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Least Squares Estimation for the Inverse Power Law for Accelerated Life Tests
Author(s) -
Kahn Henry D.
Publication year - 1979
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 - 10.2307/2346809
Subject(s) - estimation , inverse , power (physics) , mathematics , least squares function approximation , statistics , econometrics , law , engineering , political science , physics , geometry , thermodynamics , estimator , systems engineering
Summary Procedures are given for obtaining orthogonal least squares estimators for the parameters of the inverse power law with an exponential failure distribution when the data are obtained from censored sample accelerated life tests. Prediction at use stress is also considered. Properties of the estimators are examined and the exact cumulants of the estimators are used in the Edgeworth series to obtain approximate confidence levels. These procedures yield results that are in good agreement with those based on exact and asymptotic properties of the maximum likelihood estimates.