The Modified Burr-III Distribution Properties, Estimation, Simulation, with Application on Real Data
DOI:
https://doi.org/10.62933/jszj8h23Keywords:
Burr III distribution, Odd Lomax-G, OLB-III, Order Statistics, MLEs, goodness criteriaAbstract
In this paper, a new modification of the Burr III distribution with a significantly improved functional form based on the Odd Lomax-G family is proposed, which is called the modified Odd Lomax Burr III distribution. This new modification has the ability to give the classical distribution high flexibility with the ability to model all Shapes of the hazard rate function including increasing, decreasing, bathtub, and inverted bathtub. Some of its primary properties are also presented, such as the moment function, the moment-generating function, the Quantile function, two-way skewness and Kurtosis, incomplete moments, ordered statistics, Rényi Entropy, in addition to the stress and strength functions in a clear and concise manner. In addition to estimating the model parameters using the maximum likelihood technique, least square, and Weighted Least Squares, also calculate the bias of the estimated parameters, Monte Carlo simulation is used to determine the bias. The effectiveness of the modified distribution was also confirmed by applying it to two types of real data consisting of complete and censored samples by making a comparison with some other distributions using a set of goodness criteria, which confirmed the superiority of the proposed model over other models through application on two types of real data.
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Copyright (c) 2025 Nooruldeen A. Noori, Mundher Abdullah khaleel, Dalya Dh. Ahmed (Author)
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