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Estimation with Sequential Order Statistics from Exponential Distributions


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  • Erhard Cramer
  • Udo Kamps
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    Bibliographic Info

    Article provided by Springer in its journal Annals of the Institute of Statistical Mathematics.

    Volume (Year): 53 (2001)
    Issue (Month): 2 (June)
    Pages: 307-324

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    Handle: RePEc:spr:aistmt:v:53:y:2001:i:2:p:307-324

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    Keywords: Sequential k-out-of-n system; sequential order statistics; order statistics; record values; progressive type II censoring; maximum likelihood estimation; best linear unbiased estimation; uniformly minimum variance unbiased estimation; exponential distribution; Weinman multivariate exponential distribution;


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    1. G. Heinrich & U. Jensen, 1995. "Parameter estimation for a bivariate lifetime distribution in reliability with multivariate extensions," Metrika, Springer, vol. 42(1), pages 49-65, December.
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    Cited by:
    1. Balakrishnan, N. & Beutner, E. & Kamps, U., 2008. "Order restricted inference for sequential k-out-of-n systems," Journal of Multivariate Analysis, Elsevier, vol. 99(7), pages 1489-1502, August.
    2. N. Balakrishnan & U. Kamps & M. Kateri, 2012. "A sequential order statistics approach to step-stress testing," Annals of the Institute of Statistical Mathematics, Springer, vol. 64(2), pages 303-318, April.
    3. S. Gurler, 2012. "On residual lifetimes in sequential (n − k + 1)-out-of-n systems," Statistical Papers, Springer, vol. 53(1), pages 23-31, February.
    4. Burkschat, M. & Kamps, U. & Kateri, M., 2010. "Sequential order statistics with an order statistics prior," Journal of Multivariate Analysis, Elsevier, vol. 101(8), pages 1826-1836, September.
    5. Udo Kamps & Erhard Cramer, 2007. "Comments on: Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 16(2), pages 271-275, August.
    6. Balakrishnan, N. & Cramer, E. & Kamps, U., 2001. "Bounds for means and variances of progressive type II censored order statistics," Statistics & Probability Letters, Elsevier, vol. 54(3), pages 301-315, October.
    7. Eric Beutner, 2008. "Nonparametric inference for sequential k-out-of-n systems," Annals of the Institute of Statistical Mathematics, Springer, vol. 60(3), pages 605-626, September.


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