Seismology, known as the science of earthquakes, is a branch of geophysics that studies earthquakes, seismic wave propagation within the earth, measurement instruments (seismographs) and seismic methods, evaluation of data, and other earthquake-related issues. Statistics is the science of collecting data accurately, learning from data, and transforming data and observations into information. Statistical seismology is the subject of transforming earthquake data into information by analyzing statistical methods, observing, predicting, and interpreting. It is the application of stochastic modeling into seismology. Even if all seismogenic structures and features that can cause an earthquake in a seismotectonic region are known, an earthquake is a natural event that occurs stochastically (randomly) in terms of its occurrence in temporal and spatial. Several probability models are used based on the random nature of the earthquake. Best-fit probability models have always been an important subject in statistical seismology. In this chapter, these subjects of statistical seismology are discussed.