how that the sample mean ¯xt = 1t∑ti=1 xi can be written in the form:new estimate = old estimate + gain ∗ news

Question

how that the sample mean ¯xt = 1t∑ti=1 xi can be written in the form:new estimate = old estimate + gain ∗ news
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Solution 1

Claro, vamos a resolverlo paso a paso.

Primero, recordemos la fórmula del promedio muestral:

[ \bar{x}t = \frac{1}{t} \sum{i=1}^{t} x_i ]

Queremos expresar esto en la forma:

[ \text{nuevo estimado} = \text{estimado antiguo} + \text{ganancia} \times \text{novedad} ]

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