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RELIABILITY ANALYSIS CHARTS |
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Select Distribution |
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3 |
RAY |
OK |
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Time-to-Failure Data for Bearings |
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Time-to-Failure
Data for Bearings from Charles Lipson and Narendra J. Sheth, Statistical Design and Analysis of Engineering Experiments (New York, NY: MacGraw-Hill, Inc.), 1973), pp. 403-406. |
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Rayleigh: PDF, Reliability, Unreliability,
Hazard Rate, Cumulative Hazard Rate |
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GROUP
DATA |
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Average |
28.965385 |
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Sample Standard Deviation |
15.255264 |
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Optimal Number of Groups [Sturges' Rule] |
4.7004397 |
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Groups |
13 |
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Total Number of Observations |
13 |
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RESIDUAL
LIFETIME |
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Residual Lifetime Percentile |
50.0% |
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Median Residual Lifetime |
23.15 |
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Standard Error of Median Residual Lifetime |
5.9491596 |
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GOOGNESS
OF FIT |
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Probability Distribution Function |
RAY |
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Scale Parameter η |
24.67551 |
P |
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Number of Parameters Estimated m [m ≤ n] |
0 |
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Total Number of Parameters n |
1 |
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Chi-Square Σ(Oi-Ei)2/Ei |
0.2445389 |
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Degrees of Freedom df |
12 |
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Test χ2 |
21.02607 |
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Accept / Reject |
ACCEPT |
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Chi-Square Rank |
1 |
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The marker P identifies the probability
distribution's parameters. |
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Legend |
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SYMBOL |
VARIABLE |
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T1=T |
Start of Interval [Age at Start of Mission] |
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T2=T+t |
End of Interval |
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t=T2-T1 |
Duration of Interval [Mission Time] |
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τ=(T1+T2)/2 |
Interval Midpoint |
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i |
Group |
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H |
Histogram |
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f(τ) |
Probability Density Function at Midpoint |
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R(T) |
Reliability [Survival or Cumulative Proportion
Surviving] at T |
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R(T+t) |
Reliability [Survival or Cumulative Proportion
Surviving] at T+t |
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Q(T) |
Unreliability [Failure or Cumulative Proportion
Terminating] at T |
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Q(T+t) |
Unreliability [Failure or Cumulative Proportion
Terminating] at T+t |
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λ(τ) |
Failure [Hazard] Rate at Midpoint |
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Mi |
Median Residual Lifetime |
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Copyright © 2010 by Macroknow Inc. All Rights
Reserved. |
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