  Observations of the temperature anisotropies in the Cosmic Microwave
Background (CMB) radiation show that the models of inflation with the monomial
potentials are inconsistent with the allowed $n_s-r$ bounds. However certain
monomial potentials of inflation are allowed in the context of \textit{Warm
Inflation}, where the inflaton's coupling with other fields are significant
both \textit{during and after} the inflationary phase. In our study, we
consider $\lambda\phi^4$ and $\lambda\phi^6$ models of warm inflation with
different forms of the inflaton dissipation coefficient. We parameterize the
primordial power spectrum in terms of the model parameters, namely, the
inflaton self coupling, $\lambda$, and the dissipation parameter, $Q_P$, due to
inflaton's interaction with the other fields. Then we obtain the joint and
marginal distributions of these parameters by carrying out a Markov Chain Monte
Carlo (MCMC) analysis using the {\tt CosmoMC} numerical code. An estimation of
these physical parameters is essential for model building. We also obtain the
$n_s$ and $r$ values for the mean values of the parameters and find them to be
consistent with the observational bounds, confirming that these simple models
are viable models for describing inflation.
