theory of probability是什么意思，theory of probability的意思翻译、用法、同义词、例句

常用词典

[数] 概率论

例句

FFT have extensive applications in the field of digital signal processing, theory of probability and so on.

而快速傅立叶变换（FFT）在数字信号处理、概率论等领域中具有非常广泛的应用。

Through the theory of probability, we show the formula of the trinomial option pricing model for finite periods in a stock market.

利用概率论的理论，推导出了某一假定证券市场中有限周期买入期权的三项式期权定价公式。

In this paper, we study the correlation properties with the theory of probability and spectrum for non-linear combiners with memory.

本文主要利用概率论和频谱理论的方法对带记忆的非线性组合生成器的相关性进行了研究。

In this paper, we build up a reasonable probabilistic model for the nonlinear combiner with memory and analyze its correlation properties with the theory of probability and spectrum.

本文主要对带记忆的非线性组合生成器建立了概率模型，并利用概率论和频谱理论的方法对其相关性进行了研究。

The mathematical theory of probability was unknown until that time and you can see that insurance suddenly made an appearance at that time.

在那之前，概率的数学理论，是不存在的，而随着概率论的出现，保险业也突然出现了。

网络扩展资料

概率论（Theory of Probability）是数学的一个分支，研究随机现象或不确定性事件的规律性，通过数学模型量化事件发生的可能性。以下是其核心要点：

1. 基本定义

概率论的核心目标是分析“随机事件”的可能性和规律。例如：

随机事件：结果不确定的现象，如抛硬币（正反面）、骰子点数、天气变化。
概率：用数值（0到1之间）表示事件发生的可能性，0为不可能，1为必然。

2. 公理化基础

1933年，数学家柯尔莫哥洛夫提出概率论的公理化体系，定义了三大公理：

非负性：任何事件的概率非负，即 ( P(A) ge 0 )。
规范性：所有可能事件的概率总和为1，即 ( P(Omega) = 1 )（(Omega)为样本空间）。
可列可加性：互斥事件的概率可相加，即 ( P(A cup B) = P(A) + P(B) )（若(A)与(B)互斥）。

3. 核心概念

随机变量：描述随机结果的变量（如骰子的点数）。
概率分布：随机变量取不同值的概率规律（如正态分布、二项分布）。
期望与方差：衡量随机变量的平均结果（期望）和波动程度（方差）。
条件概率与独立性：事件间的依赖关系，如 ( P(A|B) = frac{P(A cap B)}{P(B)} )。

4. 重要定理

大数定律：大量重复试验中，频率趋近于概率。
中心极限定理：独立随机变量之分布趋近正态分布。
贝叶斯定理：基于新信息更新概率，公式为： $$ P(A|B) = frac{P(B|A)P(A)}{P(B)} $$

5. 应用领域

统计学：数据分析和假设检验。
金融学：风险评估和投资决策。
人工智能：机器学习中的概率模型（如贝叶斯网络）。
自然科学：量子力学、气象预测等。

如果需要进一步学习，建议参考数学教科书（如《概率论与数理统计》）或在线课程（如Coursera的概率基础专项课程）。

网络扩展资料二

"Probability" in Chinese is "概率" (gài lǜ), which refers to the measure of the likelihood of an event happening. The "Theory of Probability" in Chinese is "概率论" (gài lǜ lùn), which is a branch of mathematics that stu***s the properties of random events.

Usage

The theory of probability is widely used in various fields, such as physics, engineering, finance, and sports. It can be used to predict the probability of a certain outcome in a random experiment or to analyze the uncertainty of a system.

For example, in physics, the theory of probability is used in quantum mechanics to describe the behavior of subatomic particles. In finance, the theory of probability is used to calculate the risk of investments and to design trading strategies.

Definition

The theory of probability is a mathematical framework that deals with the study of random events. It involves the calculation of the probability of an event, which is a number between and 1 that measures the likelihood of the event occurring.

For example, if the probability of an event is .5, it means that there is a 50% chance of the event happening, while a probability of means that the event is impossible and a probability of 1 means that the event is certain.

Synonyms

Some synonyms for the theory of probability include:

Probability theory
Stochastic theory
Randomness theory

Antonyms

There are no direct antonyms for the theory of probability, but some related concepts that are opposite in nature include:

Deterministic systems
Certainty
Exactitude

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