IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v136y2015icp92-100.html
   My bibliography  Save this article

Robust D-optimal designs under correlated error, applicable invariantly for some lifetime distributions

Author

Listed:
  • Das, Rabindra Nath
  • Kim, Jinseog
  • Park, Jeong-Soo

Abstract

In quality engineering, the most commonly used lifetime distributions are log-normal, exponential, gamma and Weibull. Experimental designs are useful for predicting the optimal operating conditions of the process in lifetime improvement experiments. In the present article, invariant robust first-order D-optimal designs are derived for correlated lifetime responses having the above four distributions. Robust designs are developed for some correlated error structures. It is shown that robust first-order D-optimal designs for these lifetime distributions are always robust rotatable but the converse is not true. Moreover, it is observed that these designs depend on the respective error covariance structure but are invariant to the above four lifetime distributions. This article generalizes the results of Das and Lin [7] for the above four lifetime distributions with general (intra-class, inter-class, compound symmetry, and tri-diagonal) correlated error structures.

Suggested Citation

  • Das, Rabindra Nath & Kim, Jinseog & Park, Jeong-Soo, 2015. "Robust D-optimal designs under correlated error, applicable invariantly for some lifetime distributions," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 92-100.
  • Handle: RePEc:eee:reensy:v:136:y:2015:i:c:p:92-100
    DOI: 10.1016/j.ress.2014.12.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832014003007
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ress.2014.12.001?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bliemer, Michiel C.J. & Rose, John M., 2010. "Construction of experimental designs for mixed logit models allowing for correlation across choice observations," Transportation Research Part B: Methodological, Elsevier, vol. 44(6), pages 720-734, July.
    2. Bischoff, Wolfgang, 1996. "On maximin designs for correlated observations," Statistics & Probability Letters, Elsevier, vol. 26(4), pages 357-363, March.
    3. Finkelstein, Maxim, 2013. "On some comparisons of lifetimes for reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 300-304.
    4. Goos, Peter & Vandebroek, Martina, 2001. "-optimal response surface designs in the presence of random block effects," Computational Statistics & Data Analysis, Elsevier, vol. 37(4), pages 433-453, October.
    5. Eryilmaz, Serkan, 2013. "Mean instantaneous performance of a system with weighted components that have arbitrarily distributed lifetimes," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 290-293.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Piña-Monarrez, Manuel R. & Ortiz-Yañez, Jesús F., 2015. "Weibull and lognormal Taguchi analysis using multiple linear regression," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 244-253.

    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. Mahieu, Pierre-Alexandre & Andersson, Henrik & Beaumais, Olivier & Crastes dit Sourd, Romain & Hess, François-Charles & Wolff, François-Charles, 2017. "Stated preferences: a unique database composed of 1657 recent published articles in journals related to agriculture, environment, or health," Review of Agricultural, Food and Environmental Studies, Institut National de la Recherche Agronomique (INRA), vol. 98(3), November.
    2. Determann, Domino & Lambooij, Mattijs S. & de Bekker-Grob, Esther W. & Hayen, Arthur P. & Varkevisser, Marco & Schut, Frederik T. & Wit, G. Ardine de, 2016. "What health plans do people prefer? The trade-off between premium and provider choice," Social Science & Medicine, Elsevier, vol. 165(C), pages 10-18.
    3. GOOS, Peter & VERMEULEN, Bart & VANDEBROEK, Martina, 2008. "D-optimal conjoint choice designs with no-choice options for a nested logit model," Working Papers 2008020, University of Antwerp, Faculty of Business and Economics.
    4. Batarce, Marco & Muñoz, Juan Carlos & Ortúzar, Juan de Dios, 2016. "Valuing crowding in public transport: Implications for cost-benefit analysis," Transportation Research Part A: Policy and Practice, Elsevier, vol. 91(C), pages 358-378.
    5. Djiby Racine Thiam & Ariel Dinar & Hebert Ntuli, 2021. "Promotion of residential water conservation measures in South Africa: the role of water-saving equipment," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 23(1), pages 173-210, January.
    6. Arnouts, Heidi & Goos, Peter, 2010. "Update formulas for split-plot and block designs," Computational Statistics & Data Analysis, Elsevier, vol. 54(12), pages 3381-3391, December.
    7. Illyés László & Sándor Zsolt, 2014. "A Comparison of Algorithms for Conjoint Choice Designs," Acta Universitatis Sapientiae, Economics and Business, Sciendo, vol. 2(1), pages 95-108, October.
    8. Ana I. Sanjuán‐López & Helena Resano‐Ezcaray, 2020. "Labels for a Local Food Speciality Product: The Case of Saffron," Journal of Agricultural Economics, Wiley Blackwell, vol. 71(3), pages 778-797, September.
    9. Nguyen, Ly & Gao, Zhifeng & Anderson, James L., 2022. "Regulating menu information: What do consumers care and not care about at casual and fine dining restaurants for seafood consumption?," Food Policy, Elsevier, vol. 110(C).
    10. Grigolon, Anna B. & Borgers, Aloys W.J. & Kemperman, Astrid D.A.M. & Timmermans, Harry J.P., 2014. "Vacation length choice: A dynamic mixed multinomial logit model," Tourism Management, Elsevier, vol. 41(C), pages 158-167.
    11. Rose, John M. & Bliemer, Michiel C.J. & Hensher, David A. & Collins, Andrew T., 2008. "Designing efficient stated choice experiments in the presence of reference alternatives," Transportation Research Part B: Methodological, Elsevier, vol. 42(4), pages 395-406, May.
    12. Nthambi, Mary & Wätzold, Frank & Markova-Nenova, Nonka, 2018. "Quantifying benefit losses from poor governance of climate change adaptation projects: A discrete choice experiment with farmers in Kenya," MPRA Paper 94678, University Library of Munich, Germany.
    13. Sriwastava, Ambuj & Reichert, Peter, 2023. "Reducing sample size requirements by extending discrete choice experiments to indifference elicitation," Journal of choice modelling, Elsevier, vol. 48(C).
    14. Daziano, Ricardo A., 2022. "Willingness to delay charging of electric vehicles," Research in Transportation Economics, Elsevier, vol. 94(C).
    15. M. Salehi & Z. Shishebor & M. Asadi, 2019. "On the reliability modeling of weighted k-out-of-n systems with randomly chosen components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(5), pages 589-605, July.
    16. Bliemer, Michiel C.J. & Rose, John M. & Hensher, David A., 2009. "Efficient stated choice experiments for estimating nested logit models," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 19-35, January.
    17. Nguyen, Ly & Gao, Zhifeng & Anderson, James L. & House, Lisa A., 2022. "The Impacts of Covid-19 on Consumers’ Willingness to Pay for Information Transparency at Casual and Fine Dining Restaurants," 2022 Annual Meeting, July 31-August 2, Anaheim, California 322463, Agricultural and Applied Economics Association.
    18. González, Rosa Marina & Román, Concepción & Ortúzar, Juan de Dios, 2019. "Preferences for sustainable mobility in natural areas: The case of Teide National Park," Journal of Transport Geography, Elsevier, vol. 76(C), pages 42-51.
    19. Eryilmaz, Serkan & Ucum, Kaan Ayberk, 2021. "The lost capacity by the weighted k-out-of-n system upon system failure," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    20. Owusu, Rebecca & Dekagbey, Florence Sefakor, 2020. "Gender Dynamics In Consumer Preferences And Willingness To Pay For Edible Mushrooms In Ghana," APSTRACT: Applied Studies in Agribusiness and Commerce, AGRIMBA, vol. 11(4-5), June.

    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:eee:reensy:v:136:y:2015:i:c:p:92-100. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    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.