Unit-log-symmetric models: Characterization, statistical properties and its use in analyzing internet access data

11/26/2022

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by   Roberto Vila, et al.

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We present here a unit-log-symmetric model based on the bivariate log-symmetric distribution. It is a flexible family of distributions over the interval (0, 1). We then discuss its mathematical properties such as stochastic representation, symmetry, modality, moments, quantile function, entropy and maximum likelihood estimators, paying particular attention to the special cases of unit log-normal, unit-log-Student-t and unit-log-Laplace distributions. Finally, some empirical results and practical illustrations are presented.