In the statistical analysis of time series, a trend-stationary process is a stochastic process from which an underlying trend (function solely of time) can be removed, leaving a stationary process. The trend does not have to be linear. Conversely, if the process requires differencing to be made stationary, then it is called difference stationary and possesses one or more unit roots. Those two concepts may sometimes be confused, but while they share many properties, they are different in many aspects. It is possible for a time series to be non-stationary, yet have no unit root and be trend-stationary. In both unit root and trend-stationary processes, the mean can be growing or decreasing over time; however, in the presence of a shock, trend-stationary processes are mean-reverting (i.e. transitory, the time series will converge again towards the growing mean, which was not affected by the shock) while unit-root processes have a permanent impact on the mean (i.e. no convergence over time). (Wikipedia).
Intermittent Planetary Mechanism
This mechanism produces a reciprocating movement, with the forward always longer than the backward. It uses a planetary mechanism with two inputs, the sun and the ring. The output is the arm. The inputs are provided by an intermittent mechanism, with one gear moving two others, one at a ti
From playlist Planetary Mechanisms
Describes what acceleration is in physics, how to calculate acceleration and how to determine if an object is speeding up, slowing down or moving at a constant velocity based on the direction of it velocity and acceleration vectors You can see a listing of all my videos at my website, http
From playlist Motion Graphs; Position and Velocity vs. Time
Motion Graphs (3 of 8) Position vs. Time Graph Part 3, Constant Velocity and Acceleration
Describes how to determine the characteristics of an objects motion from its position vs time graph. You can see a listing of all my videos at my website, http://www.stepbystepscience.com Motion graphs are an excellent way to get an understanding of an objects motion over time. The slope
From playlist Motion Graphs; Position and Velocity vs. Time
Physical Science 1.8g - Graphs - Constant Velocity
Position and Velocity graphs for the particular case of constant velocity.
From playlist Physical Science Chapter 1 (Complete chapter)
C68 The physics of damped motion
See how the graphs of damped motion changes with changes in mass, the spring constant, and the initial value constants. The equations tell us which parameters influence the period, frequency and amplitude of oscillation.
From playlist Differential Equations
Stationary Points: Step-by-Step Guide
More resources available at www.misterwootube.com
From playlist Applications of Differentiation
Trend Modeling by Chiranjit Mukhopadhyay
Program Summer Research Program on Dynamics of Complex Systems ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE : 15 May 2019 to 12 July 2019 VENUE : Madhava hall for Summer School & Ramanujan hall f
From playlist Summer Research Program On Dynamics Of Complex Systems 2019
Review of Linear Time Invariant Systems
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Review: systems, linear systems, time invariant systems, impulse response and convolution, linear constant-coefficient difference equations
From playlist Introduction and Background
Introducing Time Series Forecasting in Python: the Random Walk Forecast
Check out Marco Peixeiro's book 📖 Time Series Forecasting in Python | http://mng.bz/95Mr 📖 To save 40% on Marco's book use the DISCOUNT CODE ⭐ watchpeixeiro40 ⭐ Join Marco in this introductory lesson on time series forecasting in Python. Marco explores the random walk model, MA(q) and
From playlist Python
Anne Leucht: Mixing properties of (non-)stationary INGARCH(1,1) processes
CONFERENCE Recording during the thematic meeting : "Adaptive and High-Dimensional Spatio-Temporal Methods for Forecasting " the September 27, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks
From playlist Probability and Statistics
Stilian Stoev: Function valued random fields: tangents, intrinsic stationarity, self-similarity
We study random fields taking values in a separable Hilbert space H. First, we focus on their local structure and establish a counterpart to Falconer's characterization of tangent fields. That is, we show (under general conditions) that the tangent fields to a H-valued process are self-sim
From playlist Probability and Statistics
What is the displacement of a particle from a position graph
Keywords 👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of the particle by differentiating the function
From playlist Particle Motion Problems
Simple Harmonic Motion (2 of 16): Pendulum, Calculating Period, Frequency, Length and Gravity
In this video I go over five example problems for calculating the period, frequency, length and acceleration due to gravity for a simple pendulum. A pendulum is a mass suspended from a string that is attached to pivot point. There is no friction so that the pendulum can swing freely. When
From playlist Simple Harmonic Motion, Waves and Vibrations
Time Series class: Part 1 - Dr Ioannis Papastathopoulos, University of Edinburgh
Part 2: https://youtu.be/7n0HTtThMe0 Introduction: Moving average, Autoregressive and ARMA models. Parameter estimation, likelihood based inference and forecasting with time series. Advanced: State-space models (hidden Markov models, Kalman filter) and applications. Recurrent neural netw
From playlist Data science classes
QRM 7-1: TS for RM 2 (seasons, ARMA and more)
Welcome to Quantitative Risk Management (QRM). Lesson 7 is very rich. In part 1, we start from seasonality and how to deal with it (more applied details in QRM 7-3). We then introduce AR, MA and ARMA processes, discussing their basic properties, like causality and invertibility. To suppo
From playlist Quantitative Risk Management
Data Science - Part X - Time Series Forecasting
For downloadable versions of these lectures, please go to the following link: http://www.slideshare.net/DerekKane/presentations https://github.com/DerekKane/YouTube-Tutorials This lecture provides an overview of Time Series forecasting techniques and the process of creating effective for
From playlist Data Science
Welcome to Quantitative Risk Management (QRM). In Lesson 6 we start discussing Time Series (TS) analysis, which we will later combine with EVT. We will answer the following questions: What is a TS? What types of TS can we model? What does stationarity mean? What are the main causes of non
From playlist Quantitative Risk Management
Deep Learning Lecture 7.2 - Slow Manifolds
Learning Slow Manifolds with Markovian methods: Introduction and learning problem.
From playlist Deep Learning Lecture
Gosia Konwerska discusses some of the tools for time series analysis in Mathematica in this presentation from the Wolfram Technology Conference. For more information about Mathematica, please visit: http://www.wolfram.com/mathematica
From playlist Wolfram Technology Conference 2012
Graphing Stationary Points (1 of 3: Using the first derivative)
More resources available at www.misterwootube.com
From playlist Applications of Differentiation