Arithmetic, Geometric, Harmonic and Quadratic Unbiasedness in Estimation

Unbiasedness of the estimator has here been defined on the basis of geometric expectation, harmonic expectation & quadratic expectation, which are based on the concepts of geometric mean, harmonic mean and quadratic mean, respectively. Unbiased estimators, defined on the basis of these three, have been termed here as 'geometric unbiased, harmonic unbiased & quadratic unbiased respectively.