CBO behaviour with stale statistics

Hi,
our company sells an application based on an Oracle database. One of our customers has reported what I regard as odd behaviour from the CBO. I wonder if anyone here can confirm my understanding of how the CBO uses statistics to determine the optimal execution plan.
The reported issue is this:
There are a number of large (100 million rows+) tables in the application, these are partitioned by date and are subject to both inserts and updates although and although theoretically any date could be the subject of a change, these tend to concentrated towards the most recent dates. The customer analyses the tables with a sample size of 25% every few days. They claim that if they do not do this then the CBO starts choosing very non-optimal plans and this gets worse the longer that they leave it.
As I understand it the CBO will use the statistics on a table. Even if those statistics are stale it does not have anything better to base a decision on so it must use the statistics that are there. In which case even though a plan may be chosen that is non-optimal given a new set of data, it should choose the same plan each time given the same query and the same set of statistics.
Any thoughts?

qwe10730 wrote:
As I understand it the CBO will use the statistics on a table. Even if those statistics are stale it does not have anything better to base a decision on so it must use the statistics that are there. In which case even though a plan may be chosen that is non-optimal given a new set of data, it should choose the same plan each time given the same query and the same set of statistics.
This could be a case of the query only looking the same. As you said, most of the action is about the last few days.
If they only collect statistics every few days then as time passes they are going to be running queries about data that doesn't appear to exist.
If you have queries for a single recent partition, then Oracle could produce a plan based on its expectation of a complete absence of data. If you have queries for yesterday's data when the statistics haven't been updated since last week Oracle will produce a plan based on the fact that the volume of data is probably less than it would have been a week ago. (etc.....)
Doug Burns has started an interesting series of posts on partitioned tables and statistics - it may not cover all the details you need at present (he's only published 5 of a possible 10 posts so far). I've listed them here: http://jonathanlewis.wordpress.com/2010/03/17/partition-stats/ but the first one is here: http://oracledoug.com/serendipity/index.php?/archives/1562-Statistics-on-Partitioned-Tables-Part-1.html
Regards
Jonathan Lewis
http://jonathanlewis.wordpress.com
http://www.jlcomp.demon.co.uk
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