Stochastic Orders in Reliability and Risk: In Honor of Professor Moshe Shaked

Description

Stochastic Orders in Reliability and Risk Management is composed of 19 contributions on the theory of stochastic orders, stochastic comparison of order statistics, stochastic orders in reliability and risk analysis, and applications. These review/exploratory chapters present recent and current research on stochastic orders reported at the International Workshop on Stochastic Orders in Reliability and Risk Management, or SORR2011, which took place in the City Hotel, Xiamen, China, from June 27 to June 29, 2011. The conference’s talks and invited contributions also represent the celebration of Professor Moshe Shaked, who has made comprehensive, fundamental contributions to the theory of stochastic orders and its applications in reliability, queueing modeling, operations research, economics and risk analysis. This volume is in honor of Professor Moshe Shaked. The work presented in this volume represents active research on stochastic orders and multivariate dependence, and exemplifies close collaborations between scholars working in different fields. The Xiamen Workshop and this volume seek to revive the community workshop tradition on stochastic orders and dependence and strengthen research collaboration, while honoring the work of a distinguished scholar. Front Matter....Pages i-xxxi Front Matter....Pages 1-1 A Global Dependence Stochastic Order Based on the Presence of Noise....Pages 3-39 Duality Theory and Transfers for Stochastic Order Relations....Pages 41-57 Reversing Conditional Orderings....Pages 59-80 Front Matter....Pages 81-81 Multivariate Comparisons of Ordered Data....Pages 83-102 Sample Spacings with Applications in Multiple-Outlier Models....Pages 103-123 Sample Range of Two Heterogeneous Exponential Variables....Pages 125-139 Front Matter....Pages 141-141 On Bivariate Signatures for Systems with Independent Modules....Pages 143-166 Stochastic Comparisons of Cumulative Entropies....Pages 167-182 Decreasing Percentile Residual Life: Properties and Estimation....Pages 183-197 A Review on Convolutions of Gamma Random Variables....Pages 199-217 On Used Systems and Systems with Used Components....Pages 219-233 On Allocation of Active Redundancies to Systems: A Brief Review....Pages 235-254 Front Matter....Pages 255-255 Dynamic Risk Measures within Discrete-Time Risk Models....Pages 257-272 Excess Wealth Transform with Applications....Pages 273-288 Front Matter....Pages 289-289 Intermediate Tail Dependence: A Review and Some New Results....Pages 291-311 Second-Order Conditions of Regular Variation and Drees-Type Inequalities....Pages 313-330 Individual and Moving Ratio Charts for Weibull Processes....Pages 331-350 On a Slow Server Problem....Pages 351-361 Dependence Comparison of Multivariate Extremes via Stochastic Tail Orders....Pages 363-387 Back Matter....Pages 389-442