In this paper we extend an earlier worst case bound reliability theory to derive a worst case reliability function R(t), which gives the worst case probability of surviving a further time t given an estimate of residual defects in the software N and a prior test time T. The earlier theory and its extension are presented and the paper also considers the case where there is a low probability of a...

This paper is a sequel to a 2011 paper of mine in the same journal ("On continuous lifetime distributions with polynomial failure rate with an application in reliability They describe a new class of lifetime distributions applicable in Reliability Theory. The theory is illustrated by analysing a real failure data set. Two disparate fields (Reliability Theory and Computer Theory) are interlinked...

The theory of reliability and reliability estimates, nearly a century old, has rarely been employed in anthropology, both for lack of familiarity and related problems of computation. This theory is reviewed and considered for use with anthropological data. A set of procedures is provided which combine existing methods to solve the practical problems in use of the theory to assess the reliabilit...

This paper puts forward a reliability estimation method by the Degradation Amount Distribution (DAD) of products, using a composite time series modeling procedure and grey theory based on a random failure threshold. Product DAD data are treated as a composite time series and described using a composite time series model to predict a long-term trend of degradation. The degradation test is proces...