Decision theory | Statistical inference
In statistical decision theory, a randomised decision rule or mixed decision rule is a decision rule that associates probabilities with deterministic decision rules. In finite decision problems, randomised decision rules define a risk set which is the convex hull of the risk points of the nonrandomised decision rules. As nonrandomised alternatives always exist to randomised Bayes rules, randomisation is not needed in Bayesian statistics, although frequentist statistical theory sometimes requires the use of randomised rules to satisfy optimality conditions such as minimax, most notably when deriving confidence intervals and hypothesis tests about discrete probability distributions. A statistical test making use of a randomized decision rule is called a randomized test. (Wikipedia).
Dividing two rational expressions by factoring
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Rationalizing the radical to evaluate the limit
👉 Learn how to evaluate the limit of a function by rationalizing the radical. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct substit
From playlist Evaluate the Limit..........Help!
Ex 1: Determine a Limit of a Rational Function by Expanding or Factoring
This video provides an example of determining a limit of a rational function algebraically by factoring and expanding. The results are verified graphically. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Limits
Stefan Wager: Experimenting in Equilibrium
CIRM VIRTUAL EVENT Recorded during the meeting "Mathematical Methods of Modern Statistics 2" the June 09, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians
From playlist Virtual Conference
Use limit laws and special trig limits to evaluate
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct
From playlist Evaluate Limits with Trig
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Random Fibonacci Numbers - Numberphile
Dr James Grime on random Fibonacci Sequences... Extra footage: https://youtu.be/F0C4U7Q5yXU More links & stuff in full description below ↓↓↓ Fibonacci Numbers in the Mandelbrot Set: https://youtu.be/4LQvjSf6SSw More James Grime videos: http://bit.ly/grimevideos Our podcast interview wit
From playlist James Grime on Numberphile
Randomised Response 3: Revenge of Randomised Response
We present the results from our second embarrassing survey and find out how many of you have cheated in a test or exam. This was an application of Randomised Response. We also introduce Baye's Theorem and use it to find out if a true or false answer can make you more likely to have done t
From playlist My Maths Videos
PubHlth1: Principles of Public Health. Lec. 6
UCI PubHlth 1: Principles of Public Health (Fall 2012). Lec 06. Principles of Public Health -- Kinds of Epidemiologic Studies -- View the complete course: http://ocw.uci.edu/courses/pubhlth1_principles_of_public_health.html Instructor: Zuzana Bic, Ph.D. License: Creative Commons CC-BY-SA
From playlist PubHlth1: Principles of Public Health
Keynote - Cardiovascular data science: Harry Hemingway, UCL
About the event This workshop is being held in association with a new call for applications for joint research awards in Cardiovascular Data Science by the British Heart Foundation (BHF) and The Alan Turing Institute (the Turing). The awards aim to support cross-disciplinary teams of inve
From playlist Exploring novel opportunities for data science in cardiovascular research
Statistical machine learning for randomised clinical trials
Research in Action Lightning Talks were shown during AI UK 2022 to highlight the real-world impacts of research projects happening at The Alan Turing Institute.
From playlist AI UK 2022 Lightning talks
Evaluate special trigonometric limits using algebra
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct
From playlist Evaluate Limits with Trig
Learn how to use special trig limits to evaluate
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct
From playlist Evaluate Limits with Trig
Are Cold Showers Good For You? | Earth Lab
Does the recent hype about taking ice cold showers stand up to science? Doctor Chris van Tulleken is today's guinea pig. Footnotes: 1) Cold Water Shock: http://completeguide.rnli.org/cold-water-shock.html Cold Water Safety: http://www.coldwatersafety.org/ColdShock.html 2) Adapted cold
From playlist Earth Lab Originals - Fresh from the BBC Earth Lab
Which Health Policies Actually Work?
We spend a lot of money on healthcare. How much if goes toward good studies of the health policies we implement. Not much. An almost natural experiment in Oregon has been revealing. Related HCT episodes: Wellness Programs Don't Stand Up to RCT: https://youtu.be/gtUYKGz1v-c Be sure to ch
From playlist Healthcare Triage
Dividing two rational expression with a lot of factoring by multiplying
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
We present the results from our embarrassing survey and find out how many of you pick your nose. This was an application of Randomised Response. Then, after a little introduction to statistics, we invite you to take part in another embarrassing survey using a slightly different method: Hav
From playlist My Maths Videos