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We present a detailed analysis of the International Pulsar Timing Array(IPTA) Second Mock Data Challenge. We tested our analysis methods using theopen datasets, and then analyzed the closed datasets. In both the open and theclosed datasets, we were able to detect some, but not all, of the injectedgravitational wave signals. This work presents two search cases that are notwell explored in the pulsar timing array (PTA) literature: a simultaneoussearch for a stochastic GW background and an individual loud super-massiveblack hole binary (SMBHB) and a simultaneous search for two SMBHB sources.While we have constructed a cohesive framework for performing these GWsearches, our analyses required fine-tuning of the sampling method used inorder to appropriately converge. Given the nature of real PTA data in whichmultiple sources will be present in data, improved techniques will be requiredin the future to accurately detect and characterize these GW signals.

Results for the International Pulsar Timing Array Second Mock Data  Challenge: New Techniques and Challenges for the Detection of Low-Frequency  Gravitational-Wave Signals