MAST90105 精讲 Methods of Mathematical Statistics

大学：University of Melbourne

专业：MAST90105 Methods of Mathematical Statistics

授课方式：线上

报名人数：1

开课时间：2021/03/02

$638

课程介绍:

概率和统计的基础知识最大似然，无偏估计，假设检验，显著性水平离散分布，连续分布，二维分布随机变量函数的分布，点估计，区间估计每周课程精讲，重难点梳理 Tutor自编题目，当堂讲解练习

Lesson 01 Week 3：Discrete Distributions 2

讲解Independent Random Varia-bles 讲解Binomial Distribution 讲解Negative Binomial Distribution 讲解Poisson Distribution 结合自编例题，对重难点的解题思路进行梳理和答疑

Lesson 02 Week 4：Continuous Distributions 1

讲解Random Variables of the Continuous Type 讲解The Exponential, Gamma and Chi-Square Distributions 结合自编例题，对重难点的解题思路进行梳理和答疑

Lesson 03 Week 5：Continuous Distributions 2

讲解Uniform Distribution, Random Numbers, CDF etc from PDF 讲解Normal Distribution 结合自编例题，对重难点的解题思路进行梳理和答疑

Lesson 04 Week 6：Bivariate Distributions

讲解Generalities, Joint and Margin-al Distributions 讲解Covariance and Correlation 讲解Conditional Distributions 讲解Bivariate Normal Distribution 结合自编例题，对重难点的解题思路进行梳理和答疑

Lesson 05 Week 7：Distributions of Functions of RVs

讲解Transformations of One and Two Random Variables 讲解Several Random Variables 讲解Random Variables associated with the Normal Distribution 讲解Central Limit Theorem & Law of Large Numbers 结合自编例题，对重难点的解题思路进行梳理和答疑

Lesson 06 Week 8：Point Estimation 1

讲解Descriptive Statistics, Explorary Data Analysis and Order Statistics 讲解Maximum Likelihood and Method of Moments 结合自编例题，对重难点的解题思路进行梳理和答疑

Lesson 07 Week 9：Point Estimation 2

讲解Simple Regression 讲解Asymptotic Distributions of Max-imum Likelihood Estimators 结合自编例题，对重难点的解题思路进行梳理和答疑

Lesson 08 Week 10: Interval Estimation

讲解Conﬁdence Intervals for Means 讲解Conﬁdence Intervals for Diﬀerence of Two Means 讲解Conﬁdence Intervals for Propor-tions 讲解Sample Size 讲解Distribution Free Conﬁdence Intervals for Percentiles 结合自编例题，对重难点的解题思路进行梳理和答疑

Lesson 09 Week 11：Hypothesis Tests 1

讲解Hypothesis Tests的基本概念讲解Tests About Proportions 讲解Tests about One Mean 讲解Tests of the Equality of Two Means 结合自编例题，对重难点的解题思路进行梳理和答疑

Lesson 10 Week 12: Hypothesis Tests 2

讲解Distribution Free Tests 讲解Chi Square Goodness of Fit 讲解Contingency Tables 讲解Likelihood Ratio Test 结合自编例题，对重难点的解题思路进行梳理和答疑

Lesson 11 Week 13：Review

全面梳理并复习课程知识，结合自编练习题进行查漏补缺

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