Abstract
This study proposes a two-parameter survival model based on the Kavya-Manoharan transformation family and the Rayleigh-inverted Weibull distribution, the so-called Kavya-Manoharan-Rayleigh inverted Weibull distribution (KMRIWD). Various reliability measures and statistical properties of this distribution are analyzed. The parameters of the distribution are estimated using the maximum likelihood method and different sampling techniques. Using Monte Carlo simulations, the performance of the estimators is evaluated and compared. Finally, the model and numerous competitors are compared using real data sets, and it is shown that the KMRIWD has a better fit than all the competitors.