The Singh-Maddala distribution is very popular to analyze the data on income,
expenditure, actuarial, environmental, and reliability related studies.
To enhance its scope and application, we propose four parameters transmuted
Singh-Maddala distribution, in this study. The proposed distribution
is relatively more flexible than the parent distribution to model a variety of
data sets. Its basic statistical properties, reliability function, and behaviors
of the hazard function are derived. The hazard function showed the decreasing
and an upside-down bathtub shape that is required in various survival
analysis. The order statistics and generalized TL-moments with their special
cases such as L-, TL-, LL-, and LH-moments are also explored. Furthermore,
the maximum likelihood estimation is used to estimate the unknown parameters
of the transmuted Singh-Maddala distribution. The real data sets are
considered to illustrate the utility and potential of the proposed model. The
results indicate that the transmuted Singh-Maddala distribution models the
datasets better than its parent distribution.