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Использование методов математической статистики для решения некорректных задач

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СОДЕРЖАНИЕ.
ВВЕДЕНИЕ
I. НЕКОРРЕКТНЫЕ ОБРАТНЫЕ ЗАДАЧИ И ТРУДНОСТИ ИХ РЕШЕНИЯ
Некорректность обратной задачи
Алгебраизация некорректной задачи и обусловленность
Приближенное решение некорректных обратных задач
II. ИНФОРМАЦИЯ, ПОЛУЧАЕМАЯ ИЗ ЭКСПЕРИМЕНТА, И РЕШЕНИЕ ОБРАТНОЙ ЗАДАЧИ
Разрешающая способность и информационная метрика
Неопределенность решения обратной задачи
III. ЖЕСТКИЕ АПРИОРНЫЕ ОГРАНИЧЕНИЯ
IV. ВЕРОЯТНОСТНЫЕ ОГРАНИЧЕНИЯ И МЕТОД СТАТИСТИЧЕСКОЙ РЕГУЛЯРИЗАЦИИ
V. ОБРАТНЫЕ ЗАДАЧИ ОПТИЧЕСКОГО ЗОНДИРОВАНИЯ АТМОСФЕРЫ
ЗАКЛЮЧЕНИЕ
ЦИТИРОВАННАЯ ЛИТЕРАТУРА

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English fulltext is available at DOI: 10.1070/PU1971v013n06ABEH004273
PACS: 02.30.Zz, 02.50.−r (все)
DOI: 10.3367/UFNr.0102.197011a.0345
URL: https://ufn.ru/ru/articles/1970/11/a/
Цитата: Турчин В Ф, Козлов В П, Малкевич М С "Использование методов математической статистики для решения некорректных задач" УФН 102 345–386 (1970)
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English citation: Turchin V F, Kozlov V P, Malkevich M S “The use of mathematical-statistics methods in the solution of incorrectly posed problems” Sov. Phys. Usp. 13 681–703 (1971); DOI: 10.1070/PU1971v013n06ABEH004273

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