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Confidence Interval Estimation in the Inverse Power Law Model
Author(s) -
Lawless J. F.
Publication year - 1976
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2346681
Subject(s) - interval estimation , confidence interval , mathematics , estimation , statistics , inverse , econometrics , economics , geometry , management
Summary Estimation and prediction procedures are discussed for the inverse power law model, when the time to failure follows an exponential distribution. In the context of accelerated life test experiments, procedures are given for estimating the parameters in the power law model, and for estimating mean life at a given future stress level. The procedures given are conditional confidence interval procedures, obtained by conditioning on ancillary statistics. A comparison is made of these procedures and procedures based on asymptotic properties of the maximum likelihood estimates.