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Volume 14 - December 1977

Contents

Page 6 of 6

Other

Front Matter

Back Matter

Front matter

  • JPR volume 14 issue 4 Cover and Front matter

  • Published online by Cambridge University Press:
    14 July 2016, pp. f1-f2
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Short Communications

  • The volume of a random simplex in an n-ball is asymptotically normal

  • Harold Ruben
  • Published online by Cambridge University Press:
    14 July 2016, pp. 647-653

  • A proof is given of a conjecture in the literature of geometrical probability that the r-content of the r-simplex whose r + 1 vertices are independent random points of which p are uniform in the interior and q uniform on the boundary of a unit n-ball (1 ≦ r ≦ n; 0 ≦ p, q ≦ r + 1, p + q = r + 1) is asymptotically normal (n →∞) with asymptotic mean and variance and , respectively.

Back matter

  • JPR volume 14 issue 4 Cover and Back matter

  • Published online by Cambridge University Press:
    14 July 2016, pp. b1-b5
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Short Communications

  • On the length distribution of stochastic subarcs of a rectifiable arc

  • J. E. Mann
  • Published online by Cambridge University Press:
    14 July 2016, pp. 654-660

  • Suppose that A1, A2, · ··, An are disjoint subarcs of a rectifiable arc A ⊆ Rk. The location and length of each subarc are assumed to be continuous random variables. An expression for the expected fraction of A covered by subarcs each of length greater than τ ≧ 0 is obtained and applied to two conceptually distinct problems associated with light penetration of an absorbing medium.

Correction

Letter to the Editor

  • On clumping effects in models of isolation by distance

  • S. Wilson
  • Published online by Cambridge University Press:
    14 July 2016, p. 662
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Front matter

  • JPR volume 14 issue 3 Cover and Front matter

  • Published online by Cambridge University Press:
    14 July 2016, pp. f1-f2
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Back matter

  • JPR volume 14 issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    14 July 2016, pp. b1-b5
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Page 6 of 6