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2008•Journal of Applied ProbabilityRequires access

Continuous Mixtures with Bathtub-Shaped Failure Rates

Henry W. Block, Yulin Li, Thomas H. Savits, Jie Wang

Open publisher page 4 citations

Abstract

The failure rate of a mixture of even the most standard distributions used in reliability can have a complicated shape. However, failure rates of mixtures of two carefully selected distributions will have the well-known bathtub shape. Here we show that mixtures of whole families of distribtions can have a bathtub-shaped failure rate.

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What this paper is about

The failure rate of a mixture of even the most standard distributions used in reliability can have a complicated shape. However, failure rates of mixtures of two carefully selected distributions will have the well-known bathtub shape. Here we show that mixtures of whole families of distribtions can have a bathtub-shaped failure rate.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The failure rate of a mixture of even the most standard distributions used in reliability can have a complicated shape. However, failure rates of mixtures of two carefully selected distributions will have the well-known bathtub shape. Here we show that mixtures of whole families of distribtions can have a bathtub-shaped failure rate.

Key concepts: Bathtub, Failure rate, Mathematics, Reliability (semiconductor), Statistics, Materials science, Thermodynamics, Composite material

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