A new discrete probability distribution with integer support on \((\infty ,-\infty)\). (English) Zbl 1338.62053
Summary: A new discrete probability distribution with integer support on \((\infty ,-\infty)\) is proposed as a discrete analog of the continuous logistic distribution. Some of its important distributional and reliability properties are established. Its relationship with some known distributions is discussed. Parameter estimation by maximum-likelihood method is presented. Simulation is done to investigate properties of maximum-likelihood estimators. Real life application of the proposed distribution as empirical model is considered by conducting a comparative data fitting with Skellam distribution, Kemp’s discrete normal, Roy’s discrete normal, and discrete Laplace distribution.
Keywords:
characterization; discrete Laplace distribution; discrete logistic distribution; discrete normal distribution; failure rate; model selection; survival functionSoftware:
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