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A new discrete probability distribution with integer support on (−∞, ∞)

Author

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  • Subrata Chakraborty
  • Dhrubajyoti Chakravarty

Abstract

A new discrete probability distribution with integer support on (−∞, ∞) 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.

Suggested Citation

  • Subrata Chakraborty & Dhrubajyoti Chakravarty, 2016. "A new discrete probability distribution with integer support on (−∞, ∞)," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(2), pages 492-505, January.
  • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:2:p:492-505
    DOI: 10.1080/03610926.2013.830743
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    Cited by:

    1. Sugata Ghosh & Subhajit Dutta & Marc G. Genton, 2017. "A note on inconsistent families of discrete multivariate distributions," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-13, December.
    2. Josmar Mazucheli & Wesley Bertoli & Ricardo P. Oliveira & André F. B. Menezes, 2020. "On the Discrete Quasi Xgamma Distribution," Methodology and Computing in Applied Probability, Springer, vol. 22(2), pages 747-775, June.

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