Small Sample Asymptotics for Higher-Order Spacings

  • Riccardo Gatto
  • S. Rao Jammalamadaka
Part of the Statistics for Industry and Technology book series (SIT)


In this chapter, we give conditional representations for families of statistics based on higher-order spacings and spaing frequencies. This allows us to compute accurate approximations to the distribution of such statistics, including tail probabilities and critical values. These results generalize those discussed in (1999) and are essential in using such statistics in various testing contexts.

Keywords and phrases

Goodnes-of-fit tests nonparametric tests rank tests m-step spacings m-step spacing frequencies two-sample tests Dirichlet gamma negative binomial distributions 


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Copyright information

© Birkhäuser Boston 2006

Authors and Affiliations

  • Riccardo Gatto
    • 1
    • 2
  • S. Rao Jammalamadaka
    • 1
    • 2
  1. 1.University of BernBernSwitzerland
  2. 2.University of CaliforniaSanta BarbaraUSA

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