Birth-death processes with mass annihilation and state-dependent immigration

A birth-death process is subject to mass annihilation at rate β with subsequent mass immigration occurring into state j at rateα j . This structure enables the process to jump from one sector of state space to another one (via state 0) with transition rate independent of population size. First, we highlight the difficulties encountered when using standard techniques to construct both time-dependent and equilibrium probabilities. Then we show how to overcome such analytic difficulties by means of a tool developed in Chen and Renshaw (1990, 1993b); this approach is applicable to many processes whose underlying generator on E\{0} has known probability structure. Here we demonstrate the technique through application to the linear birth-death generator on which is superimposed an annihilation/immigration process.

An ontological characterization of time-series and state-sequences for data mining

Time-series and sequences are important patterns in data mining. Based on an ontology of time-elements, this paper presents a formal characterization of time-series and state-sequences, where a state denotes a collection of data whose validation is dependent on time. While a time-series is formalized as a vector of time-elements temporally ordered one after another, a state-sequence is denoted as a list of states correspondingly ordered by a time-series. In general, a time-series and a state-sequence can be incomplete in various ways. This leads to the distinction between complete and incomplete time-series, and between complete and incomplete state-sequences, which allows the expression of both absolute and relative temporal knowledge in data mining.

Modernity, the new republic and Sing Sing: The creation of a disciplined workforce and citizenry

[Author's description] Bringing together new research on punishment and control in the 19th and 20th centuries, this collection begins by examining the development of the modern prison, gender, social control and punishment, and psychiatry and the criminal justice system. Further, it explores penal olicy, prison practice, and discourses on offenders, providing case studies of: the 'respectable' criminal, the female inebriate and the juvenile offender. The final part examines the experiences of confinement, discipline and resistance, through prisoner memoirs, prison riots and resistance and identity in residential institutions.