Articles containing proofs | Estimation methods | Statistical approximations

Delta method

In statistics, the delta method is a result concerning the approximate probability distribution for a function of an asymptotically normal statistical estimator from knowledge of the limiting variance of that estimator. (Wikipedia).

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Epsilon delta limit (Example 3): Infinite limit at a point

This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!

From playlist Calculus

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Introduction to the Dirac Delta Function

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to the Dirac Delta Function

From playlist Differential Equations

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Calculus - Find the limit of a function using epsilon and delta

This video shows how to use epsilon and delta to prove that the limit of a function is a certain value. This particular video uses a linear function to highlight the process and make it easier to understand. Later videos take care of more complicated functions and using epsilon and delta

From playlist Calculus

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Euler's Method - By Hand

We introduce the idea of Euler's Method for solving differential equations, and solve a few steps of a simple example using the technique.

From playlist Mathematical Physics I Uploads

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Laplace transform method for solving delta function inhomogeneous terms

Illustrates the solution of an inhomgeneous, second-order, constant-coefficient ode using the Laplace transform method. Here the inhomogeneous term is a Dirac delta function. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~mac

From playlist Differential Equations with YouTube Examples

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Calculus 3.03f - Derivative Example 6

Another of example of finding a derivative using the definition of the derivative.

From playlist Calculus Ch 3 - Derivatives

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Finding Derivatives Using the Limit Definition

http://mathispower4u.wordpress.com/

From playlist Differentiation

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Euler's Method

We introduce Euler's method for solving differential equations, and discuss what that looks like in "computer world" as code. (Code is based on SageMath language.)

From playlist Mathematical Physics I Uploads

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Project II: Feigenbaum Delta (Part B) | Lecture 22 | Numerical Methods for Engineers

A continuation of how to compute the Feigenbaum delta from the superstable cycles of the logistic map. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my chan

From playlist Numerical Methods for Engineers

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Lec 2 | MIT 18.086 Mathematical Methods for Engineers II

Finite Differences, Accuracy, Stability, Convergence View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06

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Lec 10 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis

Lecture 10: Solution of equilibrium equations in dynamic analysis Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Linear Finite Element Analysis

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Lec 3 | MIT 18.086 Mathematical Methods for Engineers II

The One-way Wave Equation and CFL / von Neumann Stability View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06

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Adaptive Runge-Kutta Methods | Lecture 54 | Numerical Methods for Engineers

How MATLAB decides on the appropriate time step for the ode integrator ode45.m. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtu

From playlist Numerical Methods for Engineers

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Modified Euler Method | Lecture 49 | Numerical Methods for Engineers

Explanation of the modified Euler method (predictor-corrector) method for solving an ordinary differential equation. This is a second-order Runge-Kutta method. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas

From playlist Numerical Methods for Engineers

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Higher-order Runge-Kutta Methods | Lecture 52 | Numerical Methods for Engineers

A discussion of higher-order Runge-Kutta methods, including the popular fourth-order method. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http

From playlist Numerical Methods for Engineers

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Lec 10 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis

Lecture 10: Solution of Nonlinear Static FE Equations I Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Nonlinear Finite Element Analysis

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Runge Kutta Methods | Lecture 50 | Numerical Methods for Engineers

How to derive the family of second-order Runge-Kutta methods for solving an ordinary differential equation. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my

From playlist Numerical Methods for Engineers

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Lec 1 | MIT 18.086 Mathematical Methods for Engineers II

Difference Methods for Ordinary Differential Equations View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06

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How to Compute Delta y and the Differential dy

How to Compute Delta y and the Differential dy If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)

From playlist Differentials

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Lec 18 | MIT 18.085 Computational Science and Engineering I

Finite difference methods: stability and convergence A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 18.085 Computational Science & Engineering I, Fall 2007

Related pages

Slutsky's theorem | Statistics | Gradient | Continuous function | Estimator | Taylor's theorem | Central limit theorem | Nonparametric statistics | Mean value theorem | Asymptotic distribution | Variance | Empirical distribution function | Function (mathematics) | Probability distribution | Taylor series | Continuous mapping theorem | Binomial distribution | Hadamard derivative | Relative risk | Consistent estimator | Big O in probability notation | Taylor expansions for the moments of functions of random variables