The lifetimes X of a certain brand of component used in a machine can be modeled as

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The lifetimes X of a certain brand of component used in a machine can be modeled as a random variable with pdf f(x) = (1/θ)e–(x/θ). The reliability R(x) of the component is defined as R(x) = 1–F (x). Suppose X1, X2, . . ., Xn are the lifetimes of n components randomly selected and tested. Find the MLE of R(x).
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Mathematical Statistics With Applications In R

ISBN: 9780124171138

2nd Edition

Authors: Chris P. Tsokos, K.M. Ramachandran

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