RAM Commander User Manual

Reliability Distributions

Reliability Distributions

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Reliability Distributions

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The following table lists the probability distributions and associated reliability functions used in computing reliability of a single RBD block.

Distribution

Reliability Function

R(t) = 1 - F(t)

Probability Density Function f(t)

Parameters

Exponential

RBD_Formula1

RBD_Formula2

RBD_Formula3

Weibull

RBD_Formula4

RBD_Formula5

a > 0; b > 0

Normal

RBD_Formula6

RBD_Formula7

- < μ <;

σ > 0

Log normal

RBD_Formula8

RBD_Formula9

- < μ <;

σ > 0

Erlang

RBD_Formula10

RBD_Formula11

λ > 0;

κ - positive integer

Time-independent

1-Ur

 

0 Ur 1

Constant

0 for t>=Τ0

1 for t<Τ0

 

Τ0>0

Uniform

RBD_Formula12

RBD_Formula13for a t b

0 a < b