Correction Notice

This article refers to:

Generalized inverted Kumaraswamy generated family of distributions: theory and applications

Article title: Generalized inverted Kumaraswamy generated family of distributions: theory and applications

Authors: Farrukh Jamal, Muhammad Arslan Nasir, Gamze Ozel, M. Elgarhy & Naushad Mamode Khan

Journal: Journal of Applied Statistics

Bibliometrics: Volume 46, Number 16, pages 2927–2944

DOI: https://doi.org/10.1080/02664763.2019.1623867

The authors wish to make the following corrections to clarify the similarities and differences between their article in JAS and the following publication (Reference [11]):

M. Elgarhy, A.S. Hassan and M. Rashed, Garhy-generated family of distributions with application, Math. Theory Model. 6 (2016), pp. 1–15.

In the Introduction, the following details have now been included following Equation 4:

Elgarhy et al. [11] used Kumaraswamy G family by Cordeiro and de Castro [8] and Lehmann alternative 1 (LA1) (due to Lehmann, 1953) and developed a new G family called Garhy-Generated Family, which is actually exponentiated Kumaraswamy G family of distribution, with its cdf as $G\left(x\right)=(1-(1-H(x{)}^a{)}^b{)}^{\text{β}}$.

While, we introduce in this paper Generalized inverted Kumaraswamy generated family, we used inverted Kumaraswamy distribution (which is totally different from the Kumaraswamy distribution used by Elgarhy et al. [11]) by using the generator $\left(\frac{G^{\gamma }}{1-G^{\gamma }}\right)$ to get the new cdf as given in equation (3).

Our technique is entirely different from Elgarhy et al. [11], though the new cdfs are the same (See Equation 1 and 2), which we already mentioned in the paper.

In Sections 2.1 and 2.4, the authors state:

In this paper, we obtained some new and alternative results as Elgarhy et al. [11] with new simulation and application.

The heading in Section 2.2 now reads:

Generalized inverted Kumaraswamy-Weibull (GIKw-W) distribution (by Elgarhy et al. [11])

In Section 3.1, the text has been corrected to:

Here, the infinite mixture representations for the cdf and pdf of the GIKw-G family are given in terms of baseline densities. Consider the following and different series expansion by Elgarhy et al. [11]:

The authors, the Editor-in-Chief and the Publisher would like to thank the readers for bringing their concerns to our attention.