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Estimation Parameters for the Continuous q-Distributions

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Abstract

In this paper, we are basically interested in the issue of estimation parameters for continuous q-distributions. The parameters estimation and simulation studies of three classical continuous Lindley, gamma and exponential q-distributions are elaborated. For the parameters estimation problem the moment method is used. The effectiveness of the proposed models are highlighted through simulation studies for different q parameters values and samples sizes of the Lindley, gamma and exponential q-distributions.

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References

  • Mathai, A. M. (2005). A pathway to matrix-variate gamma and normal densities. Linear Algebra and Its Applications 396, 317–328.

    Article  MATH  Google Scholar 

  • Kupershmidt, B. A. (2000). Q-probability: I. Basic discrete distributions. J. Nonlinear Math. Phys. 7, 1, 73–93.

    Article  MATH  Google Scholar 

  • Lindley, D. V. (1958). Fiducial distributions and bayes’ theorem. Journal of the Royal Statistical Society, Series B (Methodological) 20, 15, 102–107.

    Article  MATH  Google Scholar 

  • Jackson, F. H. (1910). On a q-definite integrals. Q. J. Pure Appl. Math.41, 15, 193–203.

    MATH  Google Scholar 

  • Jackson, F. H. (1908). On a q-functions and a certain difference operator. Trans. R. Soc. Edinb . 46, 253–281.

    Article  Google Scholar 

  • Boutouria, I., Bouzida, I. and Masmoudi, A. (2018a). On Characterizing the Gamma and the Beta q-distributions. Bull. Korean Math. Soc. 55, 5, 1563–1575.

    MATH  Google Scholar 

  • Boutouria, I., Bouzida, I. and Masmoudi, M. (2018b). On Characterizing the Exponential q-Distribution. Bull. Malays. Math. Sci. Soc. 42, 3303–3322.

    MATH  Google Scholar 

  • Bouzida, I., Masmoudi, A. and Zitouni, M. (2020). Estimation parameters for the Binomial q-distribution. Commun. Stat. - Theory Methods. 0, 0, 1–13.

    MATH  Google Scholar 

  • Zitouni, M., Zribi, M. and Masmoudi, A. (2018). Asymptotic properties of the estimator for a finite mixture of exponential dispersion models. Filomat32, 19, 6575–6598.

    Article  MATH  Google Scholar 

  • Zitouni, M. (2020). The kumaraswamy-rani distribution and its applications. Journal of Biometrics and Biostatistics 11, 1, 1–4.

    Google Scholar 

  • Díaz, R. and Pariguan, E. (2007). An example of FeynmanJackson integral. J. Phys. A. 40, 1265–1272.

    Article  MATH  Google Scholar 

  • Díaz, R. and Pariguan, E. (2009). On the Gaussian q-distribution. J. Math. Anal. Appl. 358, 1–9.

    Article  MATH  Google Scholar 

  • Díaz, R. and Pariguan, E. (2010). On the k-gamma q-distribution. J. Math. cent. Eur. 8, 3, 448–458.

    Article  MATH  Google Scholar 

  • Gerhold, S. and Zeiner, M. (2010). Convergence properties of Kemp’s q-binomial distribution. Sankhya A. 72, 331–343.

    Article  MATH  Google Scholar 

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Acknowledgments

The author would like to record sincere gratitude to the editor and the anonymous referee for their interest in his research paper and the precious time devoted to the thorough reading of his manuscript.

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Authors and Affiliations

  1. College of education, Al Ain University Abu Dhabi, Campus P.O.Box:, 112612, Abu Dhabi, UAE

    Bouzida Imed

  2. Laboratory of Probability and Statistics, Sfax University, B.P. 1171, Sfax, Tunisia

    Zitouni Mouna

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  1. Bouzida Imed
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  2. Zitouni Mouna
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Correspondence to Bouzida Imed.

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Imed, B., Mouna, Z. Estimation Parameters for the Continuous q-Distributions. Sankhya A 85, 948–979 (2023). https://doi.org/10.1007/s13171-022-00284-5

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  • DOI: https://doi.org/10.1007/s13171-022-00284-5

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