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1answer
46 views

Non-causal of variable threshold algorithm

I'm not entirely sure this question belongs here. (Maybe better suited on stackoverflow or theoretical computer science). But here it goes. I'm reading a paper called. "Time-Frequency Analysis of ...
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38 views

Removing data above the mean

I am working with a data set, for which to remove noisy data I take the average of the sample itself and cut anything above that average. What I'm trying to understand here is does this have a name ...
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1answer
92 views

Multivariate exponential smoothing and Kalman filter equivalence

Suppose the time-series $X$ is hidden state Gaussian random walk and we observe $Y = X + e$, where $e$ is gaussian white noise independent of $X$. The Kalman estimator of $X$ in this case has a ...
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42 views

Question about asymptotics of steepest descent method in the context of adaptive filtering

The model which will be used is defined as $e(n) = d(n) - y(n)$ with $y(n) = x(n)^Tw(n)$. where $e(n)$ is the error term of the n-th observation, $x(n)$ the input vector of the n-th ...
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1answer
149 views

State Space formulation of Hodrick-Prescott filter

I would like to apply the Kalman filter in order to get a causal Hodrick-Prescott filter. The Hodrick-Prescott filter models a time series $(y_t)_{t=0}^T$ as $$ y_t = \tau_t + c_t $$ where $\tau_t$ is ...
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1answer
239 views

Formula for one-sided Hodrick-Prescott filter

I am not very familiar with filters. The Hodrick-Prescott filter as one can find it e.g. in wikipedia is two-sided. I also found an R implementation for this in the R package mFilter. There the filter ...
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0answers
99 views

MSE of filtered noisy signal - Derivation

I'm working on understanding the derivation of the optimal time constant for filters based on minimizing mean squared error. Unfortunately the text made a big jump between steps and lost me. Here's ...
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2answers
328 views

Filtering using ARMA model in R

I have two time-series, x and y. I would like to prewhiten x by fitting an ARMA(p,q) (or in ...
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130 views

How to filter missing time-series data for some, but not all, series? [closed]

For my paper I have collected data of companies for a period of 10 years. Some companies however, do not have data for all years but for my paper I need only those companies that have data over all ...
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0answers
31 views

Filtering virtual economy transactions

I am currently writing a pet-project for a browser based game which consists of two parts, first part is a data miner which observes the transactions in the market. And second part is as you might ...
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0answers
120 views

Determining smoothing parameter in HP filter for hourly data

I'm trying to determine an smoothing parameter for the Hodrick-Prescott Filter. I've seen that there are papers on the topic, but they are far too advanced for my comprehension. If I have a data set, ...
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1answer
49 views

Distinguishing statistical (global) and network (local) effects

I am analyzing how users of specific service affect each other by observing communication between them and changes in membership plans. The social network consists of 3M users and 40M connections ...