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This research aims to introduce a new time-to-failure model based on log-odds rates and compare it with traditional monotone failure rate models.

Log-Odds Rate and Monotone Log-Odds Rate Distributions

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This research aims to introduce a new time-to-failure model based on log-odds rates and compare it with traditional monotone failure rate models.
Introduced a novel time-to-failure model based on the log-odds rate (LOR).
Characterized failure-time distributions using the increasing LOR (ILOR) model.
Provided examples comparing ILOR bounds with traditional IFR bounds.
The ILOR model is less stringent than the IFR model for aging.
Demonstrated that the logistic distribution maintains a constant LOR.
Established bounds for ILOR distributions related to the log-logistic distribution.

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New time-to-failure models characterize distributions using log-odds rates, suggesting flexibility in aging models.

Zimmer et al. (1998) studied this question.

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