IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v34y1987i4p535-545.html
   My bibliography  Save this article

The relationship between material failures and flight hours

Author

Listed:
  • Matthew S. Goldberg

Abstract

If material failures follow a Poisson distribution, then the expected number of failures is exactly proportional to flight hours. However, this article demonstrates that proportionality will not be revealed by simple correlation or regression analysis between monthly flight hours and the number of monthly failures. To test for proportionality, one must instead test the underlying hypothesis that the data follow a Poisson distribution. This article presents three simple tests that may be used for this purpose. The Poisson distribution requires that the mean and variance of the number of failures be equal. This article suggests several alternative models that may be used for samples in which the variance exceeds the mean. First, the mean of the Poisson distribution may itself be randomly distributed across the observational units according to a gamma distribution. If so, the number of failures will have a negative binomial distribution. Second, the mean of the Poisson distribution may depend systematically upon a set of observable explanatory variables. In this case, the Poisson regression model is appropriate. Finally, the mean of the Poisson distribution may contain both a systematic component that depends upon observable variables and a random component. This situation yields a generalized Poisson regression model.

Suggested Citation

  • Matthew S. Goldberg, 1987. "The relationship between material failures and flight hours," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(4), pages 535-545, August.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:4:p:535-545
    DOI: 10.1002/1520-6750(198708)34:43.0.CO;2-J
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(198708)34:43.0.CO;2-J
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(198708)34:43.0.CO;2-J?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. George F. Brown & Warren F. Rogers, 1973. "A Bayesian approach to demand estimation and inventory provisioning," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(4), pages 607-624, December.
    2. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-938, July.
    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. Bijwaard, G.E. & Franses, Ph.H.B.F., 2006. "Does rounding matter for payment efficiency?," Econometric Institute Research Papers EI 2006-43, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Lederman, Daniel & Saenz, Laura, 2005. "Innovation and development around the world, 1960-2000," Policy Research Working Paper Series 3774, The World Bank.
    3. Symeonidis, George, 2001. "Price Competition, Innovation and Profitability: Theory and UK Evidence," CEPR Discussion Papers 2816, C.E.P.R. Discussion Papers.
    4. Verdier Valentin, 2018. "Local Semi-Parametric Efficiency of the Poisson Fixed Effects Estimator," Journal of Econometric Methods, De Gruyter, vol. 7(1), pages 1-10, January.
    5. Iván Fernández-Val & Martin Weidner, 2018. "Fixed Effects Estimation of Large-TPanel Data Models," Annual Review of Economics, Annual Reviews, vol. 10(1), pages 109-138, August.
    6. de Rassenfosse, Gaétan, 2013. "Do firms face a trade-off between the quantity and the quality of their inventions?," Research Policy, Elsevier, vol. 42(5), pages 1072-1079.
    7. Zhang, Feng & Jiang, Guohua & Cantwell, John A., 2015. "Subsidiary exploration and the innovative performance of large multinational corporations," International Business Review, Elsevier, vol. 24(2), pages 224-234.
    8. Daron Acemoglu & Amy Finkelstein, 2008. "Input and Technology Choices in Regulated Industries: Evidence from the Health Care Sector," Journal of Political Economy, University of Chicago Press, vol. 116(5), pages 837-880, October.
    9. Sagnik Bagchi & Surajit Bhattacharyya & K. Narayanan, 2015. "Anti-dumping Initiations in Indian Manufacturing Industries," South Asia Economic Journal, Institute of Policy Studies of Sri Lanka, vol. 16(2), pages 278-294, September.
    10. Angers, Jean-François & Desjardins, Denise & Dionne, Georges & Guertin, François, 2006. "Vehicle and Fleet Random Effects in a Model of Insurance Rating for Fleets of Vehicles," ASTIN Bulletin, Cambridge University Press, vol. 36(1), pages 25-77, May.
    11. Bergman, Mats A. & Johansson, Per & Bergman, M.A., 2002. "Large investments in the pulp and paper industry: a count data regression analysis," Journal of Forest Economics, Elsevier, vol. 8(1), pages 29-52.
    12. repec:lan:wpaper:2935 is not listed on IDEAS
    13. William Greene, 2001. "Estimating Econometric Models With Fixed Effects," Working Papers 01-10, New York University, Leonard N. Stern School of Business, Department of Economics.
    14. Dionne, Georges, 1998. "La mesure empirique des problèmes d’information," L'Actualité Economique, Société Canadienne de Science Economique, vol. 74(4), pages 585-606, décembre.
    15. Thomas Bolli & Martin Woerter, 2013. "Technological Diversification and Innovation Performance," KOF Working papers 13-336, KOF Swiss Economic Institute, ETH Zurich.
    16. French, Michael T. & Gumus, Gulcin & Homer, Jenny F., 2009. "Public policies and motorcycle safety," Journal of Health Economics, Elsevier, vol. 28(4), pages 831-838, July.
    17. Hoderlein, Stefan & White, Halbert, 2012. "Nonparametric identification in nonseparable panel data models with generalized fixed effects," Journal of Econometrics, Elsevier, vol. 168(2), pages 300-314.
    18. Iversen, Tor & Lurås, Hilde, 2009. "The interaction between patient shortage and patients waiting time," HERO Online Working Paper Series 1999:2, University of Oslo, Health Economics Research Programme.
    19. Lori Rosenkopf & Paul Almeida, 2003. "Overcoming Local Search Through Alliances and Mobility," Management Science, INFORMS, vol. 49(6), pages 751-766, June.
    20. Vanhaverbeke, Wim & Li, Ying & Van de Vrande, Vareska, 2009. "The dual role of external corporate venturing in technological exploration," MPRA Paper 26488, University Library of Munich, Germany, revised 2010.
    21. Christopher J. W. Zorn, 1998. "An Analytic and Empirical Examination of Zero-Inflated and Hurdle Poisson Specifications," Sociological Methods & Research, , vol. 26(3), pages 368-400, February.

    More about this item

    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:wly:navres:v:34:y:1987:i:4:p:535-545. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.