The upset left only three of the top 10 seeds still alive in the year's final Grand Slam - number one Serena Williams, who is seeking the fourth women's calendar-year Grand Slam, second seed Simona Halep and fifth seed Petra Kvitova.
Murray had battled his way back from two sets down in the second round against France's Adrian Mannarino, but could not work another miracle against the 14th-ranked, 29-year-old Anderson, who swept the final tiebreak 7-0.
Angelique Kerber, who will reclaim the world number one ranking on Monday, breezed to a 6-2, 6-1 second-round victory over fellow German Andrea Petkovic at the BNP Paribas Open on Saturday.
Caroline Wozniacki became the biggest name to fall at the BNP Paribas Open.
With the unique format at the WTA Finals, it is all about how you finish rather than how you start as new champion Agnieszka Radwanska proved perfectly in Singapore this week.
Unlike the women's US Open final there was no centre court retirement announcement on Sunday with Roger Federer putting aside the disappointment of losing to Novak Djokovic in the men's final to tell fans he will be back.
'I don't know. It's tough to explain my emotion right now. Maybe tomorrow morning I can tell you something, but now it's amazing'
A summary of the matches from Day 9 at the French Open.
With Serena Williams vying to safeguard her World No 1 ranking and Djokovic fighting off a wrist injury, expect to see a few surprises at the fourth and final Grand Slam of the year
Inspired Vinci rallies to beat World No 1 and then tells US crowd: 'But today is my day. Sorry guys'
Australia's Samantha Stosur failed to allay fears she could be heading for another early exit at her home Grand Slam with a scrappy performance in Hobart while a trio of big names tumbled out of the Sydney International on Monday.
After a rough past couple of months that included a tight loss to Maria Sharapova at the French Open and an injury-enforced withdrawal from Wimbledon, World No 3 Victoria Azarenka enters the Southern California Open as hungry as ever.
Top seed Serena Williams turned an early challenge into an eventual cakewalk as she beat Russian-born Yulia Putintseva 7-6(2), 6-0 in the third round of the BNP Paribas Open in California on Sunday.
The All England Club's medical rooms were overflowing as the third day of Wimbledon resembled a casualty ward with Rafa Nadal's conqueror Steve Darcis one of five players to withdraw injured before mid-afternoon on Wednesday.
Flavia Agnes, lawyer and founder of women's legal aid group Majlis, provides a contrary view to criminalising marital rape.
Spain's Garbine Muguruza moved to the brink of the WTA Finals last four with a 6-4, 6-4 win over Angelique Kerber on Wednesday after Petra Kvitova opened her account with a 7-5, 7-5 victory over fellow Czech Lucie Safarova.
Former World No 1 Ana Ivanovic was upset 7-5, 6-4 by 42nd-ranked Karolina Pliskova of the Czech Republic in the second round of the US Open on Thursday.
In 2012, with one million deaths, China reported the highest toll from PM2.5 and PM10 pollution. At the time, India followed, reporting 621,138 deaths, nearly 10 per cent of the global toll associated with outdoor and indoor air pollution
The tension mounted and temperatures soared at the U.S. Open as top seed Novak Djokovic and Andy Murray set up a sensational quarter-final, and Serena Williams made a 2014 grand slam breakthrough.
The weekly fashion round-up, where we bring you the latest on supermodels, style, designers and everything in between.
Wimbledon's genteel surrounds resembled Saturday night on a casualty ward as injuries saw seven players withdraw or retire and third seed Maria Sharapova stumble to a shock second-round defeat on Wednesday.
Roger Federer returned from a month-long layoff with a 6-4, 6-4 second round victory over Roberto Bautista Agut on Tuesday at the Western and Southern Open in Cincinnati.
A misfiring Rafael Nadal had trouble hitting the mark but the third seeded Spaniard still had enough to beat American Donald Young 6-4, 6-2 on Tuesday and advance to the fourth round of the BNP Paribas Open.
The Hindutva brigade's silence on the rape may possibly be explained that this incident is an intra-Hindu affair for them. What is even more intriguing is that vocal gender activists have preferred to almost ignore the incident. Why? Is it because homosexual rape does not involve the woman either as victim or as aggressor, asks Mohammad Sajjad.
Alize Cornet fought tooth and nail but the local favourite's French Open run came to an end when she was knocked out 6-2, 7-6(9) in the fourth round by Ukrainian 19th seed Elina Svitolina on Sunday.
The ATP issued the latest men's tennis rankings on Monday and the top 10 list remains unchanged with Serbian tennis ace Novak Djokovic still leading the rankings.
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