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Mathematical statistics
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Video
Finding the right mate is no cakewalk  but is it even mathematically likely? In a charming talk, mathematician Hannah Fry shows patterns in how we look for love, and gives her top three tips (verified by math!) for finding that special someone.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical statistics Online dating
 Resource Type:
 Video

ebook
"This resource covers the following learning objectives: explain the uses and misuses of statistics
 Subjects:
 Mathematics and Statistics
 Keywords:
 Statistics Mathematical statistics
 Resource Type:
 ebook

Others
This sequence is ideal for students or early data science professionals who want to strengthen their knowledge of fundamental probability and statistics concepts. Mastery of Mathematical Fundamentals is a prerequisite.
 Course related:
 AMA1110 Basic Mathematics I – Calculus and Probability & Statistics
 Subjects:
 Finance and Mathematics and Statistics
 Keywords:
 Probabilities Mathematical statistics Business mathematics
 Resource Type:
 Others

ebook
This is a new approach to an introductory statistical inference textbook, motivated by probability theory as logic. It is targeted to the typical Statistics 101 college student, and covers the topics typically covered in the first semester of such a course. It is freely available under the Creative Commons License, and includes a software library in Python for making some of the calculations and visualizations easier.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical statistics Textbooks
 Resource Type:
 ebook

Courseware
Are you an engineer, scientist or technician? Are you dealing with measurements or big data, but are you unsure about how to proceed? This is the course that teaches you how to find the best estimates of the unknown parameters from noisy observations. You will also learn how to assess the quality of your results. TU Delft’s approach to observation theory is world leading and based on decades of experience in research and teaching in geodesy and the wider geosciences. The theory, however, can be applied to all the engineering sciences where measurements are used to estimate unknown parameters. The course introduces a standardized approach for parameter estimation, using a functional model (relating the observations to the unknown parameters) and a stochastic model (describing the quality of the observations). Using the concepts of least squares and best linear unbiased estimation (BLUE), parameters are estimated and analyzed in terms of precision and significance. The course ends with the concept of overall model test, to check the validity of the parameter estimation results using hypothesis testing. Emphasis is given to develop a standardized way to deal with estimation problems. Most of the course effort will be on examples and exercises from different engineering disciplines, especially in the domain of Earth Sciences. This course is aimed towards Engineering and Earth Sciences students at Bachelor’s, Master’s and postgraduate level.
 Keywords:
 Observers (Control theory) Mathematical statistics
 Resource Type:
 Courseware

Video
Using of Z table
 Course related:
 HTM3205 Analysing and Interpreting Research
 Subjects:
 Statistics and Research Methods
 Keywords:
 Mathematical statistics Statistics
 Resource Type:
 Video

Courseware
Second introductory course covering basic principles of probability and statistical inference. Topics: Point estimation, interval estimating, and testing hypotheses, Bayesian approaches to inference.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Probabilities Mathematical statistics
 Resource Type:
 Courseware

Courseware
Introductory course covering basic principles of probability and statistical inference. Topics covered in this course: Axiomatic definition of probability, random variables, probability distributions, expectation.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Probabilities Mathematical statistics
 Resource Type:
 Courseware

Courseware
This course offers an indepth the theoretical foundations for statistical methods that are useful in many applications. The goal is to understand the role of mathematics in the research and development of efficient statistical methods.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical statistics
 Resource Type:
 Courseware

Courseware
This course provides students with decision theory, estimation, confidence intervals, and hypothesis testing. It introduces large sample theory, asymptotic efficiency of estimates, exponential families, and sequential analysis.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical statistics
 Resource Type:
 Courseware