The extended Burr-R class: properties, applications and modified test for censored data
| Autor: | M. Arslan Nasir, Abdulhakim A. Al-Babtain, Abdus Saboor, Ahmed Z. Afify, Farrukh Jamal, Rehan Ahmad Khan Sherwani, Khaoula Aidi |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Class (set theory)
modified chi-squared test Distribution (number theory) Computer science General Mathematics Maximum likelihood lcsh:Mathematics Order statistic lomax distribution Model parameters maximum likelihood estimation lcsh:QA1-939 ensored data Test (assessment) order statistics Test statistic Lomax distribution Algorithm |
| Zdroj: | AIMS Mathematics, Vol 6, Iss 3, Pp 2912-2931 (2021) |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2021176?viewType=HTML |
| Popis: | This article introduces a new three-parameter Marshall-Olkin Burr-R (MOB-R) family which extends the generalize Burr-G class. Some of its general properties are discussed. One of its special models called the MOB-Lomax distribution is studied in detail for illustrative purpose. A modified chi-square test statistic is provided for right censored data from the MOB-L distribution. The model parameters are estimated via the maximum likelihood and simulation results are obtained to assess the behavior of the maximum likelihood approach. Applications to real data sets are provided to show the usefulness of the proposed MOB-Lomax distribution. The modified chi-square test statistic shows that the MOB-Lomax model can be used as a good candidate for analyzing real censored data. |
| Databáze: | OpenAIRE |
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