Formulas: replication error (test tolerance) assessment expressions

MIL-STD-810H, Environmental Engineering Considerations and Laboratory Tests

Last Updated 29 Oct 2026

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Formula 1

Since it is assumed that for $E_{ }$ the expectation operator on stochastic variables and $S=C-R$ , then $E\{S\}=E\{C-R\}=E\{C\}-R . E\left\{S_{A}\right\}=E\{\bar{S}\}=E\left\{\overline{(C-R)}\right\} \approx E\{\bar{C}-\bar{R}\}=E\{\bar{C}\}-\bar{R}=E\{\bar{C}\}-R_{A}=C_{A}-R_{A}$ .

S=C-R

Formula 2

E\{S\}=E\{C-R\}=E\{C\}-R . E\left\{S_{A}\right\}=E\{\bar{S}\}=E\left\{\overline{(C-R)}\right\} \approx E\{\bar{C}-\bar{R}\}=E\{\bar{C}\}-\bar{R}=E\{\bar{C}\}-R_{A}=C_{A}-R_{A}

Formula 3

In the expressions to follow, processing will take place over a uniform time interval $T=\left[T_{i+1}-T_{i}\right]$ .

T=\left[T_{i+1}-T_{i}\right]