Applied Mathematics & Information Sciences

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A new discrete distribution with three parameters called the Discrete Extended Erlang-Truncated Exponential distribution (DEETE) is proposed by using the general approach of discretizing a continuous distribution while retaining its survival function. Some statistical properties of the DEETE, such as the quantile function, moments, moment generating function, Renyi entropy and order statistics, are studied. The maximum likelihood method is utilized to estimate the parameters of the model. Some special cases of DEETE distribution are derived. The proposed distribution is applied to two real-life count data sets and compared with some related discrete distributions. Moreover, DEETE is used to fit some data sets of COVID-19 deaths. The applications suggest that DEETE performs better than the related discrete distributions and better fits the COVID-19 deaths cases.

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