Normalize to US English spelling.
diff --git a/commons-rng-examples/examples-jmh/src/main/java/org/apache/commons/rng/examples/jmh/sampling/distribution/PoissonSamplersPerformance.java b/commons-rng-examples/examples-jmh/src/main/java/org/apache/commons/rng/examples/jmh/sampling/distribution/PoissonSamplersPerformance.java
index 1aa2394..d687181 100644
--- a/commons-rng-examples/examples-jmh/src/main/java/org/apache/commons/rng/examples/jmh/sampling/distribution/PoissonSamplersPerformance.java
+++ b/commons-rng-examples/examples-jmh/src/main/java/org/apache/commons/rng/examples/jmh/sampling/distribution/PoissonSamplersPerformance.java
@@ -796,7 +796,7 @@
                 cumulativeProbability[0] = probabilityX;
 
                 guideTable = new int[cumulativeProbability.length + 1];
-                initialiseGuideTable(probabilityX);
+                initializeGuideTable(probabilityX);
             } else {
                 // This will catch NaN mean values
                 throw new IllegalArgumentException("No probability for mean " + mean);
@@ -809,7 +809,7 @@
          *
          * @param p0 the probability for x=0
          */
-        private void initialiseGuideTable(double p0) {
+        private void initializeGuideTable(double p0) {
             for (int index = getGuideTableIndex(p0); index >= 0; index--) {
                 guideTable[index] = 1;
             }
diff --git a/commons-rng-examples/examples-jmh/src/main/java/org/apache/commons/rng/examples/jmh/simple/ConstructionPerformance.java b/commons-rng-examples/examples-jmh/src/main/java/org/apache/commons/rng/examples/jmh/simple/ConstructionPerformance.java
index 0cf8df5..565fe39 100644
--- a/commons-rng-examples/examples-jmh/src/main/java/org/apache/commons/rng/examples/jmh/simple/ConstructionPerformance.java
+++ b/commons-rng-examples/examples-jmh/src/main/java/org/apache/commons/rng/examples/jmh/simple/ConstructionPerformance.java
@@ -143,7 +143,7 @@
     }
 
     /**
-     * Default constructor to initialise state.
+     * Default constructor to initialize state.
      */
     public ConstructionPerformance() {
         values = new Object[SEEDS];
diff --git a/commons-rng-sampling/src/main/java/org/apache/commons/rng/sampling/distribution/LargeMeanPoissonSampler.java b/commons-rng-sampling/src/main/java/org/apache/commons/rng/sampling/distribution/LargeMeanPoissonSampler.java
index d2ea63c..d568820 100644
--- a/commons-rng-sampling/src/main/java/org/apache/commons/rng/sampling/distribution/LargeMeanPoissonSampler.java
+++ b/commons-rng-sampling/src/main/java/org/apache/commons/rng/sampling/distribution/LargeMeanPoissonSampler.java
@@ -182,7 +182,7 @@
         // Plain constructor uses the uncached function.
         factorialLog = NO_CACHE_FACTORIAL_LOG;
 
-        // Use the state to initialise the algorithm
+        // Use the state to initialize the algorithm
         lambda = state.getLambdaRaw();
         logLambda = state.getLogLambda();
         logLambdaFactorial = state.getLogLambdaFactorial();
diff --git a/commons-rng-sampling/src/test/java/org/apache/commons/rng/sampling/CombinationSamplerTest.java b/commons-rng-sampling/src/test/java/org/apache/commons/rng/sampling/CombinationSamplerTest.java
index 928ff1b..1e5a27e 100644
--- a/commons-rng-sampling/src/test/java/org/apache/commons/rng/sampling/CombinationSamplerTest.java
+++ b/commons-rng-sampling/src/test/java/org/apache/commons/rng/sampling/CombinationSamplerTest.java
@@ -162,7 +162,7 @@
         // otherwise they are negative.
         final int totalBitCombinations = 1 << n;
         int[] codeLookup = new int[totalBitCombinations];
-        Arrays.fill(codeLookup, -1); // initialise as negative
+        Arrays.fill(codeLookup, -1); // initialize as negative
         int codes = 0;
         for (int i = 0; i < totalBitCombinations; i++) {
             if (Integer.bitCount(i) == k) {