FLUTE MUSIC FROM THE MID-TWENTIETH CENTURY BY THREE FRENCH COMPOSERS: JEAN-MICHEL DAMASE, ANDRE JOLIVET, AND HENRI TOMASI

Jean-Michel Damase (b.1928), Andre Jolivet (1905-1974), and Henri Tomasi (1901-1971) are three prominent French composers ofthe twentieth century. Tomasi won the Prix de Rome in 1927, and Damase won the Prix de Rome in 1947. All three composers were educated and lived in Paris around the same period; however, their musical styles are quite distinct. Most of Jolivet's compositions for flute are well known and are often selected as international competition repertoire. The compositions for flute by Damase and Tomasi are not as recognized as those of Jolivet, and most of their works for flute still have not been commercially recorded. The purpose of this dissertation is to provide a more comprehensive guide to the compositions for flute by Damase, Jolivet and Tomasi, and, in addition, to make the works ofDamase and Tomasi familiar to flutists. This dissertation will focus on the compositions ofDamase, Jolivet, and Tomasi for flute alone and those for flute and piano, written between 1928 and 1971 (1928 is the year Damase was born, and 1971 is the year that Tomasi died). Damase continues French romanticism, and his music is always playful, elegant, and accessible with rhythmic and harmonic surprises, but with an underlying complexity. His compositions for flute include three concertos, two double concertos, one flute solo work, and nine works for flute and piano. Jolivet's compositions make use of ancient rituals, incantations, and spirituality, as well as repeated phrases and single notes, irregular rhythmic patterns, dissonant effects, and rhythmic drive. He composed one flute concerto, three works for flute solo, and four works for flute and piano. Tomasi's compositions also continue French romanticism and contain melodies which often seem to tell a story, and which are not only full of flourishes and vitality, but are also delicate, colorful, and romantic. Virtuosic technical demand is another characteristic of his style. Tomasi composed three flute concertos, three works for solo flute, and one work for flute and piano. Appendix I is a list of the compositions for flute by Damase, Jolivet, and Tomasi, and Appendix II is a discography of their works.

STATISTICAL METHODS FOR ADVANCED ECONOMETRIC MODELS WITH APPLICATIONS TO VEHICLE HOLDING AND SPEED QUANTILES DISTRIBUTION

This dissertation proposes statistical methods to formulate, estimate and apply complex transportation models. Two main problems are part of the analyses conducted and presented in this dissertation. The first method solves an econometric problem and is concerned with the joint estimation of models that contain both discrete and continuous decision variables. The use of ordered models along with a regression is proposed and their effectiveness is evaluated with respect to unordered models. Procedure to calculate and optimize the log-likelihood functions of both discrete-continuous approaches are derived, and difficulties associated with the estimation of unordered models explained. Numerical approximation methods based on the Genz algortithm are implemented in order to solve the multidimensional integral associated with the unordered modeling structure. The problems deriving from the lack of smoothness of the probit model around the maximum of the log-likelihood function, which makes the optimization and the calculation of standard deviations very difficult, are carefully analyzed. A methodology to perform out-of-sample validation in the context of a joint model is proposed. Comprehensive numerical experiments have been conducted on both simulated and real data. In particular, the discrete-continuous models are estimated and applied to vehicle ownership and use models on data extracted from the 2009 National Household Travel Survey. The second part of this work offers a comprehensive statistical analysis of free-flow speed distribution; the method is applied to data collected on a sample of roads in Italy. A linear mixed model that includes speed quantiles in its predictors is estimated. Results show that there is no road effect in the analysis of free-flow speeds, which is particularly important for model transferability. A very general framework to predict random effects with few observations and incomplete access to model covariates is formulated and applied to predict the distribution of free-flow speed quantiles. The speed distribution of most road sections is successfully predicted; jack-knife estimates are calculated and used to explain why some sections are poorly predicted. Eventually, this work contributes to the literature in transportation modeling by proposing econometric model formulations for discrete-continuous variables, more efficient methods for the calculation of multivariate normal probabilities, and random effects models for free-flow speed estimation that takes into account the survey design. All methods are rigorously validated on both real and simulated data.