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Stochastic comparisons of spacings from restricted families of distributions

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  • Hu, Taizhong
  • Wei, Ying

Abstract

Let X1:n[less-than-or-equals, slant]X2:n[less-than-or-equals, slant]...[less-than-or-equals, slant]Xn:n denote the order statistics of a random sample X1,...,Xn from a distribution F with support (0,[infinity]). Let the generalized spacings [resp. spacings, normalized spacings and dual normalized spacings] of the X-sample be defined by Uj,i:n=Xj:n-Xi:n, 0[less-than-or-equals, slant]i

Suggested Citation

  • Hu, Taizhong & Wei, Ying, 2001. "Stochastic comparisons of spacings from restricted families of distributions," Statistics & Probability Letters, Elsevier, vol. 53(1), pages 91-99, May.
    • Handle: RePEc:eee:stapro:v:53:y:2001:i:1:p:91-99
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    References listed on IDEAS

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    1. Kirmani, S. N. U. A., 1996. "On sample spacings from IMRL distributions," Statistics & Probability Letters, Elsevier, vol. 29(2), pages 159-166, August.
    2. Asok Nanda & Moshe Shaked, 2001. "The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(4), pages 853-864, December.
    3. Lillo, Rosa E. & Nanda, Asok K. & Shaked, Moshe, 2001. "Preservation of some likelihood ratio stochastic orders by order statistics," Statistics & Probability Letters, Elsevier, vol. 51(2), pages 111-119, January.
    4. Khaledi, Baha-Eldin & Kochar, Subhash, 1999. "Stochastic orderings between distributions and their sample spacings - II," Statistics & Probability Letters, Elsevier, vol. 44(2), pages 161-166, August.
    5. Kochar, Subhash C., 1999. "On stochastic orderings between distributions and their sample spacings," Statistics & Probability Letters, Elsevier, vol. 42(4), pages 345-352, May.
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    6. Antonia Castaño-Martínez & Gema Pigueiras & Miguel A. Sordo, 2021. "On the Increasing Convex Order of Relative Spacings of Order Statistics," Mathematics, MDPI, vol. 9(6), pages 1-12, March.

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