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