When is it no longer possible to estimate a compound Poisson process?
From MaRDI portal
Publication:2444222
DOI10.1214/14-EJS885zbMath1293.62010MaRDI QIDQ2444222
Publication date: 9 April 2014
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ejs/1396271048
Theory of statistical experiments (62B15) Design of statistical experiments (62K99) Inference from stochastic processes (62M99)
Related Items
Nonparametric estimation for compound Poisson process via variational analysis on measures ⋮ Efficient nonparametric inference for discretely observed compound Poisson processes ⋮ Nonparametric adaptive estimation for grouped data ⋮ Nonparametric inference on Lévy measures of compound Poisson-driven Ornstein-Uhlenbeck processes under macroscopic discrete observations ⋮ Adaptive procedure for Fourier estimators: application to deconvolution and decompounding
Cites Work
- Unnamed Item
- The truncated Stieltjes moment problem solved by using kernel density functions
- Non-life insurance mathematics. An introduction with the Poisson process
- On the solution of the finite moment problem
- Hausdorff moment problem and maximum entropy: A unified approach
- Asymptotics in statistics. Some basic concepts.
- Equivalence theory for density estimation, Poisson processes and Gaussian white noise with drift
- Statistical inference across time scales
- Renewal reward processes with heavy-tailed inter-renewal times and heavy-tailed rewards
- Asymptotic distributions of continuous-time random walks: A probabilistic approach
- Price Dynamics in a Markovian Limit Order Market
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Chance and Stability
- Pricing Perpetual Options for Jump Processes
- Introduction to nonparametric estimation