From IDC’s Worldwide Quarterly Mobile Phone sales tracking report:

On Apple:

Apple took the wraps off its highly anticipated iPhone 6 and iPhone 6 Plus, and in the process posted its largest third-quarter volume ever. Although the company posted strong results of 10 million units sold during its initial launch weekend, what should not be overlooked is the sustained demand for its older iPhone 5S and 5C models, which comprised the bulk of its volume for the quarter.

On Xiaomi:

Xiaomi jumped into the top 5 list for the first time at the number 3 position thanks to its focus on China and adjacent markets, which resulted in triple-digit year-over-year growth. Key to its success was the launch of its Mi4 smartphone in August, which was positioned as a high-end alternative to the status quo. What remains to be seen is how quickly the company can move beyond its home territories to drive volumes higher.

On Samsung:

Samsung remained the clear leader in the worldwide smartphone market, but was the only company among the top five to see its shipment volume decline year over year. With continued competitive pressure from nearly every side coupled with cooling demand for its high-end devices, the company’s volumes have fallen from their previous highs at the start of the year. Although Samsung has long relied on its high-end devices, its mid-range and low-end models drove volume for the quarter and subsequently drove down ASPs [Average selling price].

From the New York Times:

Samsung Electronics Co Ltd saw its July-September quarterly profit fall to the lowest level in more than three years, as a decline in earnings from its smartphone business set the South Korean giant on track for its worst year since 2011.

The global smartphone leader has lost market share in annual terms for the past two quarters, lagging behind Apple Inc in the premium market and overtaken by rivals like Lenovo Group Ltd and Xiaomi Inc at the bottom end.