## 基本素養 Basic Literacy

Culture transition

Historical consciousness

Artistic literacy

Civil literacy

Social concern

Benefit people and the society

International Perspective

## 核心能力 Competence

Consolidate fundamental knowledge in economics

Acquire diversified knowledge from interdisciplinary fields

Be familiar with tools for economic analysis

Expand economic applications

Language proficiency and communication ability

## 課程概述 Course Description

The basic statistics include descriptive statistics and inferential statistics. The former is to organize and to summarize the data in a systematic way so as to reach comprehensive statement for the sample; the latter is to use various measures to characterize the sample and patterns in the data may be modeled in a way that accounts for randomness and uncertainty in the observations, and are then used to draw inferences about the process or population being studied. The inferential statistics is the core of the modern statistics and thus this course will emphasize the inferential statistics other than the methods of descriptive statistics. In particular, this course is concerned with the theoretical basis of the statistics using probability theory in order to clearly grasp the major concept of statistics. The mathematical methods will be employed to exemplify (or prove) the important statistical theory.

## 課程學習目標 Course Objectives

• To learn the concepts and theory of mathematical statistics
• To learn the applications of statistics
• To appreciate the foundation upon which modern statistics is built
• ## 課程進度 Course Outline

週次 Week進度說明 Progress Description
1Probability
2Random variables and their distributions
3Special discrete random variables
4Special discrete random variables
5Special continuous random variables
6Special continuous random variables
7Joint distributions and some properties of random variables
8Midterm exam I
9Special multivariate probability distributions
10Functions of random variables
11Functions of random variables
12Limiting distribution and the Central Limit Theorem
13Statistics and sampling distributions
14Midterm exam II
15Point estimation, consistency and sufficiency
16Interval estimation
17Tests of hypothesis
18Final exam
以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.

## 有關課程其他調查 Other Surveys of Courses

1.本課程是否規劃業界教師參與教學或演講?
Is there any industry specialist invited in this course? How many times?
2.本課程是否規劃含校外實習(並非參訪)?
Are there any internships involved in the course? How many hours?
3.本課程是否可歸認為學術倫理課程?
Is this course recognized as an academic ethics course? In the course how many hours are regarding academic ethics topics?
4.本課程是否屬進入社區實踐課程?
Is this course recognized as a Community engagement and Service learning course? Which community will be engaged?