On quantile-based asymmetric family of distributions: properties and inference. (English) Zbl 1528.60018
Summary: In this paper, we provide a detailed study of a general family of asymmetric densities. In the general framework, we establish expressions for important characteristics of the distributions and discuss estimation of the parameters via method-of-moments as well as maximum likelihood estimation. Asymptotic normality results for the estimators are provided. The results under the general framework are then applied to some specific examples of asymmetric densities. The use of the asymmetric densities is illustrated in a real-data analysis.
{© 2019 The Authors. International Statistical Review © 2019 International Statistical Institute}
{© 2019 The Authors. International Statistical Review © 2019 International Statistical Institute}
MSC:
| 60E05 | Probability distributions: general theory |
| 62F10 | Point estimation |
| 62F12 | Asymptotic properties of parametric estimators |
Keywords:
asymmetric density; asymptotics; location parameter; maximum likelihood estimation; method-of-moments; quantilesReferences:
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