We propose a new discrete distribution namely the discrete weighted exponential (dWE) distribution. It is discretization of weighted exponential distribution. Some mathematical properties are presented such as the probability mass function, the distribution function, the survival function, the probability generating function, the moment generating function, the characteristic function, the hazard function, and the reversed hazard function. For parameter estimation, we calculate the estimates based on maximum likelihood method. Furthermore, we apply the dWE distribution in real datasets. In summary, the dWE distribution could be an alternative model for count data.
