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Recently, providing a new count regression model is very popular for many researchers. These count regression models are constructed by using a new discrete distribution or one of the existing distributions in the literature. In this paper, we consider a new zero-inflated regression model as an alternative to the zero-inflated regression models. We present two real data applications to illustrate the usefulness of the suggested regression model in modeling data, and compare the competitor models such as Poisson, discrete Lindley, and zero-inflated regression models. We provide a new count regression model which is useful in modeling overdispersed data. [ABSTRACT FROM AUTHOR]

In this paper, a new lifetime distribution is introduced. Motivation is provided to obtain this distribution. The closed-form expressions of probability density and cumulative distribution functions are provided. Several distributional properties are obtained and the statistical inference are discussed on unknown parameters. The most important novelty of this study is to bring a lifetime regression analysis with the re-parameterized log-transform of the new distribution. [ABSTRACT FROM AUTHOR]