4 papers · 1 filter
Bayesian Nonparametric Marked Hawkes Processes for Earthquake Modeling
Hyotae Kim, Athanasios Kottas
The Hawkes process is a versatile stochastic model for point patterns that exhibit self-excitation, that is, the property that an event occurrence increases the rate of occurrence…
Mixture Modeling for Temporal Point Processes with Memory
Xiaotian Zheng, Athanasios Kottas, Bruno Sansó
We propose a constructive approach to building temporal point processes that incorporate dependence on their history. The dependence is modeled through the conditional density of t…
Flexible Bayesian Modeling for Longitudinal Binary and Ordinal Responses
Jizhou Kang, Athanasios Kottas
Longitudinal studies with binary or ordinal responses are widely encountered in various disciplines, where the primary focus is on the temporal evolution of the probability of each…
Bayesian Nonparametric Risk Assessment in Developmental Toxicity Studies with Ordinal Responses
Jizhou Kang, Athanasios Kottas
We develop a nonparametric Bayesian modeling framework for clustered ordinal responses in developmental toxicity studies, which typically exhibit extensive heterogeneity. The prima…