Real-time systems are a set of programs, a scheduling policy and a system architecture, constrained by timing requirements. Most of daily embedded devices are real-time systems, e.g. airplanes, cars, trains, spatial probes, etc. The time required by a program for its end-to-end execution is called its response time. Usually, upper-bounds of response times are computed in order to provide safe deadline miss probabilities. In this paper, we propose a suited re-parametrization of the inverse Gaussian mixture distribution adapted to response times of real-time systems and the estimation of deadline miss probabilities. The parameters and their associated deadline miss probabilities are estimated with an adapted Expectation-Maximization algorithm.

翻译：实时系统是一套程序、时间安排政策和系统结构,受时间要求的限制,大多数日常嵌入装置是实时系统,例如飞机、汽车、火车、空间探测器等。一个程序在终端到终端执行所需的时间称为其响应时间。通常,为了提供安全的最后期限错失概率,会计算出上限反应时间。在本文件中,我们建议对高斯的反混合物分布进行适当的重新校正,以适应实时系统的反应时间和估计最后期限误差概率。参数及其相关的最后期限误差概率是经过调整的预期-最大概率算法估计的。