Questions tagged [arima]
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80 questions
0 votes
1 answer
233 views
Does Computing Log Returns as $\log(x_t / x_{t-1})$ Introduce Information Leakage in Time Series Forecasting?
I have tick-level data for a single trading day of a specific contract and aim to conduct time series analysis on it. The mid-price at each tick is computed as $MidPrice=0.5×(Ask_1 +Bid_1)$. The data ...
0 votes
0 answers
58 views
How Random Walk with Weighted Sampling different from GARCH/ARIMA?
Lets predict stock price distribution 1 year ahead using historical data. Price path in between not needed, only on the price on the final day. It's assumed that stock price may be affected by a) ...
0 votes
0 answers
130 views
eGARCH(1,1) model evaluation (R). How to assess model integrity?
I am using GARCH modelling for my bachelor thesis in Economics. I am entirely new to the concept, and have only been looking into these kind of models for about a week now. I am trying to do a ...
1 vote
0 answers
58 views
Inverse differencing in continuous time
I want to fit a continuous time ARMA (CARMA) model to traffic data $T_t$. After removing trend and seasonality I need first order differencing to obtain stationarity. Then I fit a CARMA model (yuima ...
0 votes
0 answers
61 views
Weak stationarity of continuous ARMA process from Brockwell
I am currently working on Brockwell "Levy-driven CARMA processes" (2001) and I am stuck in the introduction. So we have a continuous AR process (CAR(p)) \begin{align*} X_t=e^{At}X_0+\...
0 votes
0 answers
86 views
Does cointegration test of exogenous variable with Y variable make sense when doing ARIMAX/SARIMAX?
The cointegration test between two time series variable is generally relevant from my understanding when you are performing a regression model. In terms of ARIMA model the approach is straightforward ...
1 vote
1 answer
169 views
In copula modeling for time series data, why do we need to fit ARIMA/GARCH and then work on standardized residulas.?
I have read that for standard copula modeling, you can get empirical cdf of data and use it for copulas. But for time series data, we must first fit ARIMA/GARCH, get standardized residuals, and only ...
2 votes
1 answer
345 views
Are ARMA-GARCH-type models suitable for monthly data?
I understand that ARMA-GARCH models and their variations are usually applied to daily time series. While I know that such models can be also estimated on monthly data, I have seen few applications in ...
1 vote
1 answer
238 views
Why is $Z_t$ uncorrelated with $X_{t-1}$ in $X_t=\theta X_{t-1}+Z_t$?
In a solution to the problem below, the teaching assistant solves it by calculating $\mathbb{E}[X_t^2]$ and ends up with also having to calculate $\mathbb{E}[X_{t-1}Z_t]$ after expanding the square. ...
0 votes
0 answers
398 views
Do I use % return, log return or diff of prices to plot ACF?
I am reading a book on time series. To make a non-stationary series stationary, sometimes we need to difference the series. When it comes to finance, prices are non-stationary. Many authors fit ARMA ...
0 votes
1 answer
344 views
How are the values of the ARMA process linked in python
In the code below, you can see that 'ret' is an ARMA process, and I am trying to see how the ret[0], etc... ret3, ret4, etc. are linked to each other, and although I know the formula for the ARMA ...
1 vote
0 answers
98 views
Price Prediction Intervals from Forecasted Returns (ARIMA)
I have successfully fit an ARIMA model to a time series of the daily returns of power futures prices. The question I have is: How can I create a prediction interval for the prices? Or, alternatively, ...
0 votes
0 answers
77 views
What is the Id in the ARIMA model in Notes on financial risk of Privault?
I hope this is the right place to ask this question. I am studying the time series from Privault's Notes on Financial Risks. In the ARIMA model part I can't understand what is "I_d", it is ...
2 votes
0 answers
111 views
Electricity Futures Risk Premiums With ARIMA
I am attempting to model long-term electricity prices using today's futures prices. Unlike most futures, electricity is delivered over a period of time (usually a month), rather than at a point in ...
0 votes
0 answers
62 views
ARMAX model with rolling window for predicting inflation
First of all, similar questions like mine are answered on this forum but I never quite saw an answer to this specific question. I'm trying to predict inflation by using an AR model with exogenous ...