A Flexible Probability Model for Proportion Data: Unit Gumbel Type-II Distribution, Development, Properties, Different Method of Estimations and Applications Article Swipe
Anum Shafiq
,
Tabassum Naz Sindhu
,
Zawar Hussain
,
Josmar Mazucheli
,
Bruna Alves
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.17713/ajs.v52i2.1407
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.17713/ajs.v52i2.1407
In explaining and forecasting real life scenarios, statistical distributions are very helpful. It is very important to select the best fitting statistical distribution for modelling data. In analysis of real world phenomena like in reliability and economics, we may finddistributions for bounded data observed as percentages, proportions or fractions (see, for example, Marshall and Olkin (2007)). In this context, in view of pertinent transformation on the Gumbel Type-II model, we suggest and study the unit Gumbel Type-II (UG-TII)model and explore few of its statistical characteristics. We also consider various methods of estimating the unknown parameters of UG-TII model from the frequentist perspective. Monte Carlo simulations are worked out in order to compare efficiency of suggestedestimation methods for small as well as large samples. The efficiency of estimators is measured using simulated samples in terms of their bias and mean square error. In the end, two datasets have been examined in attempt to validate the realistic possibilities ofnew model. In comparison to the six severe competitors.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.17713/ajs.v52i2.1407
- https://www.ajs.or.at/index.php/ajs/article/download/1407/786
- OA Status
- diamond
- Cited By
- 28
- References
- 41
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4324099145
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- OpenAlex ID
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https://openalex.org/W4324099145Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.17713/ajs.v52i2.1407Digital Object Identifier
- Title
-
A Flexible Probability Model for Proportion Data: Unit Gumbel Type-II Distribution, Development, Properties, Different Method of Estimations and ApplicationsWork title
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-03-12Full publication date if available
- Authors
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Anum Shafiq, Tabassum Naz Sindhu, Zawar Hussain, Josmar Mazucheli, Bruna AlvesList of authors in order
- Landing page
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https://doi.org/10.17713/ajs.v52i2.1407Publisher landing page
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https://www.ajs.or.at/index.php/ajs/article/download/1407/786Direct link to full text PDF
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YesWhether a free full text is available
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-
diamondOpen access status per OpenAlex
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https://www.ajs.or.at/index.php/ajs/article/download/1407/786Direct OA link when available
- Concepts
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Gumbel distribution, Estimator, Frequentist inference, Mathematics, Statistics, Context (archaeology), Monte Carlo method, Transformation (genetics), Econometrics, Computer science, Extreme value theory, Bayesian probability, Bayesian inference, Paleontology, Gene, Chemistry, Biology, BiochemistryTop concepts (fields/topics) attached by OpenAlex
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28Total citation count in OpenAlex
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2025: 8, 2024: 19, 2023: 1Per-year citation counts (last 5 years)
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41Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W3135056216, https://openalex.org/W6650381011, https://openalex.org/W7071592772, https://openalex.org/W2008149271, https://openalex.org/W6607910233, https://openalex.org/W2598694153, https://openalex.org/W6634781086, https://openalex.org/W2094764829, https://openalex.org/W2113312317, https://openalex.org/W4283320625, https://openalex.org/W6791027796, https://openalex.org/W3153890396, https://openalex.org/W6765657330, https://openalex.org/W3135245197, https://openalex.org/W2743259293, https://openalex.org/W2971089215, https://openalex.org/W1989237447, https://openalex.org/W1982528061, https://openalex.org/W2592905339, https://openalex.org/W1978039195, https://openalex.org/W2582743722, https://openalex.org/W2496800853, https://openalex.org/W6668656008, https://openalex.org/W3094517763, https://openalex.org/W3113721704, https://openalex.org/W3102723784, https://openalex.org/W2808742638, https://openalex.org/W2006652113, https://openalex.org/W193160530, https://openalex.org/W4256068548, https://openalex.org/W4298927045, https://openalex.org/W1973429805, https://openalex.org/W4241763521, https://openalex.org/W2046262695, https://openalex.org/W4245913078, https://openalex.org/W1579369571, https://openalex.org/W2904177731, https://openalex.org/W3122896559, https://openalex.org/W2954461242, https://openalex.org/W2125697860, https://openalex.org/W2073911314 |
| referenced_works_count | 41 |
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| sustainable_development_goals[0].display_name | Decent work and economic growth |
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