T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function
Joint Authors
Ekum, Matthew I.
Adamu, Muminu O.
Akarawak, Eno E.
Source
Journal of Probability and Statistics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-24
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Recently, different distributions have been generalized using the T-R {Y} framework but the possibility of using Dagum distribution has not been assessed.
The T-R {Y} combines three distributions, with one as a baseline distribution, with the strength of each distribution combined to produce greater effect on the new generated distribution.
The new generated distributions would have more parameters but would have high flexibility in handling bimodality in datasets and it is a weighted hazard function of the baseline distribution.
This paper therefore generalized the Dagum distribution using the quantile function of Lomax distribution.
A member of T-Dagum class of distribution called exponentiated-exponential-Dagum {Lomax} (EEDL) distribution was proposed.
The distribution will be useful in survival analysis and reliability studies.
Different characterizations of the distribution are derived, such as the asymptotes, stochastic ordering, stress-strength analysis, moment, Shannon entropy, and quantile function.
Simulated and real data are used and compared favourably with existing distributions in the literature.
American Psychological Association (APA)
Ekum, Matthew I.& Adamu, Muminu O.& Akarawak, Eno E.. 2020. T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function. Journal of Probability and Statistics،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1190165
Modern Language Association (MLA)
Ekum, Matthew I.…[et al.]. T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function. Journal of Probability and Statistics No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1190165
American Medical Association (AMA)
Ekum, Matthew I.& Adamu, Muminu O.& Akarawak, Eno E.. T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function. Journal of Probability and Statistics. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1190165
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190165