Some Remarks on a Direct Calculation of Probabilities in Urn Schemes

Azam Imomov; Yorqin T. Khodjaev

doi:10.36753/mathenot.644261

EN

Some Remarks on a Direct Calculation of Probabilities in Urn Schemes

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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Azam Imomov ^*
0000-0003-1082-0144
Uzbekistan

Yorqin T. Khodjaev
Uzbekistan

Publication Date

March 20, 2020

Submission Date

November 8, 2019

Acceptance Date

March 23, 2020

Published in Issue

Year 2020 Volume: 8 Number: 1

DOI

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

IZ

https://izlik.org/JA56JJ39MA

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

1.Imomov A, Khodjaev YT. Some Remarks on a Direct Calculation of Probabilities in Urn Schemes. Math. Sci. Appl. E-Notes. 2020;8(1):177-184. doi:10.36753/mathenot.644261

Chicago

Imomov, Azam, and Yorqin T. Khodjaev. 2020. “Some Remarks on a Direct Calculation of Probabilities in Urn Schemes”. Mathematical Sciences and Applications E-Notes 8 (1): 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

[1]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, Mar. 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 1, 2020): 177-184. https://doi.org/10.36753/mathenot.644261.

JAMA

1.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, Mar. 2020, pp. 177-84, doi:10.36753/mathenot.644261.

Vancouver

1.Azam Imomov, Yorqin T. Khodjaev. Some Remarks on a Direct Calculation of Probabilities in Urn Schemes. Math. Sci. Appl. E-Notes. 2020 Mar. 1;8(1):177-84. doi:10.36753/mathenot.644261