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ESTIMATION OF GUARANTEE TIME AND MEAN LIFE AFTER WARRANTY FOR TWO‐PARAMETER EXPONENTIAL FAILURE MODEL
Author(s) -
Khattree Ravindra
Publication year - 1992
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1992.tb01354.x
Subject(s) - estimator , warranty , exponential function , exponential distribution , mathematics , survival function , estimation , entropy (arrow of time) , statistics , estimation theory , principle of maximum entropy , function (biology) , mathematical optimization , engineering , law , mathematical analysis , physics , systems engineering , quantum mechanics , evolutionary biology , political science , biology
Summary Suppose manufactured items have failure times distributed with the two‐parameter exponential density function à‐ l e‐(x‐μ)/à (x≥μ≥0). The paper considers estimation of the guarantee time μ and mean life after warranty à. Properties of various estimators are given for both separate and simultaneous estimation of μ and à. Criteria for comparing estimators are entropy loss, LINEX loss, and (generalized) Pitman nearness.