  This chapter provides a review of the frameworks developed for cosmological
perturbation theory in loop quantum cosmology, and applications to various
models of the early universe including inflation, ekpyrosis and the matter
bounce, with an emphasis on potential observational consequences. It also
includes a discussion on extensions to include non-Gaussianities and background
anisotropies, as well as on its limitations concerning trans-Planckian
perturbations and quantization ambiguities. It concludes with a summary of
recent work studying the relation between loop quantum cosmology and full loop
quantum gravity.
