Journal
| Title | On the Asymptotic Behavior of the Parameters of the Burr Type IV Distribution for Lifetime Survival Data Posted by Bernadette Tubo |
| Authors | Claire Joy G. Mariquit, Catherine R. Caño and Bernadette F. Tubo |
| Publication date | 2021 |
| Journal | Asia-Pacific Journal of Science, Mathematics and Engineering (APJSME) |
| Volume | 7 |
| Issue | 2 |
| Pages | 25-31 |
| Publisher | Office of the Vice Chancellor for Research and Enterprise, Mindanao State University-Iligan Institute of Technology (MSU-IIT) |
| Abstract | This paper explores the characteristics and properties of the Burr Type VI (BT4) distribution which is one among the many types of the continuous distributions in the Burr family. The BT4 distribution has two positive shape parameters, namely, k and c. It is usually defined by its cumulative density function given by: F_4 (x;k,c)=P(Xâ¤x)=[1+((c-x)/x)^(1/c) ]^(-k), where 0â¤xâ¤c, k>0 and -â<x<â. In this paper, the BT4 distributional properties like its probability density, survival and hazard functions are derived and illustrated graphically. Simulation study shows that varying the values of the two shape parameters will produce density plots which are: J-shaped, U-shaped and reversed-J-shaped, which are suitable and useful in modelling lifetime or survival data which follows the behavior or structure. |
| Index terms / Keywords | Burr family of distribution; probability distribution; shape parameter |
| URL | ISSN: 2244-5471 |