This article deals with the estimation problem of lifetime parameters of an industrial product using incomplete field performance data. The product has two kinds of failure modes. For failure mode 1,it is impossible to detect the failure by its owner. Therefore, failure data of mode 1 is collected only by the sampling inspection done by a manufacturer. For failure mode 2,it is possible to detect the occurrence of failure by its owner. Therefore, failure data of mode 2 is obtainable from the repair request mode by owners during its warranty period. Formulating the above problem by a competing risks model, a consistent estimator for lifetime parameter is derived, and its properties are discussed. Also, under the assumption of Weibull distribution, the effects of the sampling inspection percentage, the number of products and the percentage of failures on the precision of the estimator are examined.
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