Harmonic moments and large deviation rates for supercritical branching processes
From MaRDI portal
Publication:1413675
DOI10.1214/aoap/1050689589zbMath1032.60081OpenAlexW2041141870MaRDI QIDQ1413675
Anand N. Vidyashankar, Peter Ney
Publication date: 17 November 2003
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoap/1050689589
Related Items (35)
Mean, What do You Mean? ⋮ Immortal branching Markov processes: Averaging properties and PCR applications. ⋮ Local limit theory and large deviations for supercritical branching processes. ⋮ Large and moderate deviations for a renewal randomly indexed branching process ⋮ Harmonic moments of branching processes in random environments ⋮ Asymptotics of Iterated Branching Processes ⋮ Large deviation for supercritical branching processes with immigration ⋮ Moments and large deviations for supercritical branching processes with immigration in random environments ⋮ Large deviations for Lotka-Nagaev estimator of a randomly indexed branching process ⋮ On large-deviation probabilities for the empirical distribution of branching random walks with heavy tails ⋮ Deviation estimations for Lotka-Nagaev estimator of a branching process with immigration ⋮ The local limit theorem for supercritical branching processes with immigration ⋮ Asymptotic properties for branching random walks with immigration in random environments ⋮ Large deviations for a Poisson random indexed branching process ⋮ Harmonic moments and large deviations for supercritical branching processes with immigration ⋮ Large deviation rates for Markov branching processes ⋮ Self-normalized Cramér moderate deviations for a supercritical Galton–Watson process ⋮ Non-uniform Berry-Esseen-type inequalities for a supercritical branching process with immigration in a random environment ⋮ Large deviations for sums indexed by the generations of a Galton-Watson process ⋮ Asymptotic distributions and Berry-Esseen inequalities for Lotka-Nagaev estimator of a Poisson randomly indexed branching process ⋮ Harmonic moments and large deviations for a supercritical branching process in a random environment ⋮ Moments, moderate and large deviations for a branching process in a random environment ⋮ Harmonic moments and large deviations for a critical Galton-Watson process with immigration ⋮ Exponential inequalities for self-normalized martingales with applications ⋮ Large deviations for i.i.d. replications of the total progeny of a Galton-Watson process ⋮ A central limit theorem for biased random walks on Galton-Watson trees ⋮ Deviations for martingale convergence of a branching process with random index ⋮ Asymptotic properties of supercritical branching processes in random environments ⋮ Self-normalized large deviation for supercritical branching processes ⋮ Harmonic continuous-time branching moments ⋮ Moments for multidimensional Mandelbrot cascades ⋮ Harmonic moments of inhomogeneous branching processes ⋮ Notes on large deviations for branching processes indexed by a Poisson process ⋮ Cramér moderate deviations for a supercritical Galton-Watson process ⋮ Iterations of random and deterministic functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-parametric estimation in the Galton-Watson process
- The local limit theorem for the Galton-Watson process
- Large deviation rates for branching processes. I: Single type case
- Local limit theory and large deviations for supercritical branching processes.
- Exact distributions of kin numbers in a Galton-Watson process
- Regularly varying functions in the theory of simple branching processes
- Estimation of the parameters of a branching process from migrating binomial observations
- Representing Triples of a Symplectic Manifold
- On Estimating the Expected Number of Direct Descendants of a Particle in a Branching Process
- An invariance principle and some convergence rate results for branching processes
This page was built for publication: Harmonic moments and large deviation rates for supercritical