[PDF][PDF] Transmuted Ailamujia distribution with applications to lifetime observations

AA Adetunji - Asian Journal of Probability and Statistics, 2023 - publish7promo.com
Asian Journal of Probability and Statistics, 2023publish7promo.com
Background of the Study: Quest to extend existing probability distributions to allow for more
flexibility in data modelling is never ending. Aims: This study extends the Ailamujia
distribution using quadratic transmutation map to propose a new 2-paramter lifetime
distribution. Methodology: Shapes of the density function and the hazard rate function of the
new propositions are obtained. Some mathematical properties of the new distribution are
also obtained. Results: Application of the distribution to four lifetime datasets reveals that the …
Background of the Study: Quest to extend existing probability distributions to allow for more flexibility in data modelling is never ending.
Aims
This study extends the Ailamujia distribution using quadratic transmutation map to propose a new 2-paramter lifetime distribution.
Methodology
Shapes of the density function and the hazard rate function of the new propositions are obtained. Some mathematical properties of the new distribution are also obtained.
Results
Application of the distribution to four lifetime datasets reveals that the distribution competes favourably with other related distributions.
Conclusion
The new distribution competes favourably with the existing distributions in data modelling.
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