UNIT PROBABILITY DISTRIBUTIONS: A COMPREHENSIVE REVIEW OF MODELS, PROPERTIES, AND APPLICATIONS Article Swipe
Sule Omeiza Bashiru
,
Alhaji Modu Isa
,
Imran Ali
,
Kingsley Chinedu Arum
,
Henrietta Ebele Oranye
,
Tobias Ejiofor Ugah
,
Nkechi Grace Okoacha
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.33003/fjs-2025-0907-3699
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.33003/fjs-2025-0907-3699
Unit probability distributions defined on the standard interval (0, 1) serve as foundational tools for modeling data constrained within this bounded domain. Such data frequently emerge in disciplines where proportions, rates, and probabilities are analyzed, including economics, finance, hydrology, environmental sciences, biomedical research, and reliability engineering. Traditional models such as the Beta and Kumaraswamy distributions have long provided flexible frameworks for these applications. However, the increasing complexity of real-world phenomena has spurred the development of more versatile and specialized unit distributions. This article presents a comprehensive review of the literature on unit probability distributions, encompassing both classical models and recent innovations. Emphasis is placed on transformation techniques used to generate new families, key analytical properties, and a comparative evaluation of estimation methods. A diverse array of real-world applications is examined, highlighting the practical relevance and empirical performance of modern unit distributions across multiple domains. By synthesizing these developments, the review offers a structured resource to support further methodological advancement and informed model selection for bounded data analysis.
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- Type
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- Language
- en
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- https://fjs.fudutsinma.edu.ng/index.php/fjs/article/download/3699/2559
- OA Status
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- Related Works
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- OpenAlex ID
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UNIT PROBABILITY DISTRIBUTIONS: A COMPREHENSIVE REVIEW OF MODELS, PROPERTIES, AND APPLICATIONSWork title
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reviewOpenAlex work type
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enPrimary language
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2025Year of publication
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2025-07-15Full publication date if available
- Authors
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Sule Omeiza Bashiru, Alhaji Modu Isa, Imran Ali, Kingsley Chinedu Arum, Henrietta Ebele Oranye, Tobias Ejiofor Ugah, Nkechi Grace OkoachaList of authors in order
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https://doi.org/10.33003/fjs-2025-0907-3699Publisher landing page
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https://fjs.fudutsinma.edu.ng/index.php/fjs/article/download/3699/2559Direct 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://fjs.fudutsinma.edu.ng/index.php/fjs/article/download/3699/2559Direct OA link when available
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Unit (ring theory), Probability distribution, Computer science, Statistics, Mathematics, Mathematics educationTop concepts (fields/topics) attached by OpenAlex
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| abstract_inverted_index.classical | 96 |
| abstract_inverted_index.empirical | 135 |
| abstract_inverted_index.examined, | 129 |
| abstract_inverted_index.families, | 111 |
| abstract_inverted_index.including | 35 |
| abstract_inverted_index.phenomena | 69 |
| abstract_inverted_index.practical | 132 |
| abstract_inverted_index.relevance | 133 |
| abstract_inverted_index.research, | 42 |
| abstract_inverted_index.sciences, | 40 |
| abstract_inverted_index.selection | 162 |
| abstract_inverted_index.versatile | 76 |
| abstract_inverted_index.analytical | 113 |
| abstract_inverted_index.biomedical | 41 |
| abstract_inverted_index.complexity | 66 |
| abstract_inverted_index.economics, | 36 |
| abstract_inverted_index.estimation | 120 |
| abstract_inverted_index.evaluation | 118 |
| abstract_inverted_index.frameworks | 59 |
| abstract_inverted_index.frequently | 24 |
| abstract_inverted_index.hydrology, | 38 |
| abstract_inverted_index.increasing | 65 |
| abstract_inverted_index.literature | 89 |
| abstract_inverted_index.real-world | 68, 126 |
| abstract_inverted_index.structured | 152 |
| abstract_inverted_index.techniques | 106 |
| abstract_inverted_index.Kumaraswamy | 53 |
| abstract_inverted_index.Traditional | 46 |
| abstract_inverted_index.advancement | 158 |
| abstract_inverted_index.comparative | 117 |
| abstract_inverted_index.constrained | 17 |
| abstract_inverted_index.development | 73 |
| abstract_inverted_index.disciplines | 27 |
| abstract_inverted_index.performance | 136 |
| abstract_inverted_index.probability | 1, 92 |
| abstract_inverted_index.properties, | 114 |
| abstract_inverted_index.reliability | 44 |
| abstract_inverted_index.specialized | 78 |
| abstract_inverted_index.applications | 127 |
| abstract_inverted_index.encompassing | 94 |
| abstract_inverted_index.engineering. | 45 |
| abstract_inverted_index.foundational | 12 |
| abstract_inverted_index.highlighting | 130 |
| abstract_inverted_index.innovations. | 100 |
| abstract_inverted_index.proportions, | 29 |
| abstract_inverted_index.synthesizing | 145 |
| abstract_inverted_index.applications. | 62 |
| abstract_inverted_index.comprehensive | 85 |
| abstract_inverted_index.developments, | 147 |
| abstract_inverted_index.distributions | 2, 54, 140 |
| abstract_inverted_index.environmental | 39 |
| abstract_inverted_index.probabilities | 32 |
| abstract_inverted_index.distributions, | 93 |
| abstract_inverted_index.distributions. | 80 |
| abstract_inverted_index.methodological | 157 |
| abstract_inverted_index.transformation | 105 |
| cited_by_percentile_year | |
| corresponding_author_ids | https://openalex.org/A5053576307, https://openalex.org/A5092583723, https://openalex.org/A5100601538, https://openalex.org/A5035330604, https://openalex.org/A5022142920, https://openalex.org/A5055794873, https://openalex.org/A5062403549 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 7 |
| corresponding_institution_ids | https://openalex.org/I11892038, https://openalex.org/I4387154470, https://openalex.org/I64032852, https://openalex.org/I64351976 |
| citation_normalized_percentile.value | 0.2739437 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |