Transmuted Ailamujia Distribution with Applications to Lifetime Observations
A. A. Adetunji *
Department of Statistics, Federal Polytechnic, Ile-Oluji, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Ailamujia distribution, quadratic transmutation, lifetime observations, reliability functions, parameter estimation