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2 results

  • Some new results for the Lagrange polynomials in several variables

  • Kung Yu Chen, Shouh Jung Liu, H. M. Srivastava
  • Journal:
    The ANZIAM Journal / Volume 49 / Issue 2 / October 2007
    Published online by Cambridge University Press:
    17 February 2009, pp. 243-258
    • Article
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  • In some recent investigations involving certain differential operators for a general family of Lagrange polynomials, Chan el al. encountered and proved a certain summation identity for the Lagrange polynomials in several variables. In the present paper, we derive some generalizations of this summation identity for the Chan-Chyan-Srivastava polynomials in several variables. We also discuss a number of interesting corollaries and consequences of our main results.

  • Random contact processes, snowball sampling and factorial series distributions

  • Sven Berg
  • Journal:
    Journal of Applied Probability / Volume 20 / Issue 1 / March 1983
    Published online by Cambridge University Press:
    14 July 2016, pp. 31-46
    Print publication:
    March 1983

  • A contact process first posed as a random mapping problem is discussed together with a model for the spread of a rumour through an archaic telephone system. Snowball sampling and the well-known Reed–Frost chain binomial model are also commented on. Our main interest and emphasis is on distributional properties of discrete-time models. Simple combinatorial arguments are used along with a class of discrete distributions originally proposed for catch–recapture sampling.