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The space-fractional Poisson process

Citations

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Cited by:

  1. M. Dhillon & K. K. Kataria, 2025. "On Multiparameter Generalized Counting Process and its Time-Changed Variants," Journal of Theoretical Probability, Springer, vol. 38(4), pages 1-23, December.
  2. A. Maheshwari & P. Vellaisamy, 2019. "Fractional Poisson Process Time-Changed by Lévy Subordinator and Its Inverse," Journal of Theoretical Probability, Springer, vol. 32(3), pages 1278-1305, September.
  3. K. K. Kataria & M. Khandakar, 2022. "Generalized Fractional Counting Process," Journal of Theoretical Probability, Springer, vol. 35(4), pages 2784-2805, December.
  4. Rohini Bhagwanrao Pote & Kuldeep Kumar Kataria, 2025. "On Erlang Queue with Multiple Arrivals and its Time-Changed Variant," Methodology and Computing in Applied Probability, Springer, vol. 27(3), pages 1-36, September.
  5. Shilpa Garg & Ashok Kumar Pathak & Aditya Maheshwari, 2025. "Tempered Space-Time Fractional Negative Binomial Process," Methodology and Computing in Applied Probability, Springer, vol. 27(2), pages 1-16, June.
  6. Ritik Soni & Ashok Kumar Pathak, 2024. "Generalized Iterated Poisson Process and Applications," Journal of Theoretical Probability, Springer, vol. 37(4), pages 3216-3245, November.
  7. Neha Gupta & Arun Kumar, 2023. "Fractional Poisson Processes of Order k and Beyond," Journal of Theoretical Probability, Springer, vol. 36(4), pages 2165-2191, December.
  8. M. Dhillon & K. K. Kataria, 2026. "Iterated Generalized Counting Process and its Extensions," Journal of Theoretical Probability, Springer, vol. 39(1), pages 1-42, March.
  9. Kataria, K.K. & Khandakar, M., 2022. "Extended eigenvalue–eigenvector method," Statistics & Probability Letters, Elsevier, vol. 183(C).
  10. K. K. Kataria & M. Khandakar, 2021. "On the Long-Range Dependence of Mixed Fractional Poisson Process," Journal of Theoretical Probability, Springer, vol. 34(3), pages 1607-1622, September.
  11. Beghin, Luisa & Macci, Claudio, 2022. "Non-central moderate deviations for compound fractional Poisson processes," Statistics & Probability Letters, Elsevier, vol. 185(C).
  12. Palaniappan Vellaisamy & Tomoyuki Ichiba, 2026. "A Unified Approach to Compound Poisson Process and its Time-Fractional Versions," Journal of Theoretical Probability, Springer, vol. 39(2), pages 1-43, June.
  13. Tapiero, Charles S. & Vallois, Pierre, 2016. "Fractional randomness," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1161-1177.
  14. Ritik Soni & Ashok Kumar Pathak, 2024. "Generalized Fractional Risk Process," Methodology and Computing in Applied Probability, Springer, vol. 26(4), pages 1-17, December.
  15. K. K. Kataria & M. Khandakar, 2024. "Fractional Skellam Process of Order k," Journal of Theoretical Probability, Springer, vol. 37(2), pages 1333-1356, June.
  16. Davide Cocco & Massimiliano Giona, 2021. "Generalized Counting Processes in a Stochastic Environment," Mathematics, MDPI, vol. 9(20), pages 1-19, October.
  17. Orsingher, Enzo & Polito, Federico, 2013. "On the integral of fractional Poisson processes," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1006-1017.
  18. Laskin, Nick, 2024. "A new approach to constructing probability distributions of fractional counting processes," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
  19. Maheshwari, Aditya, 2023. "Tempered space fractional negative binomial process," Statistics & Probability Letters, Elsevier, vol. 196(C).
  20. Roberto Garra & Enzo Orsingher & Federico Polito, 2018. "A Note on Hadamard Fractional Differential Equations with Varying Coefficients and Their Applications in Probability," Mathematics, MDPI, vol. 6(1), pages 1-10, January.
  21. Beghin, Luisa & Macci, Claudio, 2017. "Asymptotic results for a multivariate version of the alternative fractional Poisson process," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 260-268.
  22. K. K. Kataria & P. Vellaisamy, 2019. "On Distributions of Certain State-Dependent Fractional Point Processes," Journal of Theoretical Probability, Springer, vol. 32(3), pages 1554-1580, September.
  23. L. Beghin & P. Vellaisamy, 2018. "Space-Fractional Versions of the Negative Binomial and Polya-Type Processes," Methodology and Computing in Applied Probability, Springer, vol. 20(2), pages 463-485, June.
  24. Kataria, K.K. & Vellaisamy, P., 2017. "Saigo space–time fractional Poisson process via Adomian decomposition method," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 69-80.
  25. Nikolai Leonenko & Ely Merzbach, 2015. "Fractional Poisson Fields," Methodology and Computing in Applied Probability, Springer, vol. 17(1), pages 155-168, March.
  26. Beghin, Luisa & Macci, Claudio, 2013. "Large deviations for fractional Poisson processes," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1193-1202.
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