Zeitschrift für Biometrie und Biostatistik

Wrapped Generalized Gompertz distribution: an Application to Ornithology

Abstract

Shongkour Roy and Mian Arif Shams Adnan

In many scientific fields such as biology (orientation of birds), geology (orientations of feldspar laths) and meteorology (wind direction and ozone concentration), data occur as angular forms. In this paper, a class of wrapped distribution called wrapped generalized Gompertz distributions are introduced (WGG). Characteristic function and fundamental properties of this distribution are described. Some theorems that relate the distribution to some other circular distributions are established. Applications to density estimation and goodness-of-fit tests are used to analyze data on the heading of orientation of the nest of noisy scrub birds, and it is shown that the model fits much better than some other existing circular symmetric and non-symmetric models.