Generalized Weighted Weibull Distribution
DOI:
https://doi.org/10.30495/jme.v10i0.458Keywords:
Weighted weibull distribution, Hazard function, Mean residual life time, Stochastic orders, Maximum likelihood estimates.Abstract
The new class of weighted exponential (WE) distributions obtained by Gupta and Kundu (2009) by applying Azzalini’s method to the exponential distribution. Kharazmi et al. (2015) extended the WE distribution to the generalized weighted exponential (GWE) distribution and studied its different properties. In this study, we generalize the weibull distribution to a new class referred to as the generalized weighted weibull (GWW) distribution with one scale parameter and two shape parameters. The GWW model is constructed in a way that is similar to the way in which the GWE is constructed. It is investigated that the new model has increasing, decreasing and upside-down bathtub shaped hazard. Several statistical and reliability properties of this new class of distribution are obtained. Estimation, Simulation and inference procedure for distribution parameters are investigated. Finally, we show that the proposed model can provide better fit than some recent classes of the extended weibull by using two real data examples.Downloads
Additional Files
Published
Issue
Section
License
Upon acceptance of an article, authors will be asked to complete a 'Journal Publishing Agreement'. An e-mail will be sent to the corresponding author confirming receipt of the manuscript together with a "Journal Publishing Agreement" form or a link to the online version of this agreement.
Journal author rights
Authors have copyright but license exclusive rights in their article to the publisher. In this case authors have the right to:
- Share their article in the same ways permitted to third parties under the relevant user license (together with Personal use rights) so long as it contains a link to the version of record on this website.
- Retain patent, trademark and other intellectual property rights (including raw research data).
- Proper attribution and credit for the published work.
Rights granted to this journal
The Journal of Mathematical Extension is granted the following rights:
- This journal will apply the relevant third party user license where this journal publishes the article on its online platforms.
- The right to provide the article in all forms and media so the article can be used on the latest technology even after publication.
- The authority to enforce the rights in the article, on behalf of an author, against third parties, for example in the case of plagiarism or copyright infringement.
Protecting author right
Copyright aims to protect the specific way the article has been written to describe an experiment and the results. This journal is committed to its authors to protect and defend their work and their reputation and takes allegations of infringement, plagiarism, ethic disputes and fraud very seriously.
If an author becomes aware of a possible plagiarism, fraud or infringement we recommend contacting the editorial office immediately.
Personal use
Authors can use their articles, in full or in part, for a wide range of scholarly, non-commercial purposes as outlined below:
- Use by an author in the author’s classroom teaching (including distribution of copies, paper or electronic)
- Distribution of copies (including through e-mail) to known research colleagues for their personal use (but not for Commercial Use)
- Inclusion in a thesis or dissertation (provided that this is not to be published commercially)
- Use in a subsequent compilation of the author’s works
- Extending the Article to book-length form
- Preparation of other derivative works (but not for Commercial Use)
- Otherwise using or re-using portions or excerpts in other works
These rights apply for all authors who publish their article in this journal. In all cases we require that all authors always include a full acknowledgement and, if appropriate, a link to the final published version hosted on this website.
