The Survival Function is a statistical tool used in survival analysis to estimate the probability that an event, such as death or failure, has not occurred by a certain time. It provides insights into the longevity of subjects in a study, often represented as a curve on a graph. The function is particularly useful in fields like medicine, engineering, and social sciences. In mathematical terms, the Survival Function is denoted as S(t), where t represents time. It is derived from the Cumulative Distribution Function (CDF), which measures the probability of an event occurring by time t. The Survival Function is essential for understanding the time until an event occurs, helping researchers and practitioners make informed decisions based on the data.