IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v82y2002i1p65-87.html
   My bibliography  Save this article

Parameter Estimation in Linear Models with Heteroscedastic Variances Subject to Order Restrictions

Author

Listed:
  • Hoferkamp, Carol
  • Das Peddada, Shyamal

Abstract

Estimation of parameters in linear fixed and mixed effects models, under order restrictions on the error variances, is considered in this article. For simplicity of exposition, we shall assume that the error variances are subject to simple order restriction. Similar methodology can be developed for other forms of order restrictions as well.

Suggested Citation

  • Hoferkamp, Carol & Das Peddada, Shyamal, 2002. "Parameter Estimation in Linear Models with Heteroscedastic Variances Subject to Order Restrictions," Journal of Multivariate Analysis, Elsevier, vol. 82(1), pages 65-87, July.
    • Handle: RePEc:eee:jmvana:v:82:y:2002:i:1:p:65-87
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047-259X(01)92010-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Shi, N. Z., 1994. "Maximum Likelihood Estimation of Means and Variances from Normal Populations Under Simultaneous Order Restrictions," Journal of Multivariate Analysis, Elsevier, vol. 50(2), pages 282-293, August.
    2. Dykstra, Robert R., 1988. "Trails South: The Wagon-Road Economy in the Dodge City-Panhandle Region. By C. Robert Haywood. Norman: University of Oklahoma Press, 1986. xv + 312 pp. Maps, illustrations, notes, bibliography, and in," Business History Review, Cambridge University Press, vol. 62(1), pages 157-158, April.
    3. Shi, Ning-Zhong & Jiang, Hua, 1998. "Maximum Likelihood Estimation of Isotonic Normal Means with Unknown Variances," Journal of Multivariate Analysis, Elsevier, vol. 64(2), pages 183-195, February.
    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. Garren Steven T., 2003. "Improved estimation of medians subject to order restrictions in unimodal symmetric families," Statistics & Risk Modeling, De Gruyter, vol. 21(4), pages 367-380, April.

    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. Jamshidian, Mortaza, 2004. "On algorithms for restricted maximum likelihood estimation," Computational Statistics & Data Analysis, Elsevier, vol. 45(2), pages 137-157, March.
    2. Shi, Ning-Zhong & Zheng, Shu-Rong & Guo, Jianhua, 2005. "The restricted EM algorithm under inequality restrictions on the parameters," Journal of Multivariate Analysis, Elsevier, vol. 92(1), pages 53-76, January.
    3. Mondal, Anjana & Sattler, Paavo & Kumar, Somesh, 2023. "Testing against ordered alternatives in a two-way model without interaction under heteroscedasticity," Journal of Multivariate Analysis, Elsevier, vol. 196(C).
    4. Shi, Ning-Zhong & Jiang, Hua, 1998. "Maximum Likelihood Estimation of Isotonic Normal Means with Unknown Variances," Journal of Multivariate Analysis, Elsevier, vol. 64(2), pages 183-195, February.
    5. Ma, Tiefeng & Wang, Songgui, 2010. "Estimation of means of multivariate normal populations with order restriction," Journal of Multivariate Analysis, Elsevier, vol. 101(3), pages 594-602, March.
    6. Shin, Dong Wan & Park, Chul Gyu & Park, Taesung, 2001. "Testing for one-sided group effects in repeated measures study," Computational Statistics & Data Analysis, Elsevier, vol. 37(2), pages 233-247, August.
    7. Jiménez, Javier Rojo & Villa-Diharce, Enrique & Flores, Miguel, 2001. "Nonparametric Estimation of the Dependence Function in Bivariate Extreme Value Distributions," Journal of Multivariate Analysis, Elsevier, vol. 76(2), pages 159-191, February.
    8. Yuling Li & Wei Gao & Ning-Zhong Shi, 2007. "A note on multinomial maximum likelihood estimation under ordered restrictions and the EM algorithm," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 66(1), pages 105-114, July.
    9. Ma, Chunsheng, 2000. "ISO* Property of Two-Parameter Compound Poisson Distributions with Applications," Journal of Multivariate Analysis, Elsevier, vol. 75(2), pages 279-294, November.
    10. Park, Chul Gyu, 2002. "Testing for Ordered Trends of Binary Responses between Contingency Tables," Journal of Multivariate Analysis, Elsevier, vol. 81(2), pages 229-241, May.
    11. Nashimoto, Kane & Wright, F.T., 2005. "Multiple comparison procedures for detecting differences in simply ordered means," Computational Statistics & Data Analysis, Elsevier, vol. 48(2), pages 291-306, February.
    12. Kuriki, Satoshi & Takemura, Akimichi, 2000. "Shrinkage Estimation towards a Closed Convex Set with a Smooth Boundary," Journal of Multivariate Analysis, Elsevier, vol. 75(1), pages 79-111, October.
    13. Tao, Jian & Shi, Ning-Zhong & Guo, Jianhua & Gao, Wei, 2002. "Stepwise procedures for the identification of minimum effective dose with unknown variances," Statistics & Probability Letters, Elsevier, vol. 57(2), pages 121-131, April.
    14. Cohen, Arthur & Kemperman, J. H. B. & Sackrowitz, Harold B., 2000. "Properties of Likelihood Inference for Order Restricted Models," Journal of Multivariate Analysis, Elsevier, vol. 72(1), pages 50-77, January.
    15. Yuan-Tsung Chang & Nobuo Shinozaki, 2015. "Estimation of two ordered normal means under modified Pitman nearness criterion," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 67(5), pages 863-883, October.
    16. Karabatsos, George & Ullrich, James R., 2002. "Enumerating and testing conjoint measurement models," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 485-504, July.
    17. Mansouri, Hossein & Shaw, Carrie, 2004. "Nonparametric multiple comparison procedures for ordered parameters in balanced incomplete blocks," Computational Statistics & Data Analysis, Elsevier, vol. 46(3), pages 593-604, June.
    18. Bartolucci, F. & Scaccia, L., 2004. "Testing for positive association in contingency tables with fixed margins," Computational Statistics & Data Analysis, Elsevier, vol. 47(1), pages 195-210, August.
    19. Neto, Jose Cardoso & Paula, Gilberto A., 2001. "Wald one-sided test using generalized estimating equations approach," Computational Statistics & Data Analysis, Elsevier, vol. 36(4), pages 475-495, June.
    20. Rueda, C. & Salvador, B. & Fernández, M. A., 1997. "Simultaneous Estimation in a Restricted Linear Model," Journal of Multivariate Analysis, Elsevier, vol. 61(1), pages 61-66, April.

    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:jmvana:v:82:y:2002:i:1:p:65-87. 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: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.