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On Geometric Mean and Cumulative Residual Entropy for Two Random Variables with Lindley Type Distribution

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  • Marius Giuclea

    (Department of Applied Mathematics, Bucharest University of Economic Studies, Calea Dorobanţi, 15-17, 010552 Bucharest, Romania
    Institute of Solid Mechanics, Romanian Academy, 15 Constatin Mille, 010141 Bucharest, Romania)

  • Costin-Ciprian Popescu

    (Department of Applied Mathematics, Bucharest University of Economic Studies, Calea Dorobanţi, 15-17, 010552 Bucharest, Romania)

Abstract

In this paper, we focus on two generalizations of the Lindley distribution and investigate, for each one separately, some special properties related to the geometric mean ( G M ) and the cumulative residual entropy ( C R E ), both of them being of great importance from the theoretical as well as from the practical point of view.

Suggested Citation

  • Marius Giuclea & Costin-Ciprian Popescu, 2022. "On Geometric Mean and Cumulative Residual Entropy for Two Random Variables with Lindley Type Distribution," Mathematics, MDPI, vol. 10(9), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1499-:d:806905
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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. V. Zardasht & S. Parsi & M. Mousazadeh, 2015. "On empirical cumulative residual entropy and a goodness-of-fit test for exponentiality," Statistical Papers, Springer, vol. 56(3), pages 677-688, August.
    3. Ramajeyam Tharshan & Pushpakanthie Wijekoon, 2020. "A comparison study on a new five-parameter generalized Lindley distribution with its sub-models," Statistics in Transition New Series, Polish Statistical Association, vol. 21(2), pages 89-117, June.
    4. Thelwall, Mike, 2016. "The precision of the arithmetic mean, geometric mean and percentiles for citation data: An experimental simulation modelling approach," Journal of Informetrics, Elsevier, vol. 10(1), pages 110-123.
    5. 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.
    6. Richard M. Vogel, 2022. "The geometric mean?," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(1), pages 82-94, January.
    7. 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.
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    Cited by:

    1. Iulia-Elena Hirica & Cristina-Liliana Pripoae & Gabriel-Teodor Pripoae & Vasile Preda, 2022. "Lie Symmetries of the Nonlinear Fokker-Planck Equation Based on Weighted Kaniadakis Entropy," Mathematics, MDPI, vol. 10(15), pages 1-22, August.

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