This paper proposes a three-parameter weighted quasi Akash distribution (WQAD) which includes two-parameter weighted Akash, quasi Akash and gamma distributions and one parameter Akash distribution as special cases. Its raw moments and central moments have been obtained. The moment based measures including coefficient of variation, skewness, kurtosis and index of dispersion have been discussed. The statistical properties including hazard rate function, mean residual life function and stochastic ordering have been explained. Maximum likelihood estimation has been discussed for estimating the parameters of the distribution. Finally, applications of the distribution have been explained with three examples of observed real lifetime datasets from engineering.
- Quasi Akash distribution
- Statistical properties
- Maximum Likelihood estimation
- Goodness of fit