engleski

The log-odd normal generalized family of distributions with applications

The normal distribution has a central place in distribution theory and statistics. We propose the log-odd normal generalized family of distributions based on log-odds and obtain some of its mathematical properties and a useful linear representation for the new family. We investigate, as a special model, the log-odd normal power-Cauchy distribution. Some structural properties of this distribution are obtained including quantile function, ordinary and incomplete moments, generating function and some asymptotic. We estimate the model parameters using the maximum likelihood method. The usefulness of the proposed family is proved empirically by means of a real air pollution data set.

Maximum likelihood estimation ; Normal distribution ; Power Cauchy distribution ; Shannon entropy.

nije evidentirano