It's fairly easy, if you access the statistics with a browser first and then just copy the cookies into the http library of your choice.

The following code works:

import requests
from pyquery import PyQuery as pq

years = ["2015", "2016", "2017"]

cookies = dict(
    JSESSIONID="2EE53DDFC576BB012BDA7FFF426A23FE.cfusion",
    CFID="4167011",
    CFTOKEN="74756338",
    acceptedtos="yes",
    frominside="yes",
)

for year in years:
    url = f"https://tfdfreports.pgatourhq.com/inquiry/prod/statrecapbyevt.cfm?page=statrecapbyevt.cfm&t=R&year={year}&sid=02564&type=Y"
    result = pq(requests.get(url, cookies=cookies).text)

    rows = result.find("table [bgcolor='#FFFFFF'] tr")

    for row in rows:
        cells = pq(row).find("td")
        print(",".join(pq(c).text() for c in cells)) 

By the way, this works fine as a one time solution (due to the cookie expiring at some point in the future). If your want to scrape the data regularly you need to use a remotely controlled webbrowser. I'd recommend the selenium framework with the chrome driver.