An Alternative Approach of Binomial and Multinomial Distributions
In this paper we have tried to present an alternative approach for two discrete distributions such as Binomial and Multinomial with a new concept of sampling having a more general form apart from the traditional methods of sampling. The existing distributions may be obtained as a special case of our...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer
2017-05-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25878531.pdf |
| _version_ | 1818043646510891008 |
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| author | Mian Arif Shams Adnan Md. Tareq Ferdous Khan Md. Forhad Hossain Abdullah Albalawi |
| author_facet | Mian Arif Shams Adnan Md. Tareq Ferdous Khan Md. Forhad Hossain Abdullah Albalawi |
| author_sort | Mian Arif Shams Adnan |
| collection | DOAJ |
| description | In this paper we have tried to present an alternative approach for two discrete distributions such as Binomial and Multinomial with a new concept of sampling having a more general form apart from the traditional methods of sampling. The existing distributions may be obtained as a special case of our newly suggested technique. The basic distributional properties of the proposed distributions are also been examined including the limiting form of the proposed Binomial distribution to normal distribution. |
| first_indexed | 2024-12-10T09:05:31Z |
| format | Article |
| id | doaj.art-8d97a4bf0ff14721b91aedfffb3a5d35 |
| institution | Directory Open Access Journal |
| issn | 1538-7887 |
| language | English |
| last_indexed | 2024-12-10T09:05:31Z |
| publishDate | 2017-05-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-8d97a4bf0ff14721b91aedfffb3a5d352022-12-22T01:55:09ZengSpringerJournal of Statistical Theory and Applications (JSTA)1538-78872017-05-0116210.2991/jsta.2017.16.2.11An Alternative Approach of Binomial and Multinomial DistributionsMian Arif Shams AdnanMd. Tareq Ferdous KhanMd. Forhad HossainAbdullah AlbalawiIn this paper we have tried to present an alternative approach for two discrete distributions such as Binomial and Multinomial with a new concept of sampling having a more general form apart from the traditional methods of sampling. The existing distributions may be obtained as a special case of our newly suggested technique. The basic distributional properties of the proposed distributions are also been examined including the limiting form of the proposed Binomial distribution to normal distribution.https://www.atlantis-press.com/article/25878531.pdfGeneralized Binomial DistributionGeneralized Multinomial DistributionSampling MethodsDistributional PropertiesArithmetic ProgressionLimiting Form. |
| spellingShingle | Mian Arif Shams Adnan Md. Tareq Ferdous Khan Md. Forhad Hossain Abdullah Albalawi An Alternative Approach of Binomial and Multinomial Distributions Journal of Statistical Theory and Applications (JSTA) Generalized Binomial Distribution Generalized Multinomial Distribution Sampling Methods Distributional Properties Arithmetic Progression Limiting Form. |
| title | An Alternative Approach of Binomial and Multinomial Distributions |
| title_full | An Alternative Approach of Binomial and Multinomial Distributions |
| title_fullStr | An Alternative Approach of Binomial and Multinomial Distributions |
| title_full_unstemmed | An Alternative Approach of Binomial and Multinomial Distributions |
| title_short | An Alternative Approach of Binomial and Multinomial Distributions |
| title_sort | alternative approach of binomial and multinomial distributions |
| topic | Generalized Binomial Distribution Generalized Multinomial Distribution Sampling Methods Distributional Properties Arithmetic Progression Limiting Form. |
| url | https://www.atlantis-press.com/article/25878531.pdf |
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