PROBABILITY DISTRIBUTION CHARTS       Select Distribution
 
3 AMO ACCEPT  
Amoroso (4 Parameters) PDF, Reliability, Unreliability, Hazard Rate, Cumulative Hazard Rate
GROUP DATA
Average 3.7197
Sample Standard Deviation 2.1078337
Optimal Number of Groups [Sturges' Rule] 7.6438562
Number of Groups 8
Total Number of Observations 100
RESIDUAL LIFETIME
Residual Lifetime Percentile 50.0%
Median Residual Lifetime 3.4230769
Standard Error of Median Residual Lifetime 0.1923077
GOOGNESS OF FIT
Probability Distribution Function AMO P
Location Parameter μ -0.1970294 P
Scale Parameter σ 3.5039352 P
Shape Parameter α 1.3825553 P
Shape Parameter β 1.7058144
Number of Parameters Estimated m [m ≤ n] 4
Total Number of Parameters n 4
Chi-Square Σ(Oi-Ei)2/Ei 5.2789376
Degrees of Freedom df 3
Test χ2 7.8147278
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) Hazard Rate at Midpoint
Mi Median Residual Lifetime
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