This book is a course of lectures on the mathematics of actuarial science. The idea behind the lectures is as far as possible to deduce interesting material on contingent present values and life tables directly from calculus and common-sense notions, illustrated through word problems. Both the Interest Theory and Probability related to life tables are treated as wonderful concrete applications ...

Formulas for constructing valid pointwise confidence bands for survival distributions, estimated using unequal probability samples, are derived. In addition, a test statistic for comparing estimated survival distributions from several groups is proposed. The methodology can be applied when survival times are subject to an independent censoring mechanism. The methods are illustrated using data f...

The purpose of this study is the time domain modeling of a piano. We aim at explaining the vibratory and acoustical behavior of the piano, by taking into account the main elements that contribute to sound production. The soundboard is modeled as a bidimensional thick, orthotropic, heterogeneous, frequency dependant damped plate, using Reissner Mindlin equations. The vibroacoustics equations all...

The first study was a retrospective analysis of 5,833 AIDS cases (based on the pre-1987 CDC clinical case definition) reported to the city of New York prior to December 31, 1985. The analysis of survival was done by a cross-linkage of death records. The authors acknowledge that this method "may have resulted in some underascertainment of deaths due to outmigration." If a subject moved his or he...

Background UN Relief and Works Agency for Palestine Refugees in the Near East (UNRWA), which is the main primary health-care provider for 4.9 million Palestinian refugees, including 2 million from the Gaza Strip and West Bank, occupied Palestinian territory, spent US$18.3 million on essential medicines dispensed free of charge through clinics in five areas of operation (fields) – Gaza Strip, Jo...

The Big Data challenge consists in managing, storing, analyzing and visualizing these ever growing huge datasets to extract sense and knowledge. As the volume of data grows exponentially, the management of these data becomes more complex in proportion. A key point is to handle the complexity of the data life cycle, i.e. the various operations performed on data: transfer, archiving, replication,...

Le volume des données géographiques devient de plus en plus important et leur utilisation étendue à différents domaines, d’où le besoin de fouiller dans ces données géographiques. Ces données informent sur la position (les coordonnées) et la forme (point, ligne ou surface) d’objets. Ainsi, l’utilisation des algorithmes de fouille de données devient plus complexe, surtout quand il s’agit d’élabo...