**6.5 Robust Bayesian estimation for parameter for binomial distribution**

From Eq. (69) and by using the squared loss function, we get the robust Bayesian estimator for parameter (P) as follows [15]:

$$\mathbf{E}\left(\mathbf{p}/\mathbf{n}^{\mathrm{m}},\mathbf{y}^{\mathrm{m}}\right) = \hat{\mathbf{p}}\_{\mathrm{Rob}}$$

$$\hat{\mathbf{p}}\_{\mathrm{Rob}} = \frac{\mathbf{n}^{\mathrm{m}}\mathbf{y}^{\mathrm{m}}}{\mathbf{n}^{\mathrm{m}}\mathbf{y}^{\mathrm{m}} + \mathbf{n}^{\mathrm{m}}(\mathbf{1} - \mathbf{y}^{\mathrm{m}})} \tag{70}$$
