The Extended Erlang-Truncated Exponential Distribution: Properties and Application to Rainfall Data

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The Erlang-Truncated Exponential ETE distribution is modified and the new lifetime distribution is called the Extended Erlang-Truncated Exponential EETE distribution. Some statistical and reliability properties of the new distribution are given and the method of maximum likelihood estimate was proposed for estimating the model parameters. The usefulness and exibility of the EETE distribution was illustrated with an uncensored data set and its t was compared with that of the ETE and three other three-parameter distributions. Results based on the minimized log-likelihood (-^`), Akaike information criterion (AIC), Bayesian information criterion (BIC) and the generalized Cramér-von Mises W* statistics shows that the EETE distribution provides a more reasonable t than the one based on the other competing distributions.

Bibliographical metadata

Original languageEnglish
Early online date22 Jun 2017
StatePublished - 2017