Title :
Prediction intervals for an ordered observation from a Pareto distribution
Author :
Ouyang, Liang-Yuh ; Wu, Shuo-Jye
Author_Institution :
Tamkang Univ., Taipei, Taiwan
fDate :
6/1/1994 12:00:00 AM
Abstract :
The prediction of future ordered observations shows how long a sample of units might run until all fail in life testing. This paper presents the prediction intervals on future ordered-observations in a sample of size n from a Pareto distribution with known shape parameter where the first k ordered observations have been observed. A useful method is defined for obtaining a bound on life-test duration for sample from a population having Pareto distributed lifetimes
Keywords :
Monte Carlo methods; failure analysis; life testing; probability; reliability theory; Pareto distribution; failure; future ordered observations; life testing; life-test duration; lifetimes; population; prediction intervals; reliability; sample size; shape parameter; Data analysis; Exponential distribution; Fluctuations; Life testing; Manufacturing; Pareto analysis; Probability; Shape; Statistical distributions; Statistics;
Journal_Title :
Reliability, IEEE Transactions on