Abstract:
The quest to improve on flexibility of probability distributions motivated this research. Four-parameter
Janardan generalized distribution known as Kumaraswamy-Janardan distribution is proposed through method
of parameterization and studied. The probability density function, cumulative density function, survival rate
function as well as hazard rate function of the distribution are established. Statistical properties such as
moments, moment generating function as well as maximum likelihood of the model are discussed. The
parameters are estimated using the simulated annealing optimization algorithm. Flexibility of the model in
comparison with the baseline model as well as other competing sub-models is verified using Akaike
Information Criteria (AIC). The model is tested with real data and is proven to be more flexible in fitting real
data than any of its sub-models considered.
