Estimating Burr XII Distribution Parameters Using Cross Entropy Method

Host Institution:

La Trobe University

Title of Seminar:

Estimating Burr XII Distribution Parameters Using Cross Entropy Method

Speaker's Name:

Dr. Babak Abbasi

Speaker's Institution:

RMIT University

Time and Date:

Friday 8 July at 11:00 am (AEST)

Seminar Abstract:

The Burr XII distribution can closely approximate many other well known probability density functions such as the normal, gamma, lognormal, exponential distributions as well as Pearson type I, II, V, VII, IX, X, XII families of distributions. Considering a wide range of shape and scale parameters of the Burr XII distribution, it can have an important role in reliability modeling, risk analysis and statistical process control. However, estimating parameters of the Burr XII distribution can be a complicated task and the use of conventional methods such as Maximum Likelihood Estimation (MLE) and Moment Method (MM) is not straightforward.

Some tables to estimate Burr XII parameters have been provided by Burr (1942) but they are not adequate for many purposes or data sets. In this presentation, We investigate the problems of estimating Burr XII parameters and develop a  Cross Entropy method in context of Maximum Likelihood Estimation (MLE) of Burr XII distribution for complete data or in presence of multiple censoring. A simulation study is conducted to assess the performance of the MLE via CE method for different parameter settings and sample sizes.

Seminar Convenor:

This email address is being protected from spambots. You need JavaScript enabled to view it.

AGR IT support:

This email address is being protected from spambots. You need JavaScript enabled to view it.