Filter records in a table based on some columns

I have one table (say , table name is "items") as given below.

id	timestamp	name	amount
100	16106800	pqr	10
100	16106800	pqr	0
100	16106400	pqr	15

If there are more than one record with same name and same timestamp then I want to exclude one with zero amount. For example - In the above table , we have two records (first and second records) with same name and same timestamp, so I have to exclude one record with zero amount.

Expected result is as below:

id	timestamp	name	amount
100	16106800	pqr	10
100	16106400	pqr	15

I wrote a query like below but that doesn't work completely.

SELECT *
FROM items w
WHERE EXISTS (
    SELECT *
    FROM items x  
    WHERE x.timestamp = w.timestamp AND x.name=w.name
) AND w.amount > 0

My above query getting failed when all the timestamps are different. If there is no records with same name and same timestamp then it will not exclude anything from items table.

EDIT : If there is only one row with zero amount in that table then it should not be excluded.

Solution

My query produces these results:

If you have only one record despite the amount, it is showed

If you have more than one record, it will show only the records with amount > 0

So, try this:

SELECT *
FROM items t1
WHERE NOT EXISTS 
    (SELECT 1 FROM items t2
    WHERE t1.id = t2.id 
    AND t1.timestamp = t2.timestamp 
    AND t1.name = t2.name
    AND t2.amount > 0)
OR t1.amount > 0

See SQL Fiddle

Be aware: I've written on SQL Fiddle with a different DBMS but the SQL used is standard, so it's OK for SQL Server too.