a DSGE model show that the proposed estimators indeed have attractive finite sample properties.

Gestió de pressupostos per a la construcció

En els últims anys el sector de la construcció ha experimentat un creixement exponencial. Aquest creixement ha repercutit sobre molts aspectes: des de la necessitat de tenir més personal a les obres, la implantació d’unes oficines per a poder gestionar la compatibilitat i portar un control sobre les obres fins a la necessitat d’haver de disposar de programes informàtics específics que ajudin a realitzar la feina de la manera més còmode i àgil possible. El projecte que s’ha dut a terme consisteix a cobrir una d’aquestes necessitats, que és la de la gestió dels pressupostos en les diferents obres que els constructors realitzen. Utilitza la base de dades de l’ITEC (institut de Tecnologia de la Construcció de Catalunya) sobre la qual treballen la immensa majoria dels arquitectes quan dissenyen les obres, però també permet entrar les pròpies dades que el constructor vulgui. L’usuari de l’aplicació podrà fer pressupostos per obres de nova construcció, reformes ... agrupant cada una d’elles per capítols. Aquests capítols els podem entendre com les diferents fases a dur a terme, per exemple: la construcció dels fonaments, l’aixecament de les parets o fer la teulada. Dins dels capítols hi trobem les partides, que és un conjunt de materials i hores de feina i maquinària per a dur a terme una part de l’obra, com per exemple seria fer un envà de separació entre habitacions. En aquest cas hi tindríem els diferents materials que necessitaríem, totxanes, morter; les hores de manobre necessàries per aixecar-la, el transport de tot el material fins a l’obra... Tots aquests paràmetres (materials, hores, transport...) s’anomenen articles i van inclosos a dins de les partides. Aquesta aplicació està dissenyada per funcionar en un entorn client/servidor, utilitzant com a servidor un Linux OpenSuse 10.2 i com a clients estacions de treball amb Windows XP, tot i que també podríem utilitzar d’altres versions dels sistemes operatius de Microsoft. L’entorn de desenvolupament utilitzat és el del llenguatge FDS , el qual ja porta integrat un gestor de fitxers que és el que es farà servir.