Truncated Exponential Log-Topp-Leon Generalized Family of Distributions: Properties and Application to Real Data sets
Keywords:
Truncated Exponential, Log topp-leone-G, Properties, Estimation, ApplicationAbstract
Modeling real-life data is still a major problem, especially in situations where the data does not follow a certain distribution. This issue still leaves a gap for the need to propose a new model, which is expected to address the attributes and behavior of real data. Based on this, a novel generalized family of distributions called "truncated exponential log Topp-Leone Generalized Families of Distributions" is introduced based on Topp-Leone distribution and truncated exponential distribution. Along with its features, the new generator's statistical qualities are examined. Also, the generator parameters and parameter vector of the baseline distribution were calculated with the maximum likelihood, goodness of fit (Cramer-Von-Mises), and least square techniques. We demonstrate how adaptable the suggested approach is by applying it to two data sets (waiting time data sets and Wheaton River flood data sets) and conclude that the TELTL-G outperforms other comparable distributions in terms of fit. In conclusion, we advise that this generator be used as a generalized family of distributions in modeling time failure.Downloads
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