xudong963 commented on code in PR #15296:
URL: https://github.com/apache/datafusion/pull/15296#discussion_r2004911809


##########
datafusion/expr-common/src/statistics.rs:
##########
@@ -857,6 +857,143 @@ pub fn compute_variance(
     ScalarValue::try_from(target_type)
 }
 
+/// Merges two distributions into a single distribution that represents their 
combined statistics.
+/// This creates a more general distribution that approximates the mixture of 
the input distributions.
+pub fn merge_distributions(a: &Distribution, b: &Distribution) -> 
Result<Distribution> {
+    let range_a = a.range()?;
+    let range_b = b.range()?;
+
+    // Determine data type and create combined range
+    let combined_range = if range_a.is_unbounded() || range_b.is_unbounded() {
+        Interval::make_unbounded(&range_a.data_type())?
+    } else {
+        // Take the widest possible range conservatively
+        let lower_a = range_a.lower();
+        let lower_b = range_b.lower();
+        let upper_a = range_a.upper();
+        let upper_b = range_b.upper();
+
+        let combined_lower = if lower_a.lt(lower_b) {
+            lower_a.clone()
+        } else {
+            lower_b.clone()
+        };
+
+        let combined_upper = if upper_a.gt(upper_b) {
+            upper_a.clone()
+        } else {
+            upper_b.clone()
+        };
+
+        Interval::try_new(combined_lower, combined_upper)?
+    };
+
+    // Calculate weights for the mixture distribution

Review Comment:
   And also ping @kosiew , do you have any thoughts for the new way to compute 
the weight?



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