Record-based transmuted unit omega distribution: different methods of estimation and applications Article Swipe
Ashok Kumar Pathak
,
Mohd. Arshad
,
Alok Kumar Pandey
,
Alam Ali
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2405.07958
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2405.07958
Dombi et al. (2019) introduced a three parameter omega distribution and showed that its asymptotic distribution is the Weibull model. We propose a new record-based transmuted generalization of the unit omega distribution by considering Balakrishnan and He (2021) approach. We call it the RTUOMG distribution. We derive expressions for some statistical quantities, like, probability density function, distribution, hazard function, quantile function, moments, incomplete moments, inverted moments, moment generating function, Lorenz curve, and Bonferroni curve of the proposed distribution. The numerical values of various measures of central tendency and coefficient of skewness and kurtosis are also presented. Concepts of stochastic ordering and some results related to ordered statistics of the RTUOMG distribution are discussed. The parameters of the RTUOMG distribution are estimated using five distinct estimators. Additionally, the Monte Carlo simulations are performed to assess the performance of these estimators. Finally, two real data sets are analyzed to demonstrate the utility of the RTUOMG distribution.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2405.07958
- https://arxiv.org/pdf/2405.07958
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4396914163
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https://openalex.org/W4396914163Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2405.07958Digital Object Identifier
- Title
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Record-based transmuted unit omega distribution: different methods of estimation and applicationsWork title
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preprintOpenAlex work type
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enPrimary language
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2024Year of publication
- Publication date
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2024-05-13Full publication date if available
- Authors
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Ashok Kumar Pathak, Mohd. Arshad, Alok Kumar Pandey, Alam AliList of authors in order
- Landing page
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https://arxiv.org/abs/2405.07958Publisher landing page
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https://arxiv.org/pdf/2405.07958Direct link to full text PDF
- Open access
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2405.07958Direct OA link when available
- Concepts
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Omega, Unit (ring theory), Estimation, Statistics, Distribution (mathematics), Mathematics, Computer science, Economics, Philosophy, Mathematics education, Mathematical analysis, Management, LinguisticsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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