[数] 数理统计；数学统计
The basic methods of the mathematical statistics used to treat data of the voltage breakdown tests on cables with extruded insulation are presented.
本文叙述了威布尔数理统计的基本方法，用以对挤包绝缘电缆的电压击穿试验进行数据处理；
It should be pointed out that the results of mathematical statistics have a certain representation, but it is restricted by the quantity and quality of samples.
应该指出，数理统计的结果具有一定的代表性，但是这一结果受到样本的数目和质量的控制。
Through the way of mathematical statistics, we make regression analysis to some groups of data, and then fit the curve between them.
根据数理统计的原理，对多组数据进行回归方差分析，然后拟合出它们之间的回归曲线。
However, methods of mathematical statistics and comprehensive analysis of influencing factors are not enough to stu***s of population quality of one city.
但是，就一个城市的人口素质研究而言，数理统计的方法与影响因素的综合分析研究还不多见。
By analyzing each error source of power meter calibration device, the uncertainty of power meter calibration device is analyzed and calculated with mathematical statistics and experimental method.
通过对电能表校验装置的各项误差源的分析，利用数理统计和实验方法对电能表校验装置的不确定度进行分析和计算。
By model experiment, the parameters of slit holder are optimized turning to variance analysis theory of mathematical statistics in order to guide engineering project.
通过模型试验，运用数理统计的方差分析理论对切缝套管的参数进行技术优化，以指导工程实践。
Do some interrelated analyses about the changes of the students body quality during their college period with the method of Mathematical Statistics and get some guiding conclusions.
本文运用数理统计方法，对学生在大学阶段身体素质的变化进行了相关分析，得到一些由指导作用的结论。
With permutation and mathematical statistics, this paper analyses and exposes three Kinds of lottery, and thus exhorts people not to be taken in.
对三类抽奖活动本文利用排列组合与数理统计等知识，进行了分析、揭露，以此告诫人们不要上当受骗。
Analyses the protect zone of lightning arrester by the method to use mathematical statistics, choose the best lightning arrester to protect the building, and quote the example of lightning disaster.
运用数理统计方法对接闪器的保护范围进行分析，选择最佳的接闪器保护建筑物，并引用雷击事故的事例加以说明。
Mathematical statistics (also called statistical theory) is the branch of applied mathematics that uses probability theory and analysis to examine the theoretical basis of statistics.
数理统计（也称为统计理论）是应用数学分支，利用概率论和分析研究的理论基础的统计数据。
In order to improve the quality of financial projections, regression analysis is an effective way to use mathematical statistics related to the principles of data results more convincing.
为了改进财务预测的质量，回归分析则不失为一种有效的方法，利用数理统计的相关原理使数据预测结果更具有说服力。
Finally several parameters for second generation infrared hot-box alarm criteria are determined by means of the probability theory and the mathematical statistics.
运用概率论和数理统计方法，确定了第二代红外线热轴判别标准的几个主要参数的计算机算法。
The mathematical statistics method was used formerly as multilinear compound model to analyse the compound hybrid advantage, which requires large amount of data and complicated calculation.
对综合杂种优势，以前常采用多元线性混合模型等数理统计的方法分析，这需要大量的数据，计算也较复杂。
Through production experiences for many years and with the theory of mathematical statistics, the author analyses the causes for the survey ship tilting.
作者通过多年的生产实践，利用数理统计理论对水下地形测量中测船倾斜产生的原因进行了科学的分析。
Determining the index of days through the analysis for mathematical statistics, and controlling effectively the burning-rate performance of the full-size solid engine.
通过数理统计分析确定了存放天数指标，并在批量生产中有效地控制了全尺寸固体发动机燃速性能。
The calculation formula of flexural load capacity of steel beams is obtained by using the error transfer formula of mathematical statistics.
运用数理统计学的误差传递公式，推导出了钢梁截面抗弯承载力统计参数的计算公式。
The effect of smelting parameters of a ferromanganese blast furnace on evaporated cooling is analyzed by mathematical statistics.
