Probability Distributions and Their Applications

Abstract

Use of probability distributions in hydrology and hydroclimatology is inevitable. This is mostly due to the presence of uncertainty and lack of complete knowledge from the data. In this chapter two types of probability distributions namely—discrete probability distribution and continuous probability distribution are discussed elaborately. Commonly used distributions with their parameters, properties of the distribution supported by graphical representation and their plausible applications in hydrology and hydroclimatology are explained. Each distribution is explained in the following order—basics, interpretation of the random variable, parameters, probability mass/density function, description, potential applications and illustrative examples. This order is expected to help the readers to understand the distribution and to develop the knowledge base for its further applications.