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diff --git a/elki/src/main/java/de/lmu/ifi/dbs/elki/math/statistics/intrinsicdimensionality/LMomentsEstimator.java b/elki/src/main/java/de/lmu/ifi/dbs/elki/math/statistics/intrinsicdimensionality/LMomentsEstimator.java
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--- /dev/null
+++ b/elki/src/main/java/de/lmu/ifi/dbs/elki/math/statistics/intrinsicdimensionality/LMomentsEstimator.java
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+package de.lmu.ifi.dbs.elki.math.statistics.intrinsicdimensionality;
+
+/*
+ This file is part of ELKI:
+ Environment for Developing KDD-Applications Supported by Index-Structures
+
+ Copyright (C) 2015
+ Ludwig-Maximilians-Universität München
+ Lehr- und Forschungseinheit für Datenbanksysteme
+ ELKI Development Team
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Affero General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ GNU Affero General Public License for more details.
+
+ You should have received a copy of the GNU Affero General Public License
+ along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ */
+import de.lmu.ifi.dbs.elki.math.statistics.ProbabilityWeightedMoments;
+import de.lmu.ifi.dbs.elki.utilities.datastructures.arraylike.NumberArrayAdapter;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.AbstractParameterizer;
+
+/**
+ * Probability weighted moments based estimator using L-Moments.
+ *
+ * Derived from the L-Moments estimation for the exponential distribution.
+ *
+ * @author Jonathan von Brünken
+ * @author Erich Schubert
+ */
+public class LMomentsEstimator extends AbstractIntrinsicDimensionalityEstimator {
+  /**
+   * Static instance.
+   */
+  public static final LMomentsEstimator STATIC = new LMomentsEstimator();
+
+  @Override
+  public <A> double estimate(A data, NumberArrayAdapter<?, A> adapter, final int len) {
+    if(len < 2) {
+      throw new ArithmeticException("ID estimates require at least 2 non-zero distances");
+    }
+    if(len == 2) { // Fallback to MoM
+      double v1 = adapter.getDouble(data, 0) / adapter.getDouble(data, 1);
+      return v1 / (1 - v1);
+    }
+    final int k = len - 1;
+    final double w = adapter.getDouble(data, k);
+    double[] lmom = ProbabilityWeightedMoments.samLMR(data, new ReverseAdapter<>(adapter, len), 2);
+    if(lmom[1] == 0) { // Fallback to first moment only.
+      // TODO: is this the right thing to do? When does this happen?
+      return -.5 * (lmom[0] * 2) / w * (len + .5) * len;
+    }
+    return -.5 * ((lmom[0] * lmom[0] / lmom[1]) - lmom[0]) / w;
+  }
+
+  /**
+   * Adapter to process an array in reverse order.
+   *
+   * @author Erich Schubert
+   *
+   * @param <A> Array type
+   */
+  private static class ReverseAdapter<A> implements NumberArrayAdapter<Double, A> {
+    /**
+     * Last element
+     */
+    private int s;
+
+    /**
+     * Adapter class.
+     */
+    private NumberArrayAdapter<?, A> inner;
+
+    /**
+     * Constructor.
+     *
+     * @param inner Inner adapter
+     * @param size Size of array.
+     */
+    public ReverseAdapter(NumberArrayAdapter<?, A> inner, int size) {
+      this.inner = inner;
+      this.s = size - 1;
+    }
+
+    @Override
+    public int size(A array) {
+      return s + 1;
+    }
+
+    @Override
+    public Double get(A array, int off) throws IndexOutOfBoundsException {
+      return inner.getDouble(array, s - off);
+    }
+
+    @Override
+    public double getDouble(A array, int off) throws IndexOutOfBoundsException {
+      return inner.getDouble(array, s - off);
+    }
+
+    @Override
+    public float getFloat(A array, int off) throws IndexOutOfBoundsException {
+      return inner.getFloat(array, s - off);
+    }
+
+    @Override
+    public int getInteger(A array, int off) throws IndexOutOfBoundsException {
+      return inner.getInteger(array, s - off);
+    }
+
+    @Override
+    public short getShort(A array, int off) throws IndexOutOfBoundsException {
+      return inner.getShort(array, s - off);
+    }
+
+    @Override
+    public long getLong(A array, int off) throws IndexOutOfBoundsException {
+      return inner.getLong(array, s - off);
+    }
+
+    @Override
+    public byte getByte(A array, int off) throws IndexOutOfBoundsException {
+      return inner.getByte(array, s - off);
+    }
+  }
+
+  /**
+   * Parameterization class.
+   *
+   * @author Erich Schubert
+   *
+   * @apiviz.exclude
+   */
+  public static class Parameterizer extends AbstractParameterizer {
+    @Override
+    protected LMomentsEstimator makeInstance() {
+      return STATIC;
+    }
+  }
+}