A Simple Wide Range Approximation of Symmetric Binomial Distribution
The paper gives a wide range, uniform, local approximation of symmetric binomial distribution. The result clearly shows how one has to modify the classical de Moivre–Laplace normal approximation in order to give an estimate at the tail as well as to minimize the relative error.
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/27/1/21 |
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| _version_ | 1832588542067343360 |
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| author | Tamás Szabados |
| author_facet | Tamás Szabados |
| author_sort | Tamás Szabados |
| collection | DOAJ |
| description | The paper gives a wide range, uniform, local approximation of symmetric binomial distribution. The result clearly shows how one has to modify the classical de Moivre–Laplace normal approximation in order to give an estimate at the tail as well as to minimize the relative error. |
| format | Article |
| id | doaj-art-3894a00e180a4036907d4abc5426aa38 |
| institution | Kabale University |
| issn | 1099-4300 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-3894a00e180a4036907d4abc5426aa382025-01-24T13:31:42ZengMDPI AGEntropy1099-43002024-12-012712110.3390/e27010021A Simple Wide Range Approximation of Symmetric Binomial DistributionTamás Szabados0Department of Stochastics, Institute of Mathematics, Budapest University of Technology and Economics, Muegyetem rkp. 3, H ep, 5 em, 1521 Budapest, HungaryThe paper gives a wide range, uniform, local approximation of symmetric binomial distribution. The result clearly shows how one has to modify the classical de Moivre–Laplace normal approximation in order to give an estimate at the tail as well as to minimize the relative error.https://www.mdpi.com/1099-4300/27/1/21wide rangeapproximationbinomial distribution |
| spellingShingle | Tamás Szabados A Simple Wide Range Approximation of Symmetric Binomial Distribution Entropy wide range approximation binomial distribution |
| title | A Simple Wide Range Approximation of Symmetric Binomial Distribution |
| title_full | A Simple Wide Range Approximation of Symmetric Binomial Distribution |
| title_fullStr | A Simple Wide Range Approximation of Symmetric Binomial Distribution |
| title_full_unstemmed | A Simple Wide Range Approximation of Symmetric Binomial Distribution |
| title_short | A Simple Wide Range Approximation of Symmetric Binomial Distribution |
| title_sort | simple wide range approximation of symmetric binomial distribution |
| topic | wide range approximation binomial distribution |
| url | https://www.mdpi.com/1099-4300/27/1/21 |
| work_keys_str_mv | AT tamasszabados asimplewiderangeapproximationofsymmetricbinomialdistribution AT tamasszabados simplewiderangeapproximationofsymmetricbinomialdistribution |