We consider a multicomponent load-sharing system in which the failure rate of a given component depends on the set of working components at any given time. Such systems can arise in software reliability models and in multivariate failure-time models in biostatistics, for example. A load-share rule dictates how stress or load is redistributed to the surviving components after a component fails within the system. In this paper, we assume the load share rule is unknown and derive methods for statistical inference on load-share parameters based on maximum likelihood. Components with (individual) constant failure rates are observed in two environments: (1) the system load is distributed evenly among the working components, and (2) we assume only the load for each working component increases when other components in the system fail. Tests for these special load-share models are investigated.

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The purpose of this study was to analyze the factors influencing performance of exercise behavior of middle-aged men with chronic disease by adding variables through literature to the Information–Motivation–Behavioral skill model. Subjects of this study are total 171 people belonging to exercise clubs. In the results of putting the control variable in the step-1 of the hierarchical regression analysis, the health condition, smoking, the number of exercises per week, and hours of each exercise were revealed as influence factors and showed 38.4% explanatory power on the performance of exercise behavior. In the results of putting the factors required for behavioral change in the step-2 analysis, the information for exercise, motivation for exercise, sport commitment, and perceived barriers to exercise were influence factors, showing 60.1% explanatory power on the performance of exercise behavior. In the results of putting the exercise self-efficacy of exercise behavioral skills in the step-3 analysis, it was revealed as an influence factor that showed 63.0% explanatory power. Regarding the influence on participants’ exercise behavior, the factors required for behavioral change and behavioral skill factors were relatively more important than the general characteristics. This study suggests application of IMBR model to the program for exercise behavior.

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