Estimation theory | Gaussian function
In statistics, Sheppard's corrections are approximate corrections to estimates of moments computed from binned data. The concept is named after William Fleetwood Sheppard. Let be the measured kth moment, the corresponding corrected moment, and the breadth of the class interval (i.e., the bin width). No correction is necessary for the mean (first moment about zero). The first few measured and corrected moments about the mean are then related as follows: When the data come from a normally distributed population, then binning and using the midpoint of the bin as the observed value results in an overestimate of the variance. That is why the correction to the variance is negative. The reason why the uncorrected estimate of the variance is an overestimate is that the error is negatively correlated with the observation. For the uniform distribution, the error is uncorrelated with the observation, so a correction should be +c2/12, which is the variance of the error itself rather than −c2/12. Thus Sheppard's correction is biased in favor of population distributions in which the error is negatively correlated with the observation. The cumulants of the sum of the grouped variable and the uniform variable are the sums of the cumulants. As odd cumulants of a uniform distribution are zero; only even moments are affected. The second and fourth cumulants of the uniform distribution on (−0.5c, 0.5c) are respectively, c2/12 and −c4/120. The correction to moments can be derived from the relation between cumulants and moments. (Wikipedia).
C56 Continuation of previous problem
Adding a bit more depth to the previous problem.
From playlist Differential Equations
From playlist filter (less comfortable)
Derivative Of A Square Root!! (Calculus)
#Math #Calculus #Physics #Tiktok #Studyhacks #NicholasGKK #Shorts
From playlist Calculus
#Physics #Mechanics #Engineering #NicholasGKK #Shorts
From playlist General Mechanics
Substitutions Involving e^x or ln(x)
Watch more videos on http://www.brightstorm.com/math/calculus SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Calculus
Determine if the Vectors are Orthogonal
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determine if the Vectors are Orthogonal
From playlist Calculus
Wembley Stadium, London. Start of the League Cup Final football match between Queens Park Rangers and West Bromwich Albion at Wembley Stadium. SV. The two teams walking out, West Brom on left, Rangers on right. GV. Wembley with teams lined up for inspection by Lord Mayor of London Sir R
From playlist First Division Football | British Pathé
Sheri Sheppard: How do we educate a new kind of engineer?
Mechanical engineer Sheri Sheppard got her start in engineering working on the Corvette for General Motors and later worked for both Ford and Chrysler. Back then, she was among a handful of women engineers in the auto industry, where she learned firsthand the risks a monolithic culture pr
From playlist The Future of Everything
Solving the Bernoulli Differential Equation x^2(dy/dx) + y^2 = xy
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to solve a Bernoulli Differential Equation
From playlist Differential Equations
Policing London - The Fall of Jonathan Wild - Extra History - #2
Watch this video ad-free on Nebula: https://nebula.tv/videos/extra-history-policing-london-the-fall-of-jonathan-wild-extra-history-2 Jonathan Wild had the whole crime system figured out. A man of justice by day, and leader of a criminal empire by night. But that is when Jack Sheppard came
From playlist Extra History: Policing London
http://www.brightstorm.com/math/calculus SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https://www.facebook.com/b
From playlist Calculus
Blue Origin Mission Space Launch - LIVE
This is a life launch of Blue Origin self landing rocket that will go straight up 100+ km and land back to the launch pad. Unlike SpaceX, this does not achieve orbit.
From playlist SPACE (MISC)
Performance at Buckhead – Philip Sheppard
From playlist G4G11 Videos
Beer Made From Insects: A Gross Vlog
Scientists are making beer out of yeasts that live on bugs. Subscribe! http://bit.ly/1FkxVLb ‖ Twitter! https://twitter.com/gross_science ‖ Tumblr! http://grossscience.tumblr.com/ ↓Want more info?↓ Your Wild Life Beers: http://robdunnlab.com/projects/beer-p... Wasps and Wine from NPR: htt
From playlist Gross Science
Planet Nine will be discovered in the next decade. Here’s why. | Konstantin Batygin | Big Think
Planet Nine will be discovered in the next decade. Here’s why. Watch the newest video from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Years ag
From playlist Journey to outer space | Big Think
Camillo De Lellis: Ill-posedness for Leray solutions of the ipodissipative Navier-Stokes equations
Abstract: In a joint work with Maria Colombo and Luigi De Rosa we consider the Cauchy problem for the ipodissipative Navier-Stokes equations, where the classical Laplacian −Δ is substited by a fractional Laplacian (−Δ)α. Although a classical Hopf approach via a Galerkin approximation shows
From playlist Partial Differential Equations
Lec 1 | MIT 2.71 Optics, Spring 2009
Lecture 1: Course organization; introduction to optics Instructor: George Barbastathis, Colin Sheppard, Se Baek Oh View the complete course: http://ocw.mit.edu/2-71S09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 2.71 Optics, Spring 2009
Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu
From playlist Science Unplugged: General Relativity
C34 Expanding this method to higher order linear differential equations
I this video I expand the method of the variation of parameters to higher-order (higher than two), linear ODE's.
From playlist Differential Equations
How Would A REAL Death Star Laser Work?
Even non star wars fans know about the Death Star. It's maybe the most iconic doomsday weapon, known for blowing up entire planets. But you could never build a laser that big.... right? Well maybe. Chemical lasers are the closest real world equivalent and they can pack an immense punch. I
From playlist Journal Club/Deep Dives