On the Bimodal Gumbel Model with Application to Environmental Data Article Swipe
Cira E. G. Otiniano
,
Roberto Vila
,
Pedro Brom
,
Marcelo Bourguignon
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.17713/ajs.v52i2.1392
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.17713/ajs.v52i2.1392
The Gumbel model is a very popular statistical model due to its wide applicability for instance in the course of certain survival, environmental, financial or reliability studies. In this work, we have introduced a bimodal generalization of the Gumbel distribution thatcan be an alternative to model bimodal data. We derive the analytical shapes of the corresponding probability density function and thehazard rate function and provide graphical illustrations. Furthermore, We have discussed the properties of this density such as mode, bimodality, moment generating function and moments. Our results were verified using the Markov chain Monte Carlo simulation method. The maximum likelihood method is used for parameters estimation. Finally, we also carry out an application to real data that demonstrates the usefulness of the proposed distribution.
Related Topics
Concepts
Gumbel distribution
Bimodality
Markov chain Monte Carlo
Moment (physics)
Applied mathematics
Probability density function
Generalization
Mathematics
Markov chain
Moment-generating function
Monte Carlo method
Method of moments (probability theory)
Function (biology)
Reliability (semiconductor)
Statistics
Statistical physics
Computer science
Algorithm
Mathematical optimization
Extreme value theory
Mathematical analysis
Estimator
Power (physics)
Physics
Biology
Galaxy
Classical mechanics
Evolutionary biology
Quantum mechanics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.17713/ajs.v52i2.1392
- https://www.ajs.or.at/index.php/ajs/article/download/1392/782
- OA Status
- diamond
- Cited By
- 6
- References
- 25
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3177092674
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3177092674Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.17713/ajs.v52i2.1392Digital Object Identifier
- Title
-
On the Bimodal Gumbel Model with Application to Environmental DataWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-03-12Full publication date if available
- Authors
-
Cira E. G. Otiniano, Roberto Vila, Pedro Brom, Marcelo BourguignonList of authors in order
- Landing page
-
https://doi.org/10.17713/ajs.v52i2.1392Publisher landing page
- PDF URL
-
https://www.ajs.or.at/index.php/ajs/article/download/1392/782Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
-
https://www.ajs.or.at/index.php/ajs/article/download/1392/782Direct OA link when available
- Concepts
-
Gumbel distribution, Bimodality, Markov chain Monte Carlo, Moment (physics), Applied mathematics, Probability density function, Generalization, Mathematics, Markov chain, Moment-generating function, Monte Carlo method, Method of moments (probability theory), Function (biology), Reliability (semiconductor), Statistics, Statistical physics, Computer science, Algorithm, Mathematical optimization, Extreme value theory, Mathematical analysis, Estimator, Power (physics), Physics, Biology, Galaxy, Classical mechanics, Evolutionary biology, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
6Total citation count in OpenAlex
- Citations by year (recent)
-
2024: 2, 2023: 4Per-year citation counts (last 5 years)
- References (count)
-
25Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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