I am asked to determine a distribution of the number of cycles a component is expected to do during its entire lifetime. What is do have now is a distribution of cycles the component makes per day.
I am not very familiar with component lifetime calculations. So what I am wondering is, can I simply multiply the number of cycles shown in the daily distibution by number of days in twenty years (7305)? This creates the distribution below.
I have the feeling that this will make an extreme case, for example the 99 percentile, even more extreme.
Another way might be to use the daily distribution and draw 7305 random samples and then sum up these random samples. I have done this a large number of times such that a gaussian distribution is created. But now the spread is way smaller than that of the distribution above.
Does anybody know what is the right way to go?