Statistical Inference for Estimation in Data Science (Coursera)

Statistical Inference for Estimation in Data Science (Coursera)
Course Auditing
Categories
Effort
Certification
Languages
Sequence in calculus up through Calculus II (preferably multivariate calculus) and some programming experience in R.
Misc

MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Statistical Inference for Estimation in Data Science (Coursera)
This course introduces statistical inference, sampling distributions, and confidence intervals. Students will learn how to define and construct good estimators, method of moments estimation, maximum likelihood estimation, and methods of constructing confidence intervals that will extend to more general settings.

Class Deals by MOOC List - Click here and see Coursera's Active Discounts, Deals, and Promo Codes.

MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

This course can be taken for academic credit as part of CU Boulder’s Master of Science in Data Science (MS-DS) degree offered on the Coursera platform. The MS-DS is an interdisciplinary degree that brings together faculty from CU Boulder’s departments of Applied Mathematics, Computer Science, Information Science, and others. With performance-based admissions and no application process, the MS-DS is ideal for individuals with a broad range of undergraduate education and/or professional experience in computer science, information science, mathematics, and statistics.


What You Will Learn

- Identify characteristics of “good” estimators and be able to compare competing estimators.

- Construct sound estimators using the techniques of maximum likelihood and method of moments estimation.

- Construct and interpret confidence intervals for one and two population means, one and two population proportions, and a population variance.


Syllabus


WEEK 1

Point Estimation

In this module you will learn how to estimate parameters from a large population based only on information from a small sample. You will learn about desirable properties that can be used to help you to differentiate between good and bad estimators. We will review the concepts of expectation, variance, and covariance, and you will be introduced to a formal, yet intuitive, method of estimation known as the "method of moments".


WEEK 2

Maximum Likelihood Estimation

In this module we will learn what a likelihood function is and the concept of maximum likelihood estimation. We will construct maximum likelihood estimators (MLEs) for one and two parameter examples and functions of parameters using the invariance property of MLEs.


WEEK 3

Large Sample Properties of Maximum Likelihood Estimators

In this module we will explore large sample properties of maximum likelihood estimators including asymptotic unbiasedness and asymptotic normality. We will learn how to compute the “Cramér–Rao lower bound” which gives us a benchmark for the smallest possible variance for an unbiased estimator.


WEEK 4

Confidence Intervals Involving the Normal Distribution

In this module we learn about the theory of “interval estimation”. We will learn the definition and correct interpretation of a confidence interval and how to construct one for the mean of an unseen population based on both large and small samples. We will look at the cases where the variance is known and unknown.


WEEK 5

Beyond Normality: Confidence Intervals Unleashed!

In this module, we will generalize the lessons of Module 4 so that we can develop confidence intervals for other quantities of interest beyond the distribution mean and for other distributions entirely. This module covers two sample confidence intervals in more depth, and confidence intervals for population variances and proportions. We will also learn how to develop confidence intervals for parameters of interest in non-normal distributions.



0
No votes yet

MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Course Auditing
66.00 EUR
Sequence in calculus up through Calculus II (preferably multivariate calculus) and some programming experience in R.

MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.