Maximum Likelihood Estimation in Compound Geometric Failure Model with Changing Parameters From Type-I Two-Stage Progressively Censored and Group Censored Samples

Abstract

Boardman and Kendell (1970) considered the problem of estimation with respect to Type-I censoring when an item is subjected to only one of the two causes of failure assuming exponential model. Patel and Gajjar (1992) considered extension of the Boardman and Kendell's results in case of two-stage progressive censoring. Here we have considered geometric competing risk failure model with two independent causes of failures. Maximum likelihood estimation of the parameters is carried out using Type-I two-stage progressively censored and group censored samples. Asymptotic standard errors of the estimators are obtained for both the cases. Two illustrative examples are cited for ungroup and group competing risk models.

Keywords:

• Changing parameters
• Compound failure model
• Group censoring
• Maximum likelihood estimation
• Progressive censoring

Mathematics Subject Classification:

• 62N01
• 62N02
• 62N05

Acknowledgment

Both the authors are thankful to the Chief Editor and editorial board of the journal.