diff --git a/Modules/Core/Common/include/itkImageRandomConstIteratorWithIndex.hxx b/Modules/Core/Common/include/itkImageRandomConstIteratorWithIndex.hxx
index 152166c669a..5295a2b7c8d 100644
--- a/Modules/Core/Common/include/itkImageRandomConstIteratorWithIndex.hxx
+++ b/Modules/Core/Common/include/itkImageRandomConstIteratorWithIndex.hxx
@@ -26,12 +26,8 @@ template <typename TImage>
 ImageRandomConstIteratorWithIndex<TImage>::ImageRandomConstIteratorWithIndex(const ImageType *  ptr,
                                                                              const RegionType & region)
   : ImageConstIteratorWithIndex<TImage>(ptr, region)
-{
-  m_NumberOfPixelsInRegion = region.GetNumberOfPixels();
-  m_NumberOfSamplesRequested = 0L;
-  m_NumberOfSamplesDone = 0L;
-  m_Generator = Statistics::MersenneTwisterRandomVariateGenerator::New();
-}
+  , m_NumberOfPixelsInRegion{ region.GetNumberOfPixels() }
+{}
 
 template <typename TImage>
 void
diff --git a/Modules/Core/Common/include/itkImageRandomConstIteratorWithOnlyIndex.hxx b/Modules/Core/Common/include/itkImageRandomConstIteratorWithOnlyIndex.hxx
index 309b0974f2e..fffea4e9941 100644
--- a/Modules/Core/Common/include/itkImageRandomConstIteratorWithOnlyIndex.hxx
+++ b/Modules/Core/Common/include/itkImageRandomConstIteratorWithOnlyIndex.hxx
@@ -26,12 +26,8 @@ template <typename TImage>
 ImageRandomConstIteratorWithOnlyIndex<TImage>::ImageRandomConstIteratorWithOnlyIndex(const ImageType *  ptr,
                                                                                      const RegionType & region)
   : ImageConstIteratorWithOnlyIndex<TImage>(ptr, region)
-{
-  m_NumberOfPixelsInRegion = region.GetNumberOfPixels();
-  m_NumberOfSamplesRequested = 0L;
-  m_NumberOfSamplesDone = 0L;
-  m_Generator = Statistics::MersenneTwisterRandomVariateGenerator::New();
-}
+  , m_NumberOfPixelsInRegion{ region.GetNumberOfPixels() }
+{}
 
 template <typename TImage>
 void