Hi Sahil, you don’t need to find these estimated parameters. Since you are estimating them using Bayesian methods, you need to specify values of the prior distribution of your parameters (grey curve) and dynare will estimate the posterior distribution of the parameters (black curve). The value of the estimated parameter is the mean of the posterior distribution (dotted green line). You may want to read more on Bayesian statistics and inference.
The values you choose for the prior parameters (
INITVAL, LB, UB, PRIOR_SHAPE, PRIOR_P1 or PRIOR_MEAN, PRIOR_P2 or PRIOR_STANDARD_ERROR, PRIOR_P3, PRIOR_P4, JSCALE) depends on your beliefs about the parameter as a researcher. Read the dynare guide for an explanation of these prior parameters.
As for how to know which prior parameter values are appropriate, I suggest you read chapter 2 of Bayesian Estimation of DSGE Models (by Edward P. Herbst and Frank Schorfheide). It discusses how to choose prior parameters (
INITVAL, LB, UB, PRIOR_SHAPE, PRIOR_P1 or PRIOR_MEAN, PRIOR_P2 or PRIOR_STANDARD_ERROR, PRIOR_P3, PRIOR_P4, JSCALE), and also how to choose prior distributions (
beta_pdf, gamma_pdf, normal_pdf, uniform_pdf, inv_gamma_pdf, inv_gamma1_pdf, inv_gamma2_pdf). Maybe you may want to read other chapters too if really want to get into bayesian estimation. I hope this helps.