BEIJING — Two Tibetans died on Wednesday after setting fire to themselves in a Tibetan region of western China to protest Chinese rule, according to reports on Thursday by Tibet advocacy groups and Radio Free Asia, which is financed by the American government. The two Tibetans, monks named Kunchok Woser and Lobsang Dawa, carried out their protest near their monastery in Dzoge County in Sichuan Province, according to Free Tibet, an advocacy group based in London. Radio Free Asia reported earlier that a third person, a 23-year-old woman, had set herself on fire in Dzamthang County of Sichuan, but then issued a new report saying that it could not confirm that episode. The news service said the two acts on Wednesday raised to 118 the number of Tibetans who have set themselves on fire since February 2009, when a young monk named Tapey did so in the town of Ngaba. Chinese security forces have flooded towns across the Tibetan plateau in an effort to stamp out the protests.