Adjective
/ˌeɪ.sɪmˈtɒt.ɪ.kli ˈroʊ.bʌst/
The term "asymptotically robust" is primarily used in mathematical and statistical contexts. It refers to the properties of an estimator or a statistical technique that maintain their reliability even as the sample size tends to infinity or under certain theoretical conditions. The usage of "asymptotic" often implies a limiting behavior, and "robust" suggests resilience against deviations from assumptions or models.
Frequency of use is more prevalent in written contexts, particularly in academic papers, research articles, and discussions in statistics or econometrics. It is somewhat niche and may not be frequently used in everyday conversation.
Example sentences: - The new statistical method was shown to be asymptotically robust, which means it performs well even with large sample sizes. - Новый статистический метод оказался асимптотически устойчивым, что означает, что он хорошо работает даже с большими размерами выборки.
While "asymptotically robust" itself isn't commonly found in idiomatic expressions, related concepts may appear in technical jargon or discussions. Here are a few ways to interpret the term in related phrases:
"Асимптотическая эффективность" относится к тому, насколько хорошо оценитель работает относительно наилучшей возможной эффективности по мере увеличения размера выборки.
"Robust statistics" denotes methods that provide reliable results under a variety of conditions.
"Устойчивые статистики" обозначают методы, которые обеспечивают надежные результаты в различных условиях.
"Asymptotic behavior" discusses how a function behaves as its argument approaches a limit.
The term "asymptotic" comes from the Greek word "asymptotos," meaning "not falling together," combined with "robust," which originates from the Latin word "robur," meaning "strength."
Synonyms: - Asymptotic: limiting, bound, convergent - Robust: strong, resilient, sturdy
Antonyms: - Asymptotic: divergent, unstable - Robust: fragile, weak, delicate