Computational Probability by John H. Drew Diane L. Evans Andrew G. Glen & Lawrence M. Leemis

Author:John H. Drew, Diane L. Evans, Andrew G. Glen & Lawrence M. Leemis
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

The discrete CDF [that approximates the unknown, but true continuous CDF F S (t)] is

It is this CDF that is the fully enumerated bootstrapped distribution of the system. We will show that such bootstrapped systems have bias resulting from taking minimums and maximums of discrete random variables.

Fig. 10.3Block diagram of a series arrangement of parallel subsystems

We use the following notation in the section: X

A continuous random variable with PDF f X (t) and CDF F X (t) that represents a component lifetime.

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