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Zero-Truncated Poisson-Garima Distribution and its Applications

Author

Listed:
  • Rama Shanker

    (Department of Statistics, Eritrea Institute of Technology, Eritrea)

  • Kamlesh Kumar Shukla

    (Department of Statistics, Eritrea Institute of Technology, Eritrea)

Abstract

In this paper, a zero-truncated Poisson-Garima distribution (ZTPGD) has been introduced by taking the zero-truncated version of Poisson-Garima distribution (PGD) of shanker [1]. The moments about origin and moments about mean, coefficients of variation, skewness and kurtosis, and index of dispersion of ZTPGD have been obtained. The method of moment and the method of maximum likelihood estimation have been discussed for estimating the parameter of ZTPGD. Goodness of fit of ZTPGD has been discussed with two real data sets and the fit has been compared with that of zero-truncated Poisson distribution (ZTPD) and zero-truncated Poisson-Lindley distribution (ZTPLD).

Suggested Citation

  • Rama Shanker & Kamlesh Kumar Shukla, 2017. "Zero-Truncated Poisson-Garima Distribution and its Applications," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 3(1), pages 14-19, September.
    • Handle: RePEc:adp:jbboaj:v:3:y:2017:i:1:p:14-19
    DOI: 10.19080/BBOAJ.2017.03.555605
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    References listed on IDEAS

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    1. M. E. Ghitany & D. K. Al-Mutairi, 2008. "Size-biased Poisson-Lindley distribution and its application," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 299-311.
    2. Ghitany, M.E. & Al-Mutairi, D.K. & Nadarajah, S., 2008. "Zero-truncated Poisson–Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 279-287.
    3. Ghitany, M.E. & Atieh, B. & Nadarajah, S., 2008. "Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 493-506.
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