  Lomax distribution has been widely used in economics, business and actuarial
sciences. Due to its importance, we consider the statistical inference of this
model under joint type-II censoring scenario. In order to estimate the
parameters, we derive the Newton-Raphson(NR) procedure and we observe that most
of the times in the simulation NR algorithm does not converge. Consequently, we
make use of the expectation-maximization (EM) algorithm. Moreover, Bayesian
estimations are also provided based on squared error, linear-exponential and
generalized entropy loss functions together with the importance sampling method
due to the structure of posterior density function. In the sequel, we perform a
Monte Carlo simulation experiment to compare the performances of the listed
methods. Mean squared error values, averages of estimated values as well as
coverage probabilities and average interval lengths are considered to compare
the performances of different methods. The approximate confidence intervals,
bootstrap-p and bootstrap-t confidence intervals are computed for EM
estimations. Also, Bayesian coverage probabilities and credible intervals are
obtained. Finally, we consider the Bladder Cancer data to illustrate the
applicability of the methods covered in the paper.
