[數] 數理統計；數學統計
The basic methods of the mathematical statistics used to treat data of the voltage breakdown tests on cables with extruded insulation are presented.
本文叙述了威布爾數理統計的基本方法，用以對擠包絕緣電纜的電壓擊穿試驗進行數據處理；
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.
應該指出，數理統計的結果具有一定的代表性，但是這一結果受到樣本的數目和質量的控制。
Through the way of mathematical statistics, we make regression analysis to some groups of data, and then fit the curve between them.
根據數理統計的原理，對多組數據進行回歸方差分析，然後拟合出它們之間的回歸曲線。
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，就一個城市的人口素質研究而言，數理統計的方法與影響因素的綜合分析研究還不多見。
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.
通過對電能表校驗裝置的各項誤差源的分析，利用數理統計和實驗方法對電能表校驗裝置的不确定度進行分析和計算。
By model experiment, the parameters of slit holder are optimized turning to variance analysis theory of mathematical statistics in order to guide engineering project.
通過模型試驗，運用數理統計的方差分析理論對切縫套管的參數進行技術優化，以指導工程實踐。
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.
本文運用數理統計方法，對學生在大學階段身體素質的變化進行了相關分析，得到一些由指導作用的結論。
With permutation and mathematical statistics, this paper analyses and exposes three Kinds of lottery, and thus exhorts people not to be taken in.
對三類抽獎活動本文利用排列組合與數理統計等知識，進行了分析、揭露，以此告誡人們不要上當受騙。
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.
運用數理統計方法對接閃器的保護範圍進行分析，選擇最佳的接閃器保護建築物，并引用雷擊事故的事例加以說明。
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.
數理統計（也稱為統計理論）是應用數學分支，利用概率論和分析研究的理論基礎的統計數據。
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.
為了改進財務預測的質量，回歸分析則不失為一種有效的方法，利用數理統計的相關原理使數據預測結果更具有說服力。
Finally several parameters for second generation infrared hot-box alarm criteria are determined by means of the probability theory and the mathematical statistics.
運用概率論和數理統計方法，确定了第二代紅外線熱軸判别标準的幾個主要參數的計算機算法。
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.
對綜合雜種優勢，以前常采用多元線性混合模型等數理統計的方法分析，這需要大量的數據，計算也較複雜。
Through production experiences for many years and with the theory of mathematical statistics, the author analyses the causes for the survey ship tilting.
作者通過多年的生産實踐，利用數理統計理論對水下地形測量中測船傾斜産生的原因進行了科學的分析。
Determining the index of days through the analysis for mathematical statistics, and controlling effectively the burning-rate performance of the full-size solid engine.
通過數理統計分析确定了存放天數指标，并在批量生産中有效地控制了全尺寸固體發動機燃速性能。
The calculation formula of flexural load capacity of steel beams is obtained by using the error transfer formula of mathematical statistics.
運用數理統計學的誤差傳遞公式，推導出了鋼梁截面抗彎承載力統計參數的計算公式。
The effect of smelting parameters of a ferromanganese blast furnace on evaporated cooling is analyzed by mathematical statistics.
本文用數理統計的方法分析了錳鐵高爐冶煉參數對汽化冷卻的影響。
In the producing, we apply the theory of mathematical statistics, for improving the quality control and optimizing the equipment and the personnal administration.
在生産過程中，運用數理統計學的原理，改進質量控制，優化設備和人事組織管理。
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.
采用攝像解析法和數理統計法，對男子短跑一、二級運動員途中跑支撐階段的“身體姿位”參量進行比較研究。
The series formulas of conditional probability are important points in the Probability and Mathematical Statistics course.
條件概率系列公式是“概率論與數理統計”課程的重要知識點。
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.
通過文獻資料法、問卷調查法和數理統計法研究大連市八所高校網球運動的開展現狀和存在問題。
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.
運用文獻資料、數理統計和邏輯分析等方法，對1988-2007年間我國13種中文體育類核心期刊上發表155篇網球科研論文進行統計分析。
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.
捕獲再捕獲與捕獲移出研究是數理統計的一個重要方向，它研究如何利用隨機樣本估計有限群體的總體數目。
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.
本文通過問卷調查、專家訪談和數理統計等方法，探讨制約CUBA優秀隊伍競技水平提高的因素，并提出合理的建議。
數理統計學（mathematical statistics）是以概率論為基礎，運用數學方法研究數據收集、分析和解釋的學科分支。其核心目标是通過建立統計模型和推斷理論，從隨機性數據中提取規律并作出科學決策。該領域包含參數估計、假設檢驗、回歸分析、方差分析四大基礎理論體系，其中極大似然估計和貝葉斯推斷構成現代統計推斷的兩大範式。
在理論建構方面，數理統計學嚴格依賴測度論和泛函分析等數學工具，将概率空間、隨機變量、分布函數等概念形式化。美國統計協會（ASA）在《數理統計年鑒》中指出，大樣本理論中的中心極限定理和重對數律構成了現代統計推斷的數學基礎。中國科學技術大學統計系教材特别強調，統計決策理論中風險函數與損失函數的量化分析，體現了數學建模在統計優化中的核心作用。
實際應用中，該學科為醫學臨床試驗（生存分析）、金融工程（風險價值模型）、人工智能（深度學習正則化）等領域提供理論支撐。哈佛大學統計系研究顯示，高維統計推斷方法已成功應用于基因組學數據分析，通過Lasso回歸實現基因标記物的有效篩選。英國皇家統計學會2024年度報告證實，隨機過程理論在氣候模型預測中的創新應用，顯著提升了極端天氣事件預測的準确度。
"Mathematical statistics"（數理統計學）是統計學中基于數學理論和概率論的分支，主要研究如何通過數學模型對數據進行收集、分析、解釋和推斷。其核心内容包括：
與傳統應用統計學的區别在于，數理統計更注重數學證明和理論推導，而非單純的數據處理技術。例如，它不僅說明如何使用t檢驗，還會推導t分布的概率密度函數及其性質。
典型公式示例： $$ hat{theta}{MLE} = argmax{theta} L(theta; x_1,...,x_n) $$ （最大似然估計量公式，其中$L$為似然函數）
該學科需要微積分、線性代數和實分析等數學工具支撐，是現代數據科學的重要理論基石。
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