本文用数理统计的方法分析了锰铁高炉冶炼参数对汽化冷却的影响。
In the producing, we apply the theory of mathematical statistics, for improving the quality control and optimizing the equipment and the personnal administration.
在生产过程中，运用数理统计学的原理，改进质量控制，优化设备和人事组织管理。
By using photograph analysis and mathematical statistics, the writers of this article compared the body posture of two levels of male athletes in sustaining phase.
采用摄像解析法和数理统计法，对男子短跑一、二级运动员途中跑支撑阶段的“身体姿位”参量进行比较研究。
The series formulas of conditional probability are important points in the Probability and Mathematical Statistics course.
条件概率系列公式是“概率论与数理统计”课程的重要知识点。
Through the literature, questionnaire survey method and mathematical statistics Study of Dalian City, eight colleges and universities to carry out the status and problems of tennis.
通过文献资料法、问卷调查法和数理统计法研究大连市八所高校网球运动的开展现状和存在问题。
By using the methods of literature review, mathematical statistics and logic analysis, this paper analyzes 155 tennis research papers published from 1988 to 2007 on 13 sport core periodicals.
运用文献资料、数理统计和逻辑分析等方法，对1988-2007年间我国13种中文体育类核心期刊上发表155篇网球科研论文进行统计分析。
The field of capture-recapture and removal is an important direction of mathematical statistics, which stu***s the estimation of the sizes of finite populations from incomplete random samples.
捕获再捕获与捕获移出研究是数理统计的一个重要方向，它研究如何利用随机样本估计有限群体的总体数目。
This article will discuss the factors that restricting the enhancement of athletics level of CUBA′s excellent group via questionnaire inquisition, interview with experts, mathematical statistics, etc.
本文通过问卷调查、专家访谈和数理统计等方法，探讨制约CUBA优秀队伍竞技水平提高的因素，并提出合理的建议。
数理统计学（mathematical statistics）是以概率论为基础，运用数学方法研究数据收集、分析和解释的学科分支。其核心目标是通过建立统计模型和推断理论，从随机性数据中提取规律并作出科学决策。该领域包含参数估计、假设检验、回归分析、方差分析四大基础理论体系，其中极大似然估计和贝叶斯推断构成现代统计推断的两大范式。
在理论建构方面，数理统计学严格依赖测度论和泛函分析等数学工具，将概率空间、随机变量、分布函数等概念形式化。美国统计协会（ASA）在《数理统计年鉴》中指出，大样本理论中的中心极限定理和重对数律构成了现代统计推断的数学基础。中国科学技术大学统计系教材特别强调，统计决策理论中风险函数与损失函数的量化分析，体现了数学建模在统计优化中的核心作用。
实际应用中，该学科为医学临床试验（生存分析）、金融工程（风险价值模型）、人工智能（深度学习正则化）等领域提供理论支撑。哈佛大学统计系研究显示，高维统计推断方法已成功应用于基因组学数据分析，通过Lasso回归实现基因标记物的有效筛选。英国皇家统计学会2024年度报告证实，随机过程理论在气候模型预测中的创新应用，显著提升了极端天气事件预测的准确度。
"Mathematical statistics"（数理统计学）是统计学中基于数学理论和概率论的分支，主要研究如何通过数学模型对数据进行收集、分析、解释和推断。其核心内容包括：
与传统应用统计学的区别在于，数理统计更注重数学证明和理论推导，而非单纯的数据处理技术。例如，它不仅说明如何使用t检验，还会推导t分布的概率密度函数及其性质。
典型公式示例： $$ hat{theta}{MLE} = argmax{theta} L(theta; x_1,...,x_n) $$ （最大似然估计量公式，其中$L$为似然函数）
该学科需要微积分、线性代数和实分析等数学工具支撑，是现代数据科学的重要理论基石。
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