ozankabak commented on code in PR #14699:
URL: https://github.com/apache/datafusion/pull/14699#discussion_r1966454968


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datafusion/expr-common/src/statistics.rs:
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@@ -0,0 +1,1610 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+
+use std::f64::consts::LN_2;
+
+use crate::interval_arithmetic::{apply_operator, Interval};
+use crate::operator::Operator;
+use crate::type_coercion::binary::binary_numeric_coercion;
+
+use arrow::array::ArrowNativeTypeOp;
+use arrow::datatypes::DataType;
+use datafusion_common::rounding::alter_fp_rounding_mode;
+use datafusion_common::{internal_err, not_impl_err, Result, ScalarValue};
+
+/// New, enhanced `Statistics` definition, represents five core statistical

Review Comment:
   Yes that is indeed the real challenge -- evaluation and propagation 
procedures need to match to distribution types. For example, adding two 
normally distributed (Gaussian) quantities results in also a normally 
distributed quantity. During the design phase, @berkaysynnada and I discussed 
whether we can use a trait-based approach but couldn't find a way to do this 
without excessive downcasting.



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