Richard link functions

Richard link functions are an important component of statistical applications in growth models or in the basis of growth curves. In this, study, by focussing on the general structure of Richard link functions, the structure is expanded in such a way as to include the features of distribution function important for possibility theory. In addition, a set of new findings provided by the Richard link function have been added to the basic features of the growth curves. The theoretical results obtained in this study are extremely important in terms of growth models. To date in literature, the point at which growth has slowed in a growth model has not been defined in the model. The reason for this is that by showing a continuous increase, the known models are seen to become stable after growth has been completed. The current study has been able to resolve this problem in an appropriate way. Another new aspect of this study is that by making the identified Richard distribution spiral in the positive half-axis, cyclical data was used. This benefit was supported by an application made with Ant data in the final section of the study. However, continuous deformation of the Richard family occurred within this additional application. Key Words: Richard link function, Distribution function, Growth models, Wrapped distribution