ratio test

American  

noun

Mathematics.

1. the theorem that a given infinite series converges if the absolute value of the ratio of the term succeeding the n th term to the n th term approaches a limit less than 1 as n increases without bound.

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Example Sentences

A likelihood ratio test was conducted to test the null hypothesis that intergenic distances follow an exponential distribution against the alternative hypothesis that the distances follow a mixture of exponential distributions.

From Nature • Nov. 14, 2017

The ratio test may often be used to determine the radius of convergence.

From Textbooks • Mar. 30, 2016

The ratio test will be especially useful in the discussion of power series in the next chapter.

From Textbooks • Mar. 30, 2016

In this section, we prove the last two series convergence tests: the ratio test and the root test.

From Textbooks • Mar. 30, 2016

The ratio test is convenient because it does not require us to find a comparative series.

From Textbooks • Mar. 30, 2016