Aggregation of random-coefficient AR(1) process with infinite variance and common innovations
From MaRDI portal
Publication:847911
DOI10.1007/s10986-009-9060-xzbMath1194.60026OpenAlexW1983493655MaRDI QIDQ847911
Donata Puplinskaitė, Donatas Surgailis
Publication date: 19 February 2010
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10986-009-9060-x
long memoryinfinite variancefractional Lévy motionstable distributionaggregation of AR(1) processsample Allen variance
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Fractional processes, including fractional Brownian motion (60G22) Stationary stochastic processes (60G10) Functional limit theorems; invariance principles (60F17)
Related Items
On aggregation of subcritical Galton-Watson branching processes with regularly varying immigration, Nonparametric estimation of the distribution of the autoregressive coefficient from panel random-coefficient AR(1) data, Iterated scaling limits for aggregation of random coefficient AR(1) and INAR(1) processes, CONTEMPORANEOUS AGGREGATION OF TRIANGULAR ARRAY OF RANDOM-COEFFICIENT AR(1) PROCESSES, Joint aggregation of random-coefficient AR(1) processes with common innovations, Joint temporal and contemporaneous aggregation of random-coefficient AR(1) processes, Estimating Long Memory in Panel Random‐Coefficient AR(1) Data, Joint temporal and contemporaneous aggregation of random-coefficient AR(1) processes with infinite variance, Iterated limits for aggregation of randomized INAR(1) processes with Poisson innovations, Aggregation of a random-coefficient ar(1) process with infinite variance and idiosyncratic innovations, Sample covariances of random-coefficient AR(1) panel model, Aggregation of autoregressive random fields and anisotropic long-range dependence, On simultaneous limits for aggregation of stationary randomized INAR(1) processes with Poisson innovations, Limit Theorems for Aggregated Linear Processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Aggregation and memory of models of changing volatility
- On path properties of certain infinitely divisible processes
- Limit theorems for sums of linearly generated random variables
- Time-varying fractionally integrated processes with finite or infinite variance and nonstationary long memory
- Tail probabilities for infinite series of regularly varying random vectors
- Long memory relationships and the aggregation of dynamic models
- Weak convergence of sums of moving averages in the \(\alpha\)-stable domain of attraction
- The asymptotic dependence structure of the linear fractional Lévy motion
- Aggregation in ARCH models
- Asymptotics of empirical processes of long memory moving averages with infinite variance.
- Fractional ARIMA with stable innovations
- Modeling volatility persistence of speculative returns: a new approach
- Contemporaneous aggregation of linear dynamic models in large economies
- Stability of random coefficient ARCH models and aggregation schemes
- AGGREGATION OF THE RANDOM COEFFICIENT GLARCH(1,1) PROCESS
- On defining long-range dependence
- Aggregation of random parameters Ornstein‐Uhlenbeck or AR processes: some convergence results
- Semi-Stable Stochastic Processes
- Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$
- Contemporaneous aggregation of GARCH processes