diff --git a/include/boost/accumulators/statistics/extended_p_square_quantile.hpp b/include/boost/accumulators/statistics/extended_p_square_quantile.hpp
index a17843d..d5a610c 100644
--- a/include/boost/accumulators/statistics/extended_p_square_quantile.hpp
+++ b/include/boost/accumulators/statistics/extended_p_square_quantile.hpp
@@ -113,7 +113,7 @@ namespace impl
                     std::ostringstream msg;
                     msg << "probability = " << this->probability << " is not in valid range (";
                     msg << *this->probabilities.begin() << ", " << *(this->probabilities.end() - 1) << ")";
-                    boost::throw_exception(std::runtime_error(msg.str()));
+                    boost::throw_exception(std::logic_error(msg.str()));
                     return Sample(0);
                 }
 
diff --git a/include/boost/accumulators/statistics/peaks_over_threshold.hpp b/include/boost/accumulators/statistics/peaks_over_threshold.hpp
index f04f743..32e844e 100644
--- a/include/boost/accumulators/statistics/peaks_over_threshold.hpp
+++ b/include/boost/accumulators/statistics/peaks_over_threshold.hpp
@@ -14,7 +14,7 @@
 #include <functional>
 #include <boost/config/no_tr1/cmath.hpp> // pow
 #include <sstream> // stringstream
-#include <stdexcept> // runtime_error
+#include <stdexcept> // logic_error
 #include <boost/throw_exception.hpp>
 #include <boost/range.hpp>
 #include <boost/mpl/if.hpp>
@@ -257,7 +257,7 @@ namespace impl
                     {
                         std::ostringstream msg;
                         msg << "index n = " << n << " is not in valid range [0, " << tail(args).size() << ")";
-                        boost::throw_exception(std::runtime_error(msg.str()));
+                        boost::throw_exception(std::logic_error(msg.str()));
                         return boost::make_tuple(Sample(0), Sample(0), Sample(0));
                     }
                 }
diff --git a/include/boost/accumulators/statistics/tail_mean.hpp b/include/boost/accumulators/statistics/tail_mean.hpp
index 67dae37..42aa6ff 100644
--- a/include/boost/accumulators/statistics/tail_mean.hpp
+++ b/include/boost/accumulators/statistics/tail_mean.hpp
@@ -154,7 +154,7 @@ namespace impl
                 {
                     std::ostringstream msg;
                     msg << "index n = " << n << " is not in valid range [0, " << tail(args).size() << ")";
-                    boost::throw_exception(std::runtime_error(msg.str()));
+                    boost::throw_exception(std::logic_error(msg.str()));
                     return Sample(0);
                 }
             }
diff --git a/include/boost/accumulators/statistics/tail_quantile.hpp b/include/boost/accumulators/statistics/tail_quantile.hpp
index 9ff56b5..3bb1d8d 100644
--- a/include/boost/accumulators/statistics/tail_quantile.hpp
+++ b/include/boost/accumulators/statistics/tail_quantile.hpp
@@ -93,7 +93,7 @@ namespace impl
                 {
                     std::ostringstream msg;
                     msg << "index n = " << n << " is not in valid range [0, " << tail(args).size() << ")";
-                    boost::throw_exception(std::runtime_error(msg.str()));
+                    boost::throw_exception(std::logic_error(msg.str()));
                     return Sample(0);
                 }
             }
diff --git a/include/boost/accumulators/statistics/tail_variate_means.hpp b/include/boost/accumulators/statistics/tail_variate_means.hpp
index d34d4ab..acb0a05 100644
--- a/include/boost/accumulators/statistics/tail_variate_means.hpp
+++ b/include/boost/accumulators/statistics/tail_variate_means.hpp
@@ -135,7 +135,7 @@ namespace impl
                 {
                     std::ostringstream msg;
                     msg << "index n = " << n << " is not in valid range [0, " << tail(args).size() << ")";
-                    boost::throw_exception(std::runtime_error(msg.str()));
+                    boost::throw_exception(std::logic_error(msg.str()));
                 }
             }
             return make_iterator_range(this->tail_means_);
diff --git a/include/boost/accumulators/statistics/weighted_peaks_over_threshold.hpp b/include/boost/accumulators/statistics/weighted_peaks_over_threshold.hpp
index 418b38c..18a00a4 100644
--- a/include/boost/accumulators/statistics/weighted_peaks_over_threshold.hpp
+++ b/include/boost/accumulators/statistics/weighted_peaks_over_threshold.hpp
@@ -191,7 +191,7 @@ namespace impl
                         {
                             std::ostringstream msg;
                             msg << "index n = " << n << " is not in valid range [0, " << tail(args).size() << ")";
-                            boost::throw_exception(std::runtime_error(msg.str()));
+                            boost::throw_exception(std::logic_error(msg.str()));
                             return boost::make_tuple(Sample(0), Sample(0), Sample(0));
                         }
                     }
diff --git a/include/boost/accumulators/statistics/weighted_tail_mean.hpp b/include/boost/accumulators/statistics/weighted_tail_mean.hpp
index bae8530..0ee64fb 100644
--- a/include/boost/accumulators/statistics/weighted_tail_mean.hpp
+++ b/include/boost/accumulators/statistics/weighted_tail_mean.hpp
@@ -114,7 +114,7 @@ namespace impl
                     {
                         std::ostringstream msg;
                         msg << "index n = " << n << " is not in valid range [0, " << tail(args).size() << ")";
-                        boost::throw_exception(std::runtime_error(msg.str()));
+                        boost::throw_exception(std::logic_error(msg.str()));
                         return result_type(0);
                     }
                 }
diff --git a/include/boost/accumulators/statistics/weighted_tail_quantile.hpp b/include/boost/accumulators/statistics/weighted_tail_quantile.hpp
index b143457..f33e1ea 100644
--- a/include/boost/accumulators/statistics/weighted_tail_quantile.hpp
+++ b/include/boost/accumulators/statistics/weighted_tail_quantile.hpp
@@ -98,7 +98,7 @@ namespace impl
                     {
                         std::ostringstream msg;
                         msg << "index n = " << n << " is not in valid range [0, " << tail(args).size() << ")";
-                        boost::throw_exception(std::runtime_error(msg.str()));
+                        boost::throw_exception(std::logic_error(msg.str()));
                         return Sample(0);
                     }
                 }
diff --git a/include/boost/accumulators/statistics/weighted_tail_variate_means.hpp b/include/boost/accumulators/statistics/weighted_tail_variate_means.hpp
index 2c90783..225586b 100644
--- a/include/boost/accumulators/statistics/weighted_tail_variate_means.hpp
+++ b/include/boost/accumulators/statistics/weighted_tail_variate_means.hpp
@@ -144,7 +144,7 @@ namespace impl
                     {
                         std::ostringstream msg;
                         msg << "index n = " << n << " is not in valid range [0, " << tail(args).size() << ")";
-                        boost::throw_exception(std::runtime_error(msg.str()));
+                        boost::throw_exception(std::logic_error(msg.str()));
                     }
                 }
             }