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概率論與數理統計 版權信息
- ISBN：9787563551699
- 條形碼：9787563551699 ; 978-7-5635-5169-9
- 裝幀：一般膠版紙
- 冊數：暫無
- 重量：暫無
- 所屬分類：>>
概率論與數理統計 內容簡介
《概率論與數理統計（英文版）/普通高等教育“十三五”規劃教材》介紹了概率論與數理統計的基本概念、基本理論和方法。內容包括：概率基本介紹，隨機變量及其分布，多維隨機變量及其分布，數學期望，極限理論，抽樣分布，參數估計，假設檢驗和回歸分析。每章課后配有豐富的習題，供學生練習之用。 《概率論與數理統計（英文版）/普通高等教育“十三五”規劃教材》是高校工科、理科（非數學專業）“概率論與數理統計”的雙語教材，也可作為高等學校理工科各專業學生及教師的教材和參考書，還可供科技工作者閱讀。
概率論與數理統計 目錄
Chapter 1 Introduction to Probability
1．1 Introduction
1．2 Interpretations of Probability
1．3 Set Algebra
1．4 The Definition of Probability
1．5 Finite Sample Spaces
1．6 Geometry Probability Setting
1．7 Conditional Probability
1．8 Independent Events
Chapter 2 Random Variable and Distribution
2．1 Random Variable
2．2 Discrete Distribution
2．3 Continuous Random Variable and Its Distribution
2．4 The Function of a Random Variable
Chapter 3 Multi-Dimensional Random Variable and Distributions
3．1 Multi-Dimensional Random Variable and its Distribution
3．2 Marginal Distribution
3．3 Conditional Distribution
3．4 Independence of Random Variables
3．5 Functions of Two or More Random Variables
Chapter 4 Expectation
4．1 Expectation of Random Variable
4．2 Variance and Moments
4．3 Covariance and Correlation
4．4 Covariance Matrix
Chapter 5 Limit Theorem
5．1 Law of Large Numbers
5．2 the Central Limit Theorem
Chapter 6 Samples and Sampling Distribution
6．1 Random Samples
6．2 Statistics and Numerical Characteristics of Sample
6．3 Sampling Distribution
6．4 Distributions of Sample Mean and Sample Variance
with Normal Distribution
Chapter 7 Estimation of Parameters
7．1 Point Estimation， Moment Estimation and Maximum
Likehood Estimators
7．2 the Evaluation Criteria of Estimators
7．3 Estimation of Intervals
7．4 Interval Estimation of Normal Population Parameters
7．5 One-Sided Confidence Interval
Chapter 8 Testing Hypotheses
8．1 Problem of Testing Hypotheses
8．2 the Testing of Hypotheses of the Mean of the Normal Distribution
8．3 Testing Hypotheses about Variance of Normal Distribution
8．4 Equivalence of Tests and Confidence Sets
8．5 Test of Fit of Population Distribution
8．6 Testing of Hypotheses Using p-value
Chapter 9 Simple Linear Regression
9．1 the Method of Regression
9．2 Estimation and Inference in Simple Linear Regression
Solutions for Exercises
References
1．1 Introduction
1．2 Interpretations of Probability
1．3 Set Algebra
1．4 The Definition of Probability
1．5 Finite Sample Spaces
1．6 Geometry Probability Setting
1．7 Conditional Probability
1．8 Independent Events
Chapter 2 Random Variable and Distribution
2．1 Random Variable
2．2 Discrete Distribution
2．3 Continuous Random Variable and Its Distribution
2．4 The Function of a Random Variable
Chapter 3 Multi-Dimensional Random Variable and Distributions
3．1 Multi-Dimensional Random Variable and its Distribution
3．2 Marginal Distribution
3．3 Conditional Distribution
3．4 Independence of Random Variables
3．5 Functions of Two or More Random Variables
Chapter 4 Expectation
4．1 Expectation of Random Variable
4．2 Variance and Moments
4．3 Covariance and Correlation
4．4 Covariance Matrix
Chapter 5 Limit Theorem
5．1 Law of Large Numbers
5．2 the Central Limit Theorem
Chapter 6 Samples and Sampling Distribution
6．1 Random Samples
6．2 Statistics and Numerical Characteristics of Sample
6．3 Sampling Distribution
6．4 Distributions of Sample Mean and Sample Variance
with Normal Distribution
Chapter 7 Estimation of Parameters
7．1 Point Estimation， Moment Estimation and Maximum
Likehood Estimators
7．2 the Evaluation Criteria of Estimators
7．3 Estimation of Intervals
7．4 Interval Estimation of Normal Population Parameters
7．5 One-Sided Confidence Interval
Chapter 8 Testing Hypotheses
8．1 Problem of Testing Hypotheses
8．2 the Testing of Hypotheses of the Mean of the Normal Distribution
8．3 Testing Hypotheses about Variance of Normal Distribution
8．4 Equivalence of Tests and Confidence Sets
8．5 Test of Fit of Population Distribution
8．6 Testing of Hypotheses Using p-value
Chapter 9 Simple Linear Regression
9．1 the Method of Regression
9．2 Estimation and Inference in Simple Linear Regression
Solutions for Exercises
References
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