TABLE 3

q(c, s|n, θ) in special cases

Configuration
 (c)No. of
 segregating
 sites (s)Sample
 size (n)q(c, s|n, θ) derived using (1) (by induction on s or n)Reference for
 earlier derivation
(0, 1)02Embedded ImageMalécot (1969); Watterson 
   (1975)
(2, 0)s ≥ 12Embedded ImageWatterson (1975); Tajima (1983)
(0, 0, 1)03Embedded ImageSpecial case of Ewens (1972)(1974)
(1, 1, 0)s ≥ 13sEmbedded Image
(3, 0, 0)s ≥ 23sEmbedded Image
(0, 0, 0, 1)04Embedded ImageSpecial case of Ewens (1972)(1974)
(0, 2, 0, 0)s ≥ 14Embedded ImageEmbedded Image
en0nEmbedded ImageEwens (1972)(1974)
  • Expressions for the other three configurations with n = 4 are rather unwieldy and are not shown.