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

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. Moment generating function, moments, entropies, and stress-strength models, among other structural features, were established. The order statistics with minimum and maximum were introduced, and the model parameters are derived using the maximum products of the spacings 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 revised distribution might be used as the optimal distribution for this data set.