Table of percentiles for Distribution ID Plot (Right Censoring)

The percentiles provide the age by which a percentage of the population is expected to fail.

Sometimes it may be difficult to determine the best distribution based on the probability plot and goodness-of-fit measures. Use the table of percentiles to compare the percentiles for several selected distributions to see how your conclusions change depending on the distribution chosen.

If several distributions provide a reasonable fit to the data and similar conclusions, then the choice of the distribution is less important.

However, if your conclusions differ depending on the distribution, you may want to report the most conservative conclusion, collect more data, or use additional information, such as process knowledge and expert advice.

Example output

Table of Percentiles




Standard
Error
95% Normal CI
DistributionPercentPercentileLowerUpper
Weibull110.07652.784535.8626317.3193
Lognormal119.32812.8375014.495325.7722
Exponential10.8097310.1331190.5866841.11758
Normal1-0.5493238.37183-16.957815.8592
           
Weibull520.35923.7913014.133529.3273
Lognormal526.92123.0262121.597833.5566
Exponential54.132580.6793912.994225.70371
Normal518.22896.403675.6779030.7798
           
Weibull1027.77504.1199420.768037.1463
Lognormal1032.12253.0940926.596238.7970
Exponential108.488641.395526.1503711.7159
Normal1028.23945.4810317.496838.9820
           
Weibull5062.61584.6251554.176372.3700
Lognormal5059.89954.3108552.019268.9735
Exponential5055.84529.1808940.462277.0766
Normal5063.55184.0694455.575971.5278

Interpretation

Based on a lognormal distribution fitted to the engine windings data, 1% of engine windings are expected to fail by 19.3281 hours.