xudong963 commented on code in PR #15296:
URL: https://github.com/apache/datafusion/pull/15296#discussion_r2002299377


##########
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() {

Review Comment:
   Great, I found the `Interval::union` works with intervals of the same data 
type.
   
   I seems that we can loose the requirement, such as, `Int64` with `Int32`, 
`int` with `float`, etc also can be unioned. 



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