A Note on Probability Distributions with Increasing Generalized Failure Rates

By Martin A. Lariviere. Operational Research, 2006

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Financing an Agricultural Supply Chain with a Capital‐Constrained Smallholder Farmer in Developing Economies (2021, background): “This is a relatively weak requirement satisﬁed by many common distribution types, including uniform, exponential, truncated normal, and Weibull (Lariviere 2006).”
Price, Rebate, and Returns Supply Contracts for Coordinating Supply Chains with Price‐Dependent Demands (2011, background): “When demand is price-independent, Lu et al. (2007) analyze a two-period model and show that a policy that combines returns, sales rebate, and price protection policies can coordinate a decentralized supply chain.”
Managing Disruptions in Decentralized Supply Chains with Endogenous Supply Process Reliability (2014, background): “Let z0 be the solution to the following first order condition: rE½Dj D bz0w þ 2rbz0 w F bz0 w 2bz0 ¼ 0: ð14Þ When the demand distribution satisfies the increasing generalized failure rate (IGFR) property (see Lariviere 2006), there exists a unique positive value of z0 satisfying Equation (14).”