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Математическая обработка результатов геодезических измерений
Оборот титула
Table of contents
ПРЕДИСЛОВИЕ
Раздел I. СПРАВОЧНЫЕ СВЕДЕНИЯ ИЗ ТЕОРИИ ВЕРОЯТНОСТЕЙ
+
Раздел II. СПРАВОЧНЫЕ СВЕДЕНИЯ ИЗ МАТЕМАТИЧЕСКОЙ СТАТИСТИКИ
-
5. ОСНОВНЫЕ ПОНЯТИЯ МАТЕМАТИЧЕСКОЙ СТАТИСТИКИ
5.1. Понятие генеральной совокупности
5.2. Выборка из генеральной совокупности
5.3. Основные задачи математической статистики
6. ТОЧЕЧНАЯ ОЦЕНКА ПАРАМЕТРОВ ГЕНЕРАЛЬНОЙ СОВОКУПНОСТИ
6.1. Общие сведения
6.2. Методы построения оценок
6.3. Оценка математического ожидания
6.4. Оценка дисперсии и среднеквадратического отклонения
6.5. Оценка моментов
6.6. Выборочный коэффициент корреляции
6.7. Примеры решения типовых задач
6.8. Задачи для самостоятельного решения
7. ДОВЕРИТЕЛЬНАЯ ОЦЕНКА ПАРАМЕТРОВ
7.1. Общие положения
7.2. Доверительный интервал для математического ожидания
7.3. Доверительный интервал для дисперсии
7.4. Доверительный интервал для среднеквадратического отклонения
7.5. Доверительный интервал для выборочного коэффициента корреляции
7.6. Примеры решения типовых задач
7.7. Задачи для самостоятельного решения
8. ПРОВЕРКА СТАТИСТИЧЕСКИХ ГИПОТЕЗ
8.1. Общие положения по проверке статистических гипотез
8.2. Сравнение двух средних
8.3. Сравнение выборочной средней с гипотетической генеральной средней
8.4. Критерий Аббе
8.5. Сравнение дисперсий
8.6. Проверка гипотезы о значимости выборочного коэффициента корреляции
8.7. Проверка гипотезы о нормальном распределении генеральной совокупности
8.8. Примеры решения типовых задач
8.9. Задачи для самостоятельного решения
9. КОРРЕЛЯЦИОННЫЙ, РЕГРЕССИОННЫЙ И ДИСПЕРСИОННЫЙ АНАЛИЗЫ
9.1. Общие положения
9.2. Корреляционный анализ
9.3. Регрессионный анализ
9.4. Однофакторный дисперсионный анализ
9.5. Оценка автокорреляционной функции рядов результатов наблюдений
9.6. Примеры решения типовых задач
9.7. Задачи для самостоятельного решения
Раздел III. КЛАССИЧЕСКАЯ ТЕОРИЯ ПОГРЕШНОСТЕЙ
+
Раздел IV. ЭЛЕМЕНТЫ ТЕОРИИ ПОГРЕШНОСТЕЙ ЗАВИСИМЫХ РЕЗУЛЬТАТОВ ИЗМЕРЕНИЙ
+
Раздел V. ОБЩИЕ ПРИНЦИПЫ УРАВНИВАНИЯ ГЕОДЕЗИЧЕСКИХ СЕТЕЙ ПО МЕТОДУ НАИМЕНЬШИХ КВАДРАТОВ
+
Раздел VI. ОПРЕДЕЛЕНИЕ ПАРАМЕТРОВ ЭМПИРИЧЕСКИХ ФОРМУЛ ПО МЕТОДУ НАИМЕНЬШИХ КВАДРАТОВ
+
Заключение
Библиографический список
ПРИЛОЖЕНИЯ
Close Menu
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Раздел II. СПРАВОЧНЫЕ СВЕДЕНИЯ ИЗ МАТЕМАТИЧЕСКОЙ СТАТИСТИКИ
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Математическая обработка результатов геодезических измерений
Table of contents
ПРЕДИСЛОВИЕ
Раздел I. СПРАВОЧНЫЕ СВЕДЕНИЯ ИЗ ТЕОРИИ ВЕРОЯТНОСТЕЙ
+
Раздел II. СПРАВОЧНЫЕ СВЕДЕНИЯ ИЗ МАТЕМАТИЧЕСКОЙ СТАТИСТИКИ
-
5. ОСНОВНЫЕ ПОНЯТИЯ МАТЕМАТИЧЕСКОЙ СТАТИСТИКИ
5.1. Понятие генеральной совокупности
5.2. Выборка из генеральной совокупности
5.3. Основные задачи математической статистики
6. ТОЧЕЧНАЯ ОЦЕНКА ПАРАМЕТРОВ ГЕНЕРАЛЬНОЙ СОВОКУПНОСТИ
6.1. Общие сведения
6.2. Методы построения оценок
6.3. Оценка математического ожидания
6.4. Оценка дисперсии и среднеквадратического отклонения
6.5. Оценка моментов
6.6. Выборочный коэффициент корреляции
6.7. Примеры решения типовых задач
6.8. Задачи для самостоятельного решения
7. ДОВЕРИТЕЛЬНАЯ ОЦЕНКА ПАРАМЕТРОВ
7.1. Общие положения
7.2. Доверительный интервал для математического ожидания
7.3. Доверительный интервал для дисперсии
7.4. Доверительный интервал для среднеквадратического отклонения
7.5. Доверительный интервал для выборочного коэффициента корреляции
7.6. Примеры решения типовых задач
7.7. Задачи для самостоятельного решения
8. ПРОВЕРКА СТАТИСТИЧЕСКИХ ГИПОТЕЗ
8.1. Общие положения по проверке статистических гипотез
8.2. Сравнение двух средних
8.3. Сравнение выборочной средней с гипотетической генеральной средней
8.4. Критерий Аббе
8.5. Сравнение дисперсий
8.6. Проверка гипотезы о значимости выборочного коэффициента корреляции
8.7. Проверка гипотезы о нормальном распределении генеральной совокупности
8.8. Примеры решения типовых задач
8.9. Задачи для самостоятельного решения
9. КОРРЕЛЯЦИОННЫЙ, РЕГРЕССИОННЫЙ И ДИСПЕРСИОННЫЙ АНАЛИЗЫ
9.1. Общие положения
9.2. Корреляционный анализ
9.3. Регрессионный анализ
9.4. Однофакторный дисперсионный анализ
9.5. Оценка автокорреляционной функции рядов результатов наблюдений
9.6. Примеры решения типовых задач
9.7. Задачи для самостоятельного решения
Раздел III. КЛАССИЧЕСКАЯ ТЕОРИЯ ПОГРЕШНОСТЕЙ
+
Раздел IV. ЭЛЕМЕНТЫ ТЕОРИИ ПОГРЕШНОСТЕЙ ЗАВИСИМЫХ РЕЗУЛЬТАТОВ ИЗМЕРЕНИЙ
+
Раздел V. ОБЩИЕ ПРИНЦИПЫ УРАВНИВАНИЯ ГЕОДЕЗИЧЕСКИХ СЕТЕЙ ПО МЕТОДУ НАИМЕНЬШИХ КВАДРАТОВ
+
Раздел VI. ОПРЕДЕЛЕНИЕ ПАРАМЕТРОВ ЭМПИРИЧЕСКИХ ФОРМУЛ ПО МЕТОДУ НАИМЕНЬШИХ КВАДРАТОВ
+
Заключение
Библиографический список
ПРИЛОЖЕНИЯ
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