Some Remarks on a Direct Calculation of Probabilities in Urn Schemes

Azam Imomov; Yorqin T. Khodjaev

doi:10.36753/mathenot.644261

Research Article

Some Remarks on a Direct Calculation of Probabilities in Urn Schemes

Year 2020, , 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, , 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	Articles
Authors	Azam Imomov 0000-0003-1082-0144 Yorqin T. Khodjaev This is me
Publication Date	March 20, 2020
Submission Date	November 8, 2019
Acceptance Date	March 23, 2020
Published in Issue	Year 2020

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 (March 2020), 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.