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New Modified Burr III Distribution, Properties and Applications
| Content Provider | MDPI |
|---|---|
| Author | Jamal, Farrukh Abuzaid, Ali H. Tahir, Muhammad H. Nasir, Muhammad Arslan Khan, Sadaf Mashwani, Wali Khan |
| Copyright Year | 2021 |
| Description | In this article, Burr III distribution is proposed with a significantly improved functional form. This new modification has enhanced the flexibility of the classical distribution with the ability to model all shapes of hazard rate function including increasing, decreasing, bathtub, upside-down bathtub, and nearly constant. Some of its elementary properties, such as rth moments, sth incomplete moments, moment generating function, skewness, kurtosis, mode, ith order statistics, and stochastic ordering, are presented in a clear and concise manner. The well-established technique of maximum likelihood is employed to estimate model parameters. Middle-censoring is considered as a modern general scheme of censoring. The efficacy of the proposed model is asserted through three applications consisting of complete and censored samples. |
| Starting Page | 82 |
| e-ISSN | 22978747 |
| DOI | 10.3390/mca26040082 |
| Journal | Mathematical and Computational Applications |
| Issue Number | 4 |
| Volume Number | 26 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2021-12-20 |
| Access Restriction | Open |
| Subject Keyword | Mathematical and Computational Applications Burr Iii Distribution Stochastic Ordering Middle-censoring Order Statistics |
| Content Type | Text |
| Resource Type | Article |
