"DBCC DBReindex" VS "Update Statistics"

Hi all,
Is it neccessay to run the "Update Statistics" after run "DBCC DBReindex"? Does "Update Statistics" automatically update the stats?
Thanks in advance
Kim,As you can see DBCC DBREINDEX updates statistics by itself - it is no need to update statistics after DBCC DBREINDEX.

drop table test
create table test(id int identity,code varchar(10))
create index test_i on test(id)
go
insert test(code) values('a')
insert test(code) values('b')
insert test(code) values('c')
insert test(code) values('d')
insert test(code) values('e')
go
UPDATE STATISTICS test
go
SELECT STATS_DATE(i.id, i.indid)
FROM sysobjects o, sysindexes i
WHERE o.name = 'test' AND o.id = i.id and i.name='test_i'
go
DBCC DBREINDEX ('test')
SELECT STATS_DATE(i.id, i.indid)
FROM sysobjects o, sysindexes i
WHERE o.name = 'test' AND o.id = i.id and i.name='test_i'
go