In this paper, a new four-parameter (i.e. called the transmuted Topp-Leone power function (TTLPF) distribution) is proposed based on the transmuted Topp-Leone-G family. We derive moments, incomplete moments, probability weighted moments, quantile function, Bonferroni and Lorenz curves, and order statistics. The maximum likelihood and percentiles procedures are used to estimate the model parameters. A simulation study is carried out to evaluate and compare the performance of estimates in terms of their biases, standard errors and mean square errors. Eventually, we empirically prove the importance and flexibility of the new model in modeling two types of lifetime data.
Digital Object Identifier (DOI)
S. Hassan, Amal; Abdullah Khaleel, Mundher; and G. Nassr, Said
"Transmuted Topp-Leone Power Function Distribution: Theory and Application,"
Journal of Statistics Applications & Probability: Vol. 10:
1, Article 20.
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol10/iss1/20