Decreasing Strength of Interactions
Consider the time series of an independent variable and a dependent variable, with observations sampled at discrete times . In many common situations, the value of at time depends not only on but also on its past values. Commonly, the strength of this dependence decreases as the separation of observations in time increases. To model this situation, one may replace the independent variable by its sliding mean for a window size .
| Range (1–5) | Weighted mean equivalence |
|---|---|
| 3.34–5.00 | Strong |
| 1.67–3.33 | Satisfactory |
| 0.00–1.66 | Weak |
Read more about this topic: Weighted Mean
Famous quotes containing the words decreasing, strength and/or interactions:
“As men get on in life, they acquire a love for sincerity, and somewhat less solicitude to be lulled or amused. In the progress of the character, there is an increasing faith in the moral sentiment, and a decreasing faith in propositions.”
—Ralph Waldo Emerson (1803–1882)
“When the shadow of death blots out my joy
And erases the face of the sun
Give me strength to endure, hope to believe
That living and dying are one.”
—William L. Wallace (20th century)
“In our interactions with people, a benevolent hypocrisy is frequently required—acting as though we do not see through the motives of their actions.”
—Friedrich Nietzsche (1844–1900)