Example sentences for: asymptotically

How can you use “asymptotically” in a sentence? Here are some example sentences to help you improve your vocabulary:

  • In practice, ( c ), i (for c = 1, 2) are unknown, and can be estimated using the sample standard deviations (SDs) s ( c ), i . Although the sample SD s ( c ), i is asymptotically unbiased, if m and n are small, s ( c ), i may not be stable, and some modifications may be necessary.

  • This could be done through the use of the log-likelihood ratio test (LRT) to test for the null hypothesis H 0 : g = g 0 against the alternative H 1 : g = g 0 +1 for any given positive integer g 0 . The LRT statistic is 2 log L ( 0 +1) - 2 log L ( 0 ), which, however, does not have the usual asymptotically chi-squared distribution as a result of violation of required regularity conditions (for example, the maximum likelihood estimate may lie in the boundary of its parameter space).


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