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Conditional independence of blocked ordered data

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  • Iliopoulos, G.
  • Balakrishnan, N.

Abstract

In this paper, we prove that blocks of ordered data formed by some conditioning events are mutually independent. We establish this result by considering the usual order statistics, progressively censored order statistics, and concomitants of order statistics.

Suggested Citation

  • Iliopoulos, G. & Balakrishnan, N., 2009. "Conditional independence of blocked ordered data," Statistics & Probability Letters, Elsevier, vol. 79(8), pages 1008-1015, April.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:8:p:1008-1015
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    References listed on IDEAS

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    1. N. Balakrishnan & Z. Govindarajulu & K. Balasubramanian, 1993. "Relationships between moments of two related sets of order statistics and some extensions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 45(2), pages 243-247, June.
    2. N. Balakrishnan, 2007. "Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 211-259, August.
    3. A. Childs & B. Chandrasekar & N. Balakrishnan & D. Kundu, 2003. "Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(2), pages 319-330, June.
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    Cited by:

    1. Maria Tafiadi & George Iliopoulos, 2017. "Exact inference for the difference of Laplace location parameters," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(6), pages 829-861, November.
    2. Benjamin Laumen & Erhard Cramer, 2021. "k‐step stage life testing," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 75(2), pages 203-233, May.
    3. van Bentum, Thomas & Cramer, Erhard, 2019. "Stochastic monotonicity of MLEs of the mean for exponentially distributed lifetimes under hybrid censoring," Statistics & Probability Letters, Elsevier, vol. 148(C), pages 1-8.
    4. Kai Liu & Xiaojun Zhu & N. Balakrishnan, 2018. "Exact inference for Laplace distribution under progressive Type-II censoring based on BLUEs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 81(2), pages 211-227, February.
    5. Benjamin Laumen & Erhard Cramer, 2019. "Stage life testing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(8), pages 632-647, December.
    6. Akhundov, I. & Nevzorov, V.B., 2010. "A simple characterization of Student's t3 distribution," Statistics & Probability Letters, Elsevier, vol. 80(5-6), pages 293-295, March.
    7. Jafar Ahmadi & H. N. Nagaraja, 2020. "Conditional properties of a random sample given an order statistic," Statistical Papers, Springer, vol. 61(5), pages 1971-1996, October.
    8. Hideki Nagatsuka & N. Balakrishnan, 2021. "Efficient likelihood-based inference for the generalized Pareto distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 73(6), pages 1153-1185, December.

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