PROBABILITY DISTRIBUTION CHARTS       Select Distribution
 
3 LN REJECT  
Lognormal 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 LN P
Mean μ 1.1953169 P
Standard Deviation σ 0.6696591
Number of Parameters Estimated m [m ≤ n] 2
Total Number of Parameters n 2
Chi-Square Σ(Oi-Ei)2/Ei 11.267153
Degrees of Freedom df 5
Test χ2 11.070498
Accept / Reject REJECT
Chi-Square Rank 7
 
 
 
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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