The Beta exponentiated Nadarajah-Haghighi distribution: Theory, regression model and application

Year, pages: 2019, 939 - 952

We introduce and study the beta exponentiated Nadarajah-Haghighi model, which has increasing, decreasing, upside-down bathtub and bathtub shaped hazard functions. Some of its mathematical properties are determined including a power series for the quantile function. We perform a Monte Carlo simulation study to assess the finite sample behavior of the maximum likelihood estimates of the parameters. We define a new regression model based on the new distribution. The potentiality of this regression model is proved empirically by means of a real dataset related to diabetic retinopathy study.

Saboor, A., Khan, M., Cordeiro, G., Elbatal, I., Pescim, R. 2019. The Beta exponentiated Nadarajah-Haghighi distribution: Theory, regression model and application. In Mathematica Slovaca, vol. 69, no.4, pp. 939-952. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0279

Saboor, A., Khan, M., Cordeiro, G., Elbatal, I., Pescim, R. (2019). The Beta exponentiated Nadarajah-Haghighi distribution: Theory, regression model and application. Mathematica Slovaca, 69(4), 939-952. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0279

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava