A New Extended G Family of Continuous Distributions with Mathematical Properties, Characterizations and Regression Modeling

By G. Hamedani, Emrah Altun, Mustafa Ç. Korkmaz, Haitham M. Yousof, Nadeem Shafique Butt. Pakistan Journal of Statistics and Operation Research, 2018

68 citations recorded by the source corpus.

We propose a new extended G family of distributions. Some of its structural properties are derived and some useful characterization results are presented. The maximum likelihood method is used to estimate the model parameters by means of graphical and numerical Monte Carlo simulation study. The flexibility of the new family illustrated by means of two real data sets. Moreover, we introduce a new log-location regression model based on the proposed family. The martingale and modified deviance residuals are defined to detect outliers and evaluate the model assumptions. The potentiality of the new regression model is illustrated by means of a real data set.

Subfields: Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/09a8c13ec35042fe021a936c62989c717a0a1236

Citations in the corpus

• A new extension of Lindley distribution: modified validation test, characterizations and different methods of estimation (2019, unknown): “The first characterization employs a theorem due to Gl¨anzel (1987), see Hamedani et al. (2018a; 2018b, Theorem 1) and in the Appendix.”