Analysis of Step-Stress Models


Book Description

Analysis of Step-Stress Models: Existing Results and Some Recent Developments describes, in detail, the step-stress models and related topics that have received significant attention in the last few years. Although two books, Bagdonavicius and Nikulin (2001) and Nelson (1990), on general accelerated life testing models are available, no specific book is available on step-stress models. Due to the importance of this particular topic, Balakrishnan (2009) provided an excellent review for exponential step-stress models. The scope of this book is much more, providing the inferential issues for different probability models, both from the frequentist and Bayesian points-of-view. Explains the different distributions of the Cumulative Exposure Mode Covers many different models used for step-stress analysis Discusses Step-stress life testing under the competing or complementary risk model










Advances in Statistics - Theory and Applications


Book Description

This edited collection brings together internationally recognized experts in a range of areas of statistical science to honor the contributions of the distinguished statistician, Barry C. Arnold. A pioneering scholar and professor of statistics at the University of California, Riverside, Dr. Arnold has made exceptional advancements in different areas of probability, statistics, and biostatistics, especially in the areas of distribution theory, order statistics, and statistical inference. As a tribute to his work, this book presents novel developments in the field, as well as practical applications and potential future directions in research and industry. It will be of interest to graduate students and researchers in probability, statistics, and biostatistics, as well as practitioners and technicians in the social sciences, economics, engineering, and medical sciences.







The Art of Progressive Censoring


Book Description

This book offers a thorough and updated guide to the theory and methods of progressive censoring, an area that has experienced tremendous growth over the last decade. The theory has developed quite nicely in some special cases having practical applications to reliability and quality. The Art of Progressive Censoring is a valuable reference for graduate students, researchers, and practitioners in applied statistics, quality control, life testing, and reliability. With its accessible style and concrete examples, the work may also be used as a textbook in an advanced undergraduate or a beginning graduate course on censoring or progressive censoring, as well as a supplementary textbook for a course on ordered data.




Hazard Rate Modeling of Step-Stress Experiments


Book Description

Step-stress models form an essential part of accelerated life testing procedures. Under a step-stress model, the test units are exposed to stress levels that increase at intermediate time points of the experiment. The goal is to develop statistical inference for, e.g., the mean lifetime under each stress level, targeting to the extrapolation under normal operating conditions. This is achieved through an appropriate link function that connects the stress level to the associated mean lifetime. The assumptions made about the time points of stress level change, the termination point of the experiment, the underlying lifetime distributions, the type of censoring (if present), and the way of monitoring lead to alternative models. Step-stress models can be designed for single or multiple samples. We discuss recent developments in designing and analyzing step-stress models based on hazard rates. The inference approach adopted is mainly the maximum likelihood, but Bayesian approaches are briefly discussed.




A First Course in Order Statistics


Book Description

This updated classic text will aid readers in understanding much of the current literature on order statistics: a flourishing field of study that is essential for any practising statistician and a vital part of the training for students in statistics. Written in a simple style that requires no advanced mathematical or statistical background, the book introduces the general theory of order statistics and their applications. The book covers topics such as distribution theory for order statistics from continuous and discrete populations, moment relations, bounds and approximations, order statistics in statistical inference and characterisation results, and basic asymptotic theory. There is also a short introduction to record values and related statistics. The authors have updated the text with suggestions for further reading that may be used for self-study. Written for advanced undergraduate and graduate students in statistics and mathematics, practising statisticians, engineers, climatologists, economists, and biologists.




Finite Element Modeling for Stress Analysis


Book Description

This undergraduate text is designed for those who will use finite elements in their daily work. It emphasizes the behaviour of finite elements, and describes how to use the methods successfully while including enough theory to explain why elements behave as they do.




The Stress Effect


Book Description

Reveals the powerful and undermining effects of stress on good decision making-and what leaders can do about it The ability to make sound and timely decisions is the mark of a good leader. But when leaders with otherwise strong track records suddenly begin making poor decisions-as seen in the recent corporate scandals that rocked the business world-the impact can be widespread. In The Stress Effect, leadership expert Henry L. Thompson argues that stress is often the real culprit behind this leadership failure: when leaders' stress levels become sufficiently elevated-whether in the boardroom or on the front line of a manufacturing process-their ability to effectively use their emotional intelligence and cognitive ability in tandem to make wise decisions is significantly impaired. Until now, experts have argued that increasing your emotional intelligence will help you cope with and manage stress. This book suggests that stress actually blocks access to your emotional intelligence as well as your cognitive ability, two critical components in the decision-making process. This book Shows how stress adversely affects the performance of even the most savvy leaders Reveals the truth about one of the prime factors behind the current failure of leadership Offers a solid prescription for building a "stress resilient system" and arms leaders with best practices for managing specific stressors that take the biggest toll on decision making Is written by an award-winning organizational psychologist and leadership consultant whose clients include a roster of Fortune 500 companies A groundbreaking and insightful resource for leaders, The Stress Effect reopens the dialogue on stress, its effect on decision making, and what to do about it.