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Browsing by Author "Szulga, Jerzy"

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New Classes of Multivariate Gamma Survival and Reliability Models 

Diawara, Norou (2006-08-15)
Multivariate modeling and analysis based on the multivariate normal distribution is well established and widely used. However, when the marginal distributions have only a positive support, such as time-to-event models, ...

Palm Measure Invariance and Exchangeability for Marked Point Processes 

Peng, Man (2008-12-15)
A random measure $\xi$ on a real interval $I$ is known to be exchangeable iff suitably reduced versions of the Palm distributions $Q_{t}$ are independent of $t \in I$. In this dissertation we prove a corresponding result ...

Random and Vector Measures: from "Toy" Measurable Systems to Quantum Probability 

Courtney, Kristin (2013-07-10)
Vector measure theory and Bochner integration have been well studied over the past century. This work is an introduction to both theories and explores various examples and applications in each. The theories and theorems ...

Solvability and exact moment asymptotics for the interpolated stochastic heat and wave equation and the existence of an invariant measure for a special case. 

Eisenberg, Nicholas (2022-08-05)
This thesis will consist of two main projects, Chapters 2 and 4, and a smaller project in Chapter 3. We will be studying a general space-time fractional stochastic partial differential equation in Chapters 2 and 3 and the ...