Predicting random level and seasonality of hotel prices. A structural equation growth curve approach

This article examines the effect on price of different characteristics of holiday hotels in the sun-and-beach segment, under the hedonic function perspective. Monthly prices of the majority of hotels in the Spanish continental Mediterranean coast are gathered from May to October 1999 from the tour operator catalogues. Hedonic functions are specified as random-effect models and parametrized as structural equation models with two latent variables, a random peak season price and a random width of seasonal fluctuations. Characteristics of the hotel and the region where they are located are used as predictors of both latent variables. Besides hotel category, region, distance to the beach, availability of parking place and room equipment have an effect on peak price and also on seasonality. 3- star hotels have the highest seasonality and hotels located in the southern regions the lowest, which could be explained by a warmer climate in autumn

Mutigrid preconditioner for nonconforming discretization of elliptic problems with jump coefficients

In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order elliptic problems with jump coe fficients. The preconditioner uses the standard conforming subspaces as coarse spaces. Numerical tests show both robustness with respect to the jump in the coe fficient and near-optimality with respect to the number of degrees of freedom.

Schwarz methods for a preconditioned WOPSIP method for elliptic problems

We construct and analyze non-overlapping Schwarz methods for a preconditioned weakly over-penalized symmetric interior penalty (WOPSIP) method for elliptic problems.

Modelling the cardiovascular system for automatic interpretation of the blood pressure curve

A four compartment model of the cardiovascular system is developed. To allow for easy interpretation and to minimise the number of parameters, an effort was made to keep the model as simple as possible. A sensitivity analysis is first carried out to determine which are the most important model parameters to characterise the blood pressure signal. A four stage process is then described which accurately determines all parameter values. This process is applied to data from three patients and good agreement is shown in all cases.

Speculation, risk premia and expectations in the yield curve

An affine asset pricing model in which traders have rational but heterogeneous expectations aboutfuture asset prices is developed. We use the framework to analyze the term structure of interestrates and to perform a novel three-way decomposition of bond yields into (i) average expectationsabout short rates (ii) common risk premia and (iii) a speculative component due to heterogeneousexpectations about the resale value of a bond. The speculative term is orthogonal to public informationin real time and therefore statistically distinct from common risk premia. Empirically wefind that the speculative component is quantitatively important accounting for up to a percentagepoint of yields, even in the low yield environment of the last decade. Furthermore, allowing for aspeculative component in bond yields results in estimates of historical risk premia that are morevolatile than suggested by standard Affine Gaussian term structure models which our frameworknests.

The return of the wage Phillips curve

The standard New Keynesian model with staggered wage settingis shown to imply a simple dynamic relation between wage inflationand unemployment. Under some assumptions, that relation takes aform similar to that found in empirical wage equations-starting fromPhillips' (1958) original work-and may thus be viewed as providingsome theoretical foundations to the latter. The structural wage equation derived here is shown to account reasonably well for the comovement of wage inflation and the unemployment rate in the U.S. economy, even under the strong assumption of a constant natural rate ofunemployment.

Comment to "Weak instruments robust tests in GMM and the New Keynesian Phillips curve" by Frank Kleibergen and Sophocles Mavroeidis

I discuss the identifiability of a structural New Keynesian Phillips curve when it is embedded in a small scale dynamic stochastic general equilibrium model. Identification problems emerge because not all the structural parameters are recoverable from the semi-structural ones and because the objective functions I consider are poorly behaved. The solution and the moment mappings are responsible for the problems.

A note on quadrics through an algebraic curve

In this note we describe the intersection of all quadric hypersur- faces containing a given linearly normal smooth projective curve of genus n and degree 2n + 1

Extending the Kuznets Curve

[cat] Les darreres dècades s’han caracteritzat per un intens augment de les desigualtats salarials a nivell mundial. Aquest article allarga la hipòtesi clàssica de la Corba de Kuznets per cobrir les economies post-industrials i tractar d’explicar aquest fenomen. Segons la hipòtesi de la Corba de Kuznets Allargada, les desigualtats salarials podrien evolucionar segons una corba en forma d’N. La U-inverida d’aquesta corba seria deguda al procés de canvi estructural que acompanya a un procés de industrialització. I l’extrem dret de la mateixa, associada al creixement explosiu de la formació de capital humà en les economies modernes i post-industrials. En aquest sentit, els principals candidats per explicar el recent augment de les desigualtats: el canvi tècnic esbiaixat a favor del treball qualificat, la globalització (comerç i migracions) i els factors institucionals, estarien ja incorporats en l’evolució de la composició de la força de treball en termes de qualificacions. La limitada evidència empírica sobre aquest tema, tendeix a donar suport a la Corba de Kuznets Allargada.

Extending the Kuznets Curve

[cat] Les darreres dècades s’han caracteritzat per un intens augment de les desigualtats salarials a nivell mundial. Aquest article allarga la hipòtesi clàssica de la Corba de Kuznets per cobrir les economies post-industrials i tractar d’explicar aquest fenomen. Segons la hipòtesi de la Corba de Kuznets Allargada, les desigualtats salarials podrien evolucionar segons una corba en forma d’N. La U-inverida d’aquesta corba seria deguda al procés de canvi estructural que acompanya a un procés de industrialització. I l’extrem dret de la mateixa, associada al creixement explosiu de la formació de capital humà en les economies modernes i post-industrials. En aquest sentit, els principals candidats per explicar el recent augment de les desigualtats: el canvi tècnic esbiaixat a favor del treball qualificat, la globalització (comerç i migracions) i els factors institucionals, estarien ja incorporats en l’evolució de la composició de la força de treball en termes de qualificacions. La limitada evidència empírica sobre aquest tema, tendeix a donar suport a la Corba de Kuznets Allargada.

On Ito's formula for elliptic diffusion processes

Bardina and Jolis [Stochastic process. Appl. 69 (1997) 83-109] prove an extension of Ito's formula for F(Xt, t), where F(x, t) has a locally square-integrable derivative in x that satisfies a mild continuity condition in t and X is a one-dimensional diffusion process such that the law of Xt has a density satisfying certain properties. This formula was expressed using quadratic covariation. Following the ideas of Eisenbaum [Potential Anal. 13 (2000) 303-328] concerning Brownian motion, we show that one can re-express this formula using integration over space and time with respect to local times in place of quadratic covariation. We also show that when the function F has a locally integrable derivative in t, we can avoid the mild continuity condition in t for the derivative of F in x.

J2 effect and elliptic inclined periodic orbits in the collision three-body problem

The existence of a new class of inclined periodic orbits of the collision restricted three-body problem is shown. The symmetric periodic solutions found are perturbations of elliptic kepler orbits and they exist only for special values of the inclination and are related to the motion of a satellite around an oblate planet

Sierpinski curve Julia sets for quadratic rational maps

We investigate under which dynamical conditions the Julia set of a quadratic rational map is a Sierpiński curve.