diff --git a/pystac/extensions/pointcloud.py b/pystac/extensions/pointcloud.py
index 67fb62e..fb1d3e6 100644
--- a/pystac/extensions/pointcloud.py
+++ b/pystac/extensions/pointcloud.py
@@ -14,6 +14,7 @@ from pystac.extensions.base import (
 from pystac.extensions.hooks import ExtensionHooks
 from pystac.summaries import RangeSummary
 from pystac.utils import map_opt, get_required
+from pystac.errors import RequiredPropertyMissing
 
 T = TypeVar("T", pystac.Item, pystac.Asset)
 
@@ -90,9 +91,7 @@ class Schema:
         """Gets or sets the size value."""
         result: Optional[int] = self.properties.get("size")
         if result is None:
-            raise pystac.STACError(
-                f"Pointcloud schema does not have size property: {self.properties}"
-            )
+            raise RequiredPropertyMissing(self, "size")
         return result
 
     @size.setter
@@ -107,9 +106,7 @@ class Schema:
         """Gets or sets the name property for this Schema."""
         result: Optional[str] = self.properties.get("name")
         if result is None:
-            raise pystac.STACError(
-                f"Pointcloud schema does not have name property: {self.properties}"
-            )
+            raise RequiredPropertyMissing(self, "name")
         return result
 
     @name.setter
@@ -127,9 +124,10 @@ class Schema:
         self.properties["type"] = v
 
     def __repr__(self) -> str:
-        return "<Schema name={} size={} type={}>".format(
-            self.name, self.size, self.type
-        )
+        name = self.properties.get("name", "<missing>")
+        size = self.properties.get("size", "<missing>")
+        typ = self.properties.get("type", "<missing>")
+        return f"<Schema name={name} size={size} type={typ}>"
 
     def to_dict(self) -> Dict[str, Any]:
         """Returns a JSON-like dictionary representing this ``Schema``."""
@@ -219,9 +217,7 @@ class Statistic:
         """Gets or sets the name property."""
         result: Optional[str] = self.properties.get("name")
         if result is None:
-            raise pystac.STACError(
-                f"Pointcloud statistics does not have name property: {self.properties}"
-            )
+            raise RequiredPropertyMissing(self, "name")
         return result
 
     @name.setter