Size biased Multinomial Modelling of detection data in Software testing

Estimation of software reliability often poses a considerable challenge, particularly for critical softwares. Several methods of estimation of reliability of software are already available in the literature. But, so far almost nobody used the concept of size of a bug for estimating software reliability. In this article we make used of the bug size or the eventual bug size which helps us to determine reliability of software more precisely. The size-biased model developed here can also be used for similar fields like hydrocarbon exploration. The model has been validated through simulation and subsequently used for a critical space application software testing data. The estimated results match the actual observations to a large extent.