alamb commented on code in PR #14699:
URL: https://github.com/apache/datafusion/pull/14699#discussion_r1966510247


##########
datafusion/physical-expr-common/src/physical_expr.rs:
##########
@@ -144,6 +153,111 @@ pub trait PhysicalExpr: Send + Sync + Display + Debug + 
DynEq + DynHash {
         Ok(Some(vec![]))
     }
 
+    /// Computes the output statistics for the expression, given the input
+    /// statistics.
+    ///
+    /// # Parameters
+    ///
+    /// * `children` are the statistics for the children (inputs) of this
+    ///   expression.
+    ///
+    /// # Returns
+    ///
+    /// A `Result` containing the output statistics for the expression in
+    /// case of success, or an error object in case of failure.
+    ///
+    /// Expressions (should) implement this function and utilize the 
independence
+    /// assumption, match on children distribution types and compute the output
+    /// statistics accordingly. The default implementation simply creates an
+    /// unknown output distribution by combining input ranges. This logic loses
+    /// distribution information, but is a safe default.
+    fn evaluate_statistics(&self, children: &[&StatisticsV2]) -> 
Result<StatisticsV2> {

Review Comment:
   That makes sense
   
   Therefore I recommend renaming `StatisticsV2` to `Distribution` 
   
   This seems farily natural given that all the sub variants are actually 
alread named "XYZDistribution" such as `UniformDistribution`, 
`ExponentialDistribution`, etc. 
   
   For example this seems more consistent:
   ```rust
   pub enum Distribution {
       Uniform(UniformDistribution),
       Exponential(ExponentialDistribution),
       Gaussian(GaussianDistribution),
       Bernoulli(BernoulliDistribution),
       Unknown(UnknownDistribution),
   }
   ```



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