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Some Remarks on a Direct Calculation of Probabilities in Urn Schemes

Year 2020, Volume: 8 Issue: 1, 177 - 184, 20.03.2020

Azam Imomov , Yorqin T. Khodjaev

https://doi.org/10.36753/mathenot.644261

Abstract

The paper considers urn schemes in which several urns can be involved. Simplified formulas are proposed
that allow direct calculation of probabilities without the use of elements combinatorics.

Keywords

urn urn schemes binomial coefficients

References

  • [1] Bingham N. H., Fluctuation Theory for the Ehrenfest Urn. Advances in Applied Probability. 23(1991), no. 3, 598–611.[2] Johnson N. L. and Kotz S., Urn models and their application. John Wiley and Sons Inc, New York, USA, 1985.[3] Mahmoud H. M., Pólya urn models. CRC Press, Boca Raton, USA, 2009.

Year 2020, Volume: 8 Issue: 1, 177 - 184, 20.03.2020

Azam Imomov , Yorqin T. Khodjaev

https://doi.org/10.36753/mathenot.644261

Abstract

References

  • [1] Bingham N. H., Fluctuation Theory for the Ehrenfest Urn. Advances in Applied Probability. 23(1991), no. 3, 598–611.[2] Johnson N. L. and Kotz S., Urn models and their application. John Wiley and Sons Inc, New York, USA, 1985.[3] Mahmoud H. M., Pólya urn models. CRC Press, Boca Raton, USA, 2009.
There are 1 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Azam Imomov 0000-0003-1082-0144

Yorqin T. Khodjaev

Submission Date November 8, 2019
Acceptance Date March 23, 2020
Publication Date March 20, 2020
Published in Issue Year 2020 Volume: 8 Issue: 1

Cite

APA Imomov, A., & Khodjaev, Y. T. (2020). Some Remarks on a Direct Calculation of Probabilities in Urn Schemes. Mathematical Sciences and Applications E-Notes, 8(1), 177-184. https://doi.org/10.36753/mathenot.644261
AMA Imomov A, Khodjaev YT. Some Remarks on a Direct Calculation of Probabilities in Urn Schemes. Math. Sci. Appl. E-Notes. March 2020;8(1):177-184. doi:10.36753/mathenot.644261
Chicago Imomov, Azam, and Yorqin T. Khodjaev. “Some Remarks on a Direct Calculation of Probabilities in Urn Schemes”. Mathematical Sciences and Applications E-Notes 8, no. 1 (March 2020): 177-84. https://doi.org/10.36753/mathenot.644261.
EndNote Imomov A, Khodjaev YT (March 1, 2020) Some Remarks on a Direct Calculation of Probabilities in Urn Schemes. Mathematical Sciences and Applications E-Notes 8 1 177–184.
IEEE A. Imomov and Y. T. Khodjaev, “Some Remarks on a Direct Calculation of Probabilities in Urn Schemes”, Math. Sci. Appl. E-Notes, vol. 8, no. 1, pp. 177–184, 2020, doi: 10.36753/mathenot.644261.
ISNAD Imomov, Azam - Khodjaev, Yorqin T. “Some Remarks on a Direct Calculation of Probabilities in Urn Schemes”. Mathematical Sciences and Applications E-Notes 8/1 (March2020), 177-184. https://doi.org/10.36753/mathenot.644261.
JAMA Imomov A, Khodjaev YT. Some Remarks on a Direct Calculation of Probabilities in Urn Schemes. Math. Sci. Appl. E-Notes. 2020;8:177–184.
MLA Imomov, Azam and Yorqin T. Khodjaev. “Some Remarks on a Direct Calculation of Probabilities in Urn Schemes”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, 2020, pp. 177-84, doi:10.36753/mathenot.644261.
Vancouver Imomov A, Khodjaev YT. Some Remarks on a Direct Calculation of Probabilities in Urn Schemes. Math. Sci. Appl. E-Notes. 2020;8(1):177-84.

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