Formulas: DFL – Upper Distribution-Free Tolerance Limit

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

Last Updated 29 Oct 2026

Hover any section to copy its link or text, ask Copilot about it, or bookmark it.

Formula 1

D F L(N, \beta, \gamma)=x_{\max } ; \gamma=1-\beta^{N}

(1) Given $N$ and assuming a value of $\beta, 0 \leq \beta \leq 1$ , the confidence coefficient can be determined.

\beta, 0 \leq \beta \leq 1

$D F L(N, \beta, \gamma)$ may not be meaningful for small samples of data, $N \leq 13$ , and comparatively large $\beta$ , $\beta>.95$ .

N \leq 13

\beta>.95

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

Last Updated 29 Oct 2026

Hover any section to copy its link or text, ask Copilot about it, or bookmark it.

D F L(N, \beta, \gamma)=x_{\max } ; \gamma=1-\beta^{N}

(1) Given $N$ and assuming a value of $\beta, 0 \leq \beta \leq 1$ , the confidence coefficient can be determined.

\beta, 0 \leq \beta \leq 1

$D F L(N, \beta, \gamma)$ may not be meaningful for small samples of data, $N \leq 13$ , and comparatively large $\beta$ , $\beta>.95$ .

N \leq 13

\beta>.95