On Recent Modifications of Extended Weibull Families Distributions and Its Applications
Keywords:
Weibull distribution, reliability, generating and quantile functions, Hazard rate function, Parameter estimation, Estimation Methods.Abstract
Â
The paper discusses an extended form of family of Weibull distributions and some important cases of this distributions. The family of Weibull distributions and its derivate models finds many applications. The author proposes a new six parameters extended Weibull model, which generalizes the family of weibull distributions. The applicability of the new models is well justified by means of two real data sets. Several methods are used to estimate the Weibull parameters which are (MLE) and (ME). Various properties of this new family are investigated and then exploited to derive several related results, especially characterizations, in probability. As a motivation, the statistical applications of the results based on health related data are included which investigates reliability properties of a flexible extended weibull family of distributions. The findings of this work will be useful for the practitioners in various fields of theoretical and applied sciences.
Downloads
Published
How to Cite
Issue
Section
License
- Papers must be submitted on the understanding that they have not been published elsewhere (except in the form of an abstract or as part of a published lecture, review, or thesis) and are not currently under consideration by another journal published by any other publisher.
- It is also the authors responsibility to ensure that the articles emanating from a particular source are submitted with the necessary approval.
- The authors warrant that the paper is original and that he/she is the author of the paper, except for material that is clearly identified as to its original source, with permission notices from the copyright owners where required.
- The authors ensure that all the references carefully and they are accurate in the text as well as in the list of references (and vice versa).
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Attribution-NonCommercial 4.0 International that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
- The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author.