Documentation of Efraimidis-Spirakis samplers (JuliaLang#254)

docs/source/sampling.rst

@@ -172,3 +172,27 @@ All following functions write results to ``x`` (pre-allocated) and return ``x``.
     It makes a copy of the weight vector at initialization, and sets the weight to zero when the corresponding sample is picked.
 
     This algorithm consumes ``O(k)`` random numbers, and has overall time complexity ``O(n k)``.
+
+.. function:: efraimidis_a_wsample_norep!([rng], a, wv, x)
+
+    Implementation of weighted sampling without replacement using Efraimidis-Spirakis A algorithm.
+
+    Reference: Efraimidis, P. S., Spirakis, P. G. *Weighted random sampling with a reservoir.* Information Processing  Letters, 97 (5), 181-185, 2006.
+
+    This algorithm takes ``O(n + k log k)`` processing time to draw ``k`` elements. It consumes ``n`` random numbers.
+
+.. function:: efraimidis_ares_wsample_norep!([rng], a, wv, x)
+
+    Implementation of weighted sampling without replacement using Efraimidis-Spirakis A-Res algorithm.
+
+    Reference: Efraimidis, P. S., Spirakis, P. G. *Weighted random sampling with a reservoir.* Information Processing  Letters, 97 (5), 181-185, 2006.
+
+    This algorithm takes ``O(k log(k) log(n / k))`` processing time to draw ``k`` elements. It consumes ``n`` random numbers.
+
+.. function:: efraimidis_aexpj_wsample_norep!([rng], a, wv, x)
+
+    Implementation of weighted sampling without replacement using Efraimidis-Spirakis A-ExpJ algorithm.
+
+    Reference: Efraimidis, P. S., Spirakis, P. G. *Weighted random sampling with a reservoir.* Information Processing  Letters, 97 (5), 181-185, 2006.
+
+    This algorithm takes ``O(k log(k) log(n / k))`` processing time to draw ``k`` elements. It consumes ``O(k log(n / k))`` random numbers.