统计推断(英文版)(原书第2版)
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作者(美)雷奥奇·卡塞拉 罗杰 L.贝耶
出版社机械工业出版社
ISBN9787111109457
出版时间2018-05
装帧平装
开本16开
纸张胶版纸
定价98元
货号25273238
上书时间2024-07-09
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【内容简介】:
本书并不假定在任何概率论的先修知识。通过正文与习题旁征博引,引进了大量近代统计处理的新技术和一些国内同类教材中不能见而广为使用的分布。其内容包括工科概率论入门又包括了经典统计和现代统计的基础部分。其理论较为现代化、难度适中,覆盖面远比国内教材大,而在体系结构与内容安排上富于新意。本书可以作为工科、管理类学科专业本科生、研究生教材,也可供教师、工程技术人员自学之用。
【目录】:
1 PROBABILITY THEORY
1.1 Set Theory
1.2 Basics of Probability Theory
1.3 Conditional Probability andIndependence
1.4 Random Variables
1.5 Distribution Functions
1.6 Density and Mass Functions
1.7 Exercises
1.8 Miscellanea
2 TRANSFORMATIONS AND EXPECTATIONS
2.1 Distributions of Functions ofa Random Variable
2.2 Expected Values
2.3 Moments and Moment GeneratingFunctions
2.4 Differentiating Under anIntegral Sign
2.5 Exercises
2.6 Miscellanea
3 COMMON FAMILIES OF DISTRIBUTIONS
3.1 Introduction
3.2 Discrete Distributions
3.3 Continuous Distributions
3.4 Exponential Families
3.5 Location and Scale Families
3.6 Inequalities and Identities
3.7 Exercises
3.8 Miscellanea
4 MULTIPLE RANDOM VARIABLES
4.1 Joint and MarginalDistributions
4.2 Conditional Distributions andIndependence
4.3 Bivariate Transformations
4.4 Hierarchical Models andMixture Distributions
4.5 Covariance and Correlation
4.6 Multivariate Distributions
4.7 Inequalities
4.8 Exercises
4.9 Miscellanea
5 PROPERTIES OF A RANDOM SAMPLE
5.1 Basic Concepts of RandomSamples
5.2 Sums of Random Variables froma Random Sample
5.3 Sampling from the NormalDistribution
5.4 Order Statistics
5.5 Convergence Concepts
5.6 Generating a Random Sample
5.7 Exercises
5.8 Miscellanea
6 PRINCIPLES OF DATA REDUCTION
6.1 Introduction
6.2 The Sufficiency Principle
6.3 The Likelihood Principle
6.4 The Equivariance Principle
6.5 Exercises
6.6 Miscellanea
7 Point Estimation
7.1 Introduction
7.2 Methods of Finding Estimators
7.3 Methods of EvaluatingEstimators
7.4 Exercises
7.5 Miscellanea
8 HYPOTHESIS TESTING
8.1 Introduction
8.2 Methods of Finding Tests
8.3 Methods of Evaluating Tests
8.4 Exercises
8.5 Miscellanca
9 INTERVAL ESTIMATION
9.1 Introduction
9.2 Methods of Finding IntervalEstimators
9.3 Methods of EvaluatingInterval Estimators
9.4 Exercises
9.5 Miscellanea
10 ASYMPTOTIC EVALUATIONS
10.1 Point Estimation
10.2 Robustness
10.3 Hypothesis Testing
10.4 Interval Estimation
10.5 Exercises
106 Miscellanea
11 ANALYSIS OF VARIANCE AND REGRESSION
11.1 Introduction
11.2 Oneway Analysis of Variance
11.3 Simple Linear Regression
11.4 Exercises
11.5 Miscellanea
12 Regression Models
12.1 Introduction
12.2 Regression with Errors inVariables
12.3 Logistic Regression
12.4 Robust Regression
12.5 Exercises
12.6 Miscellanea
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