The New Exponentiated Half Logistic-Harris-G Family of Distributions with Actuarial Measures and Applications
Round 1
Reviewer 1 Report
In this study, the authors introduce a new generalized family of distributions called the Exponentiated Half Logistic-Harris-G (EHL-Harris-G) distribution. Several statistical properties including hazard rate function, quantile function, moments, moments of residual life, distribution of the order statistics and Rényi entropy are discussed. Risk measures such as value at risk, tail value at risk, tail variance and tail variance premium are also derived and studied. To estimate the parameters the EHLHarris-G family of distributions, six different estimation approaches are used, namely, maximum likelihood, least-squares, weighted least-squares, maximum product spacing, Cramér-von Mises, and Anderson–Darling. The consistency properties of the six estimation methods were assessed using Monte Carlo simulations for a special case of the EHL-Harris-G family of distributions. Finally, the authors illustrate the goodness-of-fit of the new family of distributions by fitting it to two real life data sets from different fields. The paper is interesting and well-written but has drawbacks:
1. The authors should clearly formulate areas of applicability of the proposed distributions.
2. The authors should explain clearly all used tests and all cases. I mean that the new distribution entails a new modification of the tests with a slightly different model of the null hypothesis.
3. The presentation of the paper should be improved, ecpecially, for figures and tables.
4. The presented numerical examples should be better commented on.
The quality of English is acceptable.
Author Response
Please see the attachment
Author Response File: 
Author Response.pdf
Reviewer 2 Report
In this paper, the author suggested a new probability family by using the method proposed by Cordeiro et al. [10] to generate or construct new probability families of continuous distributions. Some of the properties of the suggested model are developed, such as product moments, moment-generating function, and Reny entropy. Although I find some merit in the paper, it is required that substantial revisions:
Major comment:
1-In my opinion, the author did not suggest a new method for constructing new probability families of continuous distributions, as was claimed at the beginning of the paper. The author used a known method due to [10], which required choosing a survival function of any distribution. The author chose the survival function of the Harris-G class of distributions, which was proposed by Pinho et al. [14]. Consequently, the abstract of the paper must be rewritten to include a reference to this.
2- At the beginning of page 2, the authors made a quick review of some works relating to the extended family of distribution functions. I suggest adding some extra important works related to the collection of references cited by the authors:
i- Azzalini, A. (1985). A class of distributions which includes the normal ones. Scandinavian Journal of
Statistics 12(2):171–178.
ii- Barakat, H. M. (2015). A new method for adding two parameters to a family of distributions with application to the normal and exponential families. Stat. Methods & Appl. (SMA). 24(3): 359-372.
iii- Barakat, H. M. and Khaled, O. M. (2017). Towards the establishment of a family of distributions that best fits any data set. Comm. Statist.-Simulation and Computation, 46(8): 6129-6143.
iv- Essam K. AL-Hussaini and Alaa H. Abdel-Hamid. (2018). Generation of Distribution Functions: A Survey. J. Stat. Appl. Pro. 7, No. 1, 91-103.
Author Response
Please see the attachment
Author Response File: Author Response.pdf
Reviewer 3 Report
attached
Comments for author File: Comments.pdf
Author Response
Please see the attachment
Author Response File: Author Response.pdf
Reviewer 4 Report
see report
Comments for author File: Comments.pdf
minor editing language
Author Response
Please see the attachment
Author Response File: Author Response.pdf
Round 2
Reviewer 1 Report
The authors addressed all my concerns. The paper can be accepted.
The quality of English is acceptable.
Reviewer 2 Report
Dear Ms. Stine Wang
Assistant Editor of the journal Stats
The report/comments on manuscript
Manuscript Number: stats-2524682
Title: The New Exponentiated Half Logistic-Harris-G Family of Distributions
with Actuarial Measures and Applications.
The authors followed all the comments and suggestions in the revised manuscript, which can be suitable for the journal Stats.
Reviewer 4 Report
no comment
