  A variety of gravitational-wave transient sources can be modeled in the
Fourier domain using a power law. This simple power-law model provides a
reasonable approximation for gravitational-wave bursts from cosmic string
cusps, cosmic string kinks, and the memory effect. Each of these sources is
described using a different spectral index. In this work, we simulate
interferometer strain data with injections of power-law and memory bursts to
demonstrate parameter estimation, signal detection, and model selection. We
show how Bayesian inference can be used to measure the power-law spectral
index, thereby distinguishing between different astrophysical scenarios.
