The Highest & Lowest Reliability Achievable with Redundancy

The Highest - Lowest Zero and otherAppli ations

The Highest-Lowest Zero and other Applications of Positivity

The first nontrivial zeroes of the Riemann ζ function are ≈ 1 2 ± 14.13472i. We investigate the question of whether or not any other Lfunction has a higher lowest zero. To do so we try to quantify the notion that the L-function of a “small” automorphic representation (i.e. one with small level and archimedean type) does not have small zeroes, and vice-versa. We prove that many types of automorp...

Nonparametric Predictive System Reliability with Redundancy Allocation

Coolen [1] presented lower and upper probabilities for prediction of Bernoulli random quantities, which have strong internal consistency properties within the theory of interval probability. These lower and upper probabilities followed from an assumed underlying latent variable model, with future outcomes of random quantities related to data by Hill’s assumption A(n) [3], and they are part of a...

Worlds Apart: Postcodes with the Highest and Lowest Poverty Rates in Today's Australia

This paper aims to add to existing research on poverty and regional diversity by exploring the extent of poverty in small regional areas. Poverty analysis on a regional basis has previously been severely hampered by a lack of suitable data. The unit record files from the Australian Bureau of Statistics (ABS) household expenditure and income surveys allow analysis at state and very broad regiona...

Species Redundancy and Ecosystem Reliability

The concept of species redundancy in ecosystem processes is troublesome because it appears to contradict the traditional emphasis in ecology on species singularity. When species richness is high, however, ecosystem processes seem clearly insensitive to considerable variation in biodiversity. Some elementary principles from reliability engineering, where engineered redundancy is a valued part of...