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Verification of Birthday Paradox
Yogesh R Yewale1
Section:Research Paper, Product Type: Isroset-Journal
Vol.6 ,
Issue.3 , pp.97-99, Jun-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i3.9799
Online published on Jun 30, 2019
Copyright © Yogesh R Yewale . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Yogesh R Yewale, “Verification of Birthday Paradox,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.3, pp.97-99, 2019.
MLA Style Citation: Yogesh R Yewale "Verification of Birthday Paradox." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.3 (2019): 97-99.
APA Style Citation: Yogesh R Yewale, (2019). Verification of Birthday Paradox. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(3), 97-99.
BibTex Style Citation:
@article{Yewale_2019,
author = {Yogesh R Yewale},
title = {Verification of Birthday Paradox},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2019},
volume = {6},
Issue = {3},
month = {6},
year = {2019},
issn = {2347-2693},
pages = {97-99},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1330},
doi = {https://doi.org/10.26438/ijcse/v6i3.9799}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i3.9799}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1330
TI - Verification of Birthday Paradox
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Yogesh R Yewale
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 97-99
IS - 3
VL - 6
SN - 2347-2693
ER -
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Abstract :
Birthday problem is one of the famous problem in the probability theory. It is also known as birthday paradox in some literature. In this paper attempt has been made to discuss the verification of the birthday paradox by collecting real life data. Birthdates of one thousand individuals are considered for this study. These individuals are divided into the various groups of size n. In each group matching pairs of birthdates were observed and the number of groups with matched pairs of birthdates were counted. This procedure is then repeated for different values of group size n. Chi-square test of goodness of fit is used to decide whether the discrepancies between the observed and expected values of the number of groups with matched birthdates is insignificant or not. It is found that the discrepancies between observed and expected values of the number of matched pairs is insignificant at 5% level of significance, which verifies the statement of the birthday paradox.
Key-Words / Index Term :
Birthday paradox, Chisquare test of goodness of fit
References :
[1] J. M. Johnson, “THE BIRTHDAY PROBLEM EXPLAINED,” Math. Teach., vol. 90, no. 1, pp. 20–22, 1997.
[2] K. R. Rebman, “The Pigeonhole Principle ( What It Is , How It Works , and How It Applies to Map Coloring ),” Two-Year Coll. Math. J., vol. 10, no. 1, pp. 3–13, 1979.
[3] J. D. Austin, “The birthday problem revisited,” Two-Year Coll. Math. J., vol. 7, no. 4, pp. 39–42, 1976.
[4] K. S. Jones, “The Birthday Problem Again ?,” Math. Teach., vol. 86, no. 5, pp. 373–377, 1993.
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