IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v54y2006i3p602-604.html
   My bibliography  Save this article

A Note on Probability Distributions with Increasing Generalized Failure Rates

Author

Listed:
  • Martin A. Lariviere

    (Kellogg School of Management, Northwestern University, 2001 Sheridan Road, Evanston, Illinois 60208-2009)

Abstract

Distributions with an increasing generalized failure rate (IGFR) have useful applications in pricing and supply chain contracting problems. We provide alternative characterizations of the IGFR property that lead to simplify verifying whether the IGFR condition holds. We also relate the limit of the generalized failure rate and the moments of a distribution.

Suggested Citation

  • Martin A. Lariviere, 2006. "A Note on Probability Distributions with Increasing Generalized Failure Rates," Operations Research, INFORMS, vol. 54(3), pages 602-604, June.
  • Handle: RePEc:inm:oropre:v:54:y:2006:i:3:p:602-604
    DOI: 10.1287/opre.1060.0282
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.1060.0282
    Download Restriction: no

    File URL: https://libkey.io/10.1287/opre.1060.0282?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Jan A. Van Mieghem & Maqbool Dada, 1999. "Price Versus Production Postponement: Capacity and Competition," Management Science, INFORMS, vol. 45(12), pages 1639-1649, December.
    2. Anand Paul, 2005. "A Note on Closure Properties of Failure Rate Distributions," Operations Research, INFORMS, vol. 53(4), pages 733-734, August.
    3. Martin A. Lariviere & Evan L. Porteus, 2001. "Selling to the Newsvendor: An Analysis of Price-Only Contracts," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 293-305, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jiri Chod & Nils Rudi, 2005. "Resource Flexibility with Responsive Pricing," Operations Research, INFORMS, vol. 53(3), pages 532-548, June.
    2. Kinshuk Jerath & Sang-Hyun Kim & Robert Swinney, 2017. "Product Quality in a Distribution Channel with Inventory Risk," Marketing Science, INFORMS, vol. 36(5), pages 747-761, September.
    3. Dongling Cai & Li Jiang, 2020. "The Bright and Dark Sides of Customer Switching," Production and Operations Management, Production and Operations Management Society, vol. 29(6), pages 1381-1396, June.
    4. Ye, Yu-Sen & Ma, Zu-Jun & Dai, Ying, 2016. "The price of anarchy in competitive reverse supply chains with quality-dependent price-only contracts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 86-107.
    5. Paulo Oliveira & Nuria Torrado, 2015. "On proportional reversed failure rate class," Statistical Papers, Springer, vol. 56(4), pages 999-1013, November.
    6. Oded Berman & Mohammad M. Fazel-Zarandi & Dmitry Krass, 2019. "Truthful Cheap Talk: Why Operational Flexibility May Lead to Truthful Communication," Management Science, INFORMS, vol. 65(4), pages 1624-1641, April.
    7. Georgia Perakis & Guillaume Roels, 2007. "The Price of Anarchy in Supply Chains: Quantifying the Efficiency of Price-Only Contracts," Management Science, INFORMS, vol. 53(8), pages 1249-1268, August.
    8. Yingxue Zhao & Tsan-Ming Choi & T. C. E. Cheng & Shouyang Wang, 2017. "Mean-risk analysis of wholesale price contracts with stochastic price-dependent demand," Annals of Operations Research, Springer, vol. 257(1), pages 491-518, October.
    9. Stefanos Leonardos & Costis Melolidakis & Constandina Koki, 2022. "Monopoly pricing in vertical markets with demand uncertainty," Annals of Operations Research, Springer, vol. 315(2), pages 1291-1318, August.
    10. Kyparisis, George J. & Koulamas, Christos, 2018. "Optimal pricing and seat allocation for a two-cabin airline revenue management problem," International Journal of Production Economics, Elsevier, vol. 201(C), pages 18-25.
    11. Terry A. Taylor, 2006. "Sale Timing in a Supply Chain: When to Sell to the Retailer," Manufacturing & Service Operations Management, INFORMS, vol. 8(1), pages 23-42, November.
    12. Yang, Yang & Liu, Jie, 2023. "Price timing and financing strategies for a capital-constrained supply chain with price-dependent stochastic demand," International Journal of Production Economics, Elsevier, vol. 261(C).
    13. Jain, Tarun & Hazra, Jishnu, 2017. "Dual sourcing under suppliers' capacity investments," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 103-115.
    14. Daniel Granot & Shuya Yin, 2008. "Price and Order Postponement in a Decentralized Newsvendor Model with Multiplicative and Price-Dependent Demand," Operations Research, INFORMS, vol. 56(1), pages 121-139, February.
    15. B. C. Giri & B. R. Sarker, 2016. "Coordinating a two-echelon supply chain under production disruption when retailers compete with price and service level," Operational Research, Springer, vol. 16(1), pages 71-88, April.
    16. Brusset, Xavier & Cattan-Jallet, Roxane, 2009. "Estimating the buyer's willingness to pay using Bayesian belief distribution with IFR," MPRA Paper 22638, University Library of Munich, Germany, revised 10 May 2010.
    17. Tarun Jain & Jishnu Hazra, 2019. "“On-demand” pricing and capacity management in cloud computing," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 18(3), pages 228-246, June.
    18. Onur Kaya & Serra Caner, 2018. "Supply chain contracts for capacity decisions under symmetric and asymmetric information," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(1), pages 67-92, March.
    19. Caliskan Demirag, Ozgun & Xue, Weili & Wang, Jie, 2021. "Retailers’ Order Timing Strategies under Competition and Demand Uncertainty," Omega, Elsevier, vol. 101(C).
    20. Colombo, Luca & Labrecciosa, Paola, 2012. "A note on pricing with risk aversion," European Journal of Operational Research, Elsevier, vol. 216(1), pages 252-254.

    More about this item

    Keywords

    probability distributions;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:oropre:v:54:y:2006:i:3:p:602-604. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.