Players With 100 Career Win Shares, PER Over 21, and Win Shares Per 48 Over .200:
(Notably absent - Hakeem, Garnett and Kobe all do not have a WS/48 above .200).
If you then take these 17 guys and give them points for where they rank in the top 17 for each category of WS, PER and WS/48 (give 17 points for being first, 1 point for being 17th), the 5 best guys are:
Michael Jordan - 47 points
Wilt - 43 points
Kareem and David Robinson (tie) - 38 points
LeBron James - 31 points
Those are your 5 greatest statistical players of all time, with longevity figured in.
Guys who the stats do not support:
Bird - bottom 40% on the list in every category
Magic - everyone always assumes he is a top 5 player; he was not top 5 in any category
Was it Stockton or was it Malone? Stats say it was Malone. He played longer and played better.
Guys Who the Stats Favor - David Robinson (4th best overall, great in PER and WS/48)
Shaq, Duncan, Charles - all very close to LeBron for 5th
Special case - George Mikan was an unbelievable player. #3 and #2 overall in PER and WS/48. But he played so few years that he ranks 17th on this list in total Win Shares. So you could ignore longevity and say he was a top 3 overall player, but then you'd have to go through and pick out the best, for example, 7 seasons for everyone and compare them to Mikan's career. I don't feel like doing that, so we are stuck with giving Mikan a big negative grade for playing so few seasons. Even with a "1" for longevity, he ends up just behind Shaq at 6, tied with Duncan at #7.
Duncan and Mikan (tie)
Stockton, Oscar, Dirk (3-way tie)
16 and 17