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diff --git a/src/main/java/org/apache/commons/math3/distribution/ConstantRealDistribution.java b/src/main/java/org/apache/commons/math3/distribution/ConstantRealDistribution.java
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+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.commons.math3.distribution;
+
+import org.apache.commons.math3.exception.OutOfRangeException;
+
+/**
+ * Implementation of the constant real distribution.
+ *
+ * @since 3.4
+ */
+public class ConstantRealDistribution extends AbstractRealDistribution {
+
+    /** Serialization ID */
+    private static final long serialVersionUID = -4157745166772046273L;
+
+    /** Constant value of the distribution */
+    private final double value;
+
+    /**
+     * Create a constant real distribution with the given value.
+     *
+     * @param value the constant value of this distribution
+     */
+    public ConstantRealDistribution(double value) {
+        super(null); // Avoid creating RandomGenerator
+        this.value = value;
+    }
+
+    /** {@inheritDoc} */
+    public double density(double x) {
+        return x == value ? 1 : 0;
+    }
+
+    /** {@inheritDoc} */
+    public double cumulativeProbability(double x) {
+        return x < value ? 0 : 1;
+    }
+
+    /** {@inheritDoc} */
+    @Override
+    public double inverseCumulativeProbability(final double p) throws OutOfRangeException {
+        if (p < 0.0 || p > 1.0) {
+            throw new OutOfRangeException(p, 0, 1);
+        }
+        return value;
+    }
+
+    /** {@inheritDoc} */
+    public double getNumericalMean() {
+        return value;
+    }
+
+    /** {@inheritDoc} */
+    public double getNumericalVariance() {
+        return 0;
+    }
+
+    /** {@inheritDoc} */
+    public double getSupportLowerBound() {
+        return value;
+    }
+
+    /** {@inheritDoc} */
+    public double getSupportUpperBound() {
+        return value;
+    }
+
+    /** {@inheritDoc} */
+    public boolean isSupportLowerBoundInclusive() {
+        return true;
+    }
+
+    /** {@inheritDoc} */
+    public boolean isSupportUpperBoundInclusive() {
+        return true;
+    }
+
+    /** {@inheritDoc} */
+    public boolean isSupportConnected() {
+        return true;
+    }
+
+    /** {@inheritDoc} */
+    @Override
+    public double sample() {
+        return value;
+    }
+
+    /**
+     * Override with no-op (there is no generator).
+     *
+     * @param seed (ignored)
+     */
+    @Override
+    public void reseedRandomGenerator(long seed) {}
+}