Gompertzverteilungen

GompertzVerteilungen, also known as Gompertz distributions, are a type of probability distribution used to model data that exhibits a period of increasing rate followed by a period of decreasing rate. These distributions are characterized by a shape parameter that controls the asymmetry and a scale parameter that influences the spread of the data. The Gompertz distribution is a continuous probability distribution, and its probability density function is often used in fields such as survival analysis, reliability engineering, and actuarial science. It is particularly useful when the hazard rate is initially increasing and then starts to decrease, which can occur in situations like the aging of biological organisms or the failure of complex systems over time. The cumulative distribution function of a Gompertz distribution is also a key component in its application, allowing for the calculation of probabilities of events occurring within a certain timeframe. Variations and extensions of the Gompertz distribution exist to better fit specific datasets or incorporate additional complexities.