Error Propagation Using Extended Unscented Transformation Technique in Micro-correlation Method for Covariance Analysis of Efficiency of a HPGe Detector

In this paper, an extension of the unscented transformation (UT) technique namely, the extended unscented transformation technique (EUT) is applied, for the first time, for determination of the partial errors in each of the attributes in the efficiency of High Purity Germanium (HPGe) detector. The partial errors are then propagated using the micro-correlation method of Geraldo and Smith, 1990 in order to determine the mean and covariance matrix of efficiency of HPGe detector using a standard 152Eu gamma-ray source, for an experiment performed at Purnima reactor, Bhabha Atomic Research Centre (BARC), Mumbai. It is found that applying EUT technique for the generation and use of covariance matrix in nuclear data is relatively simpler and can be extended easily to any number of attributes as the procedure involved is the same, irrespective of the number of attributes.