,is paper introduces the new novel four-parameter Weibull distribution named as the Marshall–Olkin alpha power Weibull
(MOAPW) distribution. Some statistical properties of the distribution are examined. Based on Type-I censored and Type-II
censored samples, maximum likelihood estimation (MLE), maximum product spacing (MPS), and Bayesian estimation for the
MOAPW distribution parameters are discussed. Numerical analysis using real data sets and Monte Carlo simulation are accomplished to compare various estimation methods. ,is novel model’s supremacy upon some famous distributions is explained
using two real data sets and it is shown that the MOAPW model can achieve better fits than other competitive distributions.