本章主要讲述样本,总体,参数与参数空间;直方图与经验分布函数;统计 内容量,x2分布,t分布和F分布;分位数;正态总体的抽样分布等内容

本章主要讲述假设检验思想概述;正态总体参数检验(u检验,t检验, 2检验和F检验);非正态总体参数检验(非正态总体均值检验的大样本方 法,指数总体的参数检验);检验的实际意义及两类错误(检验结果的实际意 义,检验中的两类错误,样本容量确定问题)等内容

Chapter 1 ntroduction to matlaB This book is an introduction to two subjects: MATLAB and numerical computing This first chapter introduces MATLAB by presenting several programs that inves tigate elementary, but interesting, mathematical problems. If you already have some experience programming in another language, we hope that you can see how MATLAB works by simply studying these programs

Ch. 3 Estimation 1 The Nature of statistical Inference It is argued that it is important to develop a mathematical model purporting to provide a generalized description of the data generating process. A prob bility model in the form of the parametric family of the density functions p=f(:0),0E e and its various ramifications formulated in last chapter

Primary Readings: DL-Chapter 4; JR-Chapter 3; Varian-Chapter 7 In most economic models, we start with an agent's utility function. The utility function basically maps from bundles that the agent might choose, to the real line. The utility function is quite convenient: it can be maximized and manipulated using mathematical tools. But the question is are we imposing some hidden or desirable assumptions when we take this approach ?prefeent's

History of Quantum Mechanics The concept of the wave nature of atomic particles. This is the foundation of the mathematical discipline.(1) From wave mechanics we can understand and predict the properties of molecules as individual entities (the so-called microscopic state); (2) The properties of molecules(the macroscopic state) can be obtained by applying statistical techniques to these microscopic results

Mechanical Engineering as a Profession 1、 Introduction Scientists study the world as it is, engineers create the world that never has been What is engineering Engineering is the art of applying scientific and mathematical principles, experience, judgment, and common sense to create things that benefit people In other words, engineering is the process of producing a technical product or system to meet a specific need What engineers do Engineers: Turning Ideas into Reality

Chapter 1 Introduction 1.1 What is econometrics? Application of st atistical and mathematical met hods to the analysis of economic Purposes 1. Testing economic theories 2. Policy analysis(simultaneous equations model, vector autoregressive model

Where Are W e Doing in This Chapter? After modeling consumers' choice set and his preference (represented by utility functions), we now put them together and model how he/she makes optimal choice. In mathematical terms, this is constrained maximization problem; In economics, this is rational choice problem

Two circuits are dual if the mesh equations that characterize one of them have the same mathematical form as nodal equations that characterize the other