Transformed Log-Burr III Distribution: Structural Features and Application to Milk Production

Abstract

The Burr III distribution is extended in this work as a substitute for the numerous Burr III distributions. A new distribution is developed by applying the log transformation technique to define the transformed log-Burr III distribution. Moments and quantile function are the structural features established in this study. The model parameters are derived using the maximum likelihood technique. The applicability of the new distribution was assessed using real-world data on the transformed total milk production in the first birth of 107 cows of the SINDI race. The results showed that the proposed distribution might be used as the optimal distribution for this dataset.

Keywords

• Burr III distribution
• failure rate
• moments
• quantile function
• transformed log-Burr III distribution