THE PARALOGISTIC-CHEN DISTRIBUTION

THE PARALOGISTIC-CHEN DISTRIBUTION: MODEL, PROPERTIES AND APPLICATIONS

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Abstract
This study focuses on the development of continuous lifetime distribution to model real life data sets. One approach to creating new distributions is the T-X (Tranformer- Transformed) method, which involves either adding a number of parameters to an existing distribution, raising a distribution to a power or combining existing distributions. In this study, the Paralogistic-Chen distribution is generated using the T-X (Transformer- Transformed) method of obtaining distributions. This involves a combination of the paralogistic and the Chen distributions. Some of the properties of the Paralogistic-Chen distribution are considered in this study and the application of the distribution will be considered to show how well the distribution fits the data and the Maximum Likelihood Estimation (MLE) is used to obtain the parameters of the distribution.
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