T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function

T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function

Blog Article

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 Kid T-Shirt 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 Suspension Trainer distributions in the literature.