Normal-Power-Logistic Distribution: Properties and Application in Generalized Linear Model Article Swipe
Matthew Iwada Ekum
,
M. O. Adamu
,
Eno Emmanuella Akarawak
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1007/s41096-022-00143-4
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1007/s41096-022-00143-4
The applications of Normal distribution in literature are verse, the new modified univariate normal power distribution is a new distribution which is adequate for modelling bimodal data. There are many data that would have been modelled by normal distribution, but because of their bimodality, they are not, since normal distribution is unimodal. In this paper, a new extension of the normal linear model called the normal-Power generalized linear model, derived from the T-Power Logistic framework is presented. The statistical properties of the distribution and the proposed model were derived such as quantiles, median, mode, robust skewness, robust kurtosis and moment. The maximum likelihood estimation method was considered to obtain the unknown model parameters. Three real data sets were analyzed to demonstrate the flexibility and usefulness of the proposed model. The new model would be very useful as alternative in cases where skewed or bimodal response variables, which are not well fitted with normal linear model.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/s41096-022-00143-4
- https://link.springer.com/content/pdf/10.1007/s41096-022-00143-4.pdf
- OA Status
- hybrid
- Cited By
- 8
- References
- 24
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4309777851
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4309777851Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1007/s41096-022-00143-4Digital Object Identifier
- Title
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Normal-Power-Logistic Distribution: Properties and Application in Generalized Linear ModelWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-11-19Full publication date if available
- Authors
-
Matthew Iwada Ekum, M. O. Adamu, Eno Emmanuella AkarawakList of authors in order
- Landing page
-
https://doi.org/10.1007/s41096-022-00143-4Publisher landing page
- PDF URL
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https://link.springer.com/content/pdf/10.1007/s41096-022-00143-4.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
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hybridOpen access status per OpenAlex
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https://link.springer.com/content/pdf/10.1007/s41096-022-00143-4.pdfDirect OA link when available
- Concepts
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Distribution (mathematics), Logistic distribution, Mathematics, Generalized normal distribution, Generalized linear model, Logistic regression, Power (physics), Statistics, Applied mathematics, Normal distribution, Mathematical analysis, Physics, ThermodynamicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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8Total citation count in OpenAlex
- Citations by year (recent)
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2025: 3, 2024: 2, 2023: 3Per-year citation counts (last 5 years)
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24Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W2884465017, https://openalex.org/W1966827292, https://openalex.org/W2067154937, https://openalex.org/W2498872126, https://openalex.org/W3038652485, https://openalex.org/W193160530, https://openalex.org/W2157230072, https://openalex.org/W2157462883, https://openalex.org/W3176745581, https://openalex.org/W3017844913, https://openalex.org/W2143902124, https://openalex.org/W2911773830, https://openalex.org/W2036209393, https://openalex.org/W2963531804, https://openalex.org/W2092287506, https://openalex.org/W4245667244, https://openalex.org/W3129097143, https://openalex.org/W2606915377, https://openalex.org/W3028833561, https://openalex.org/W2479844983, https://openalex.org/W1822873477, https://openalex.org/W2029645921, https://openalex.org/W2900191098, https://openalex.org/W2920051115 |
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