Weighted Mean - Decreasing Strength of Interactions

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 .


z_k=\sum_{i=1}^m w_i x_{k+1-i}.
Range weighted mean interpretation
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)

    Being a parent is a form of leadership. . . . Parents make a mistake, along with leaders of organizations, when they are unwilling to recognize the power inherent in the positions they occupy and when they are unwilling to use this power. . . . I do not mean a figure who is irrational, autocratic, or sadistic. I mean leaders who have the strength of character to stand up for what they believe.
    —Abraham Zaleznik. In Support of Families, ed. Michael W. Yogman and T. Berry Brazelton, ch. 8 (1986)

    In child rearing it would unquestionably be easier if a child were to do something because we say so. The authoritarian method does expedite things, but it does not produce independent functioning. If a child has not mastered the underlying principles of human interactions and merely conforms out of coercion or conditioning, he has no tools to use, no resources to apply in the next situation that confronts him.
    Elaine Heffner (20th century)