Page 80 - programme book

ST-011
New Extended Burr Type X Distribution: Model, Theory and Applications

Oh, Yit Leng 1, a) , Lim Fong Peng 2, b) , Chen Chuei Yee 2, c) , Wendy Ling Shin yie 2, d) , and Loh
Yue Fang 3, e)

1 Faculty of Business, Multimedia University, 75450 Melaka, Malaysia.
2 Department of Mathematics, Faculty of Science, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia.
3 Faculty of Business and Management, UCSI University, 56000 Kuala Lumpur, Malaysia.

a) yloh@mmu.edu.my
b) Corresponding author: fongpeng@upm.edu.my
c) cychen@upm.edu.my
d) sy_ling@upm.edu.my
e) lohyf@ucsiuniversity.edu.my

Abstract. Burr type X distribution is one of the popular distributions used in survival analysis. Many
attempts have been made to increase its flexibility through the formation of new distributions by using
Burr type X as the baseline distribution. This study introduces a new extended Burr type X distribution:
exponentiated Beta Burr type X distribution (EBBX). We derive its statistical properties including
quantile function, moments, moment generating function, and order statistics. We estimate the model
parameters by using the maximum likelihood approach. We then proceed to conduct a simulation study
with varying sample sizes and parameters values for accessing the performance of the proposed model.
We illustrate the flexibility of the proposed distribution and its sub-models through a real data set of
aircraft windshields. The results show that EBBX distribution can be used to model unimodal, bathtub,
increasing, and decreasing hazard functions.

Keywords: Burr type X, exponentiated, beta generalized, bathtub hazard function,

78