  Dombi et al. (2019) introduced a three parameter omega distribution and
showed that its asymptotic distribution is the Weibull model. We propose a new
record-based transmuted generalization of the unit omega distribution by
considering Balakrishnan and He (2021) approach. We call it the RTUOMG
distribution. We derive expressions for some statistical quantities, like,
probability density function, distribution, hazard function, quantile function,
moments, incomplete moments, inverted moments, moment generating function,
Lorenz curve, and Bonferroni curve of the proposed distribution. The numerical
values of various measures of central tendency and coefficient of skewness and
kurtosis are also presented. Concepts of stochastic ordering and some results
related to ordered statistics of the RTUOMG distribution are discussed. The
parameters of the RTUOMG distribution are estimated using five distinct
estimators. Additionally, the Monte Carlo simulations are performed to assess
the performance of these estimators. Finally, two real data sets are analyzed
to demonstrate the utility of the RTUOMG distribution.
