Computational comparison for ML estimator of quadratic functions of the Bernoulli parameter in IS and FSS methods

In this paper, we suggest the maximum likelihood estimator (MLE) of the quadratic function p2 + βp (for different values of β) of the Bernoulli parameter, that is discussed for the inverse sampling (IS) and fixed size sampling (FSS) methods. Moreover, the IS method is compared with FSS method based on mean squared error (MSE). In consequence of MSE for MLE of the quadratic function p2 + βp in two sampling methods are complicated, so we also give a computational comparison of MSE for p2 + βp to assess the performance of two sampling methods by using numerical method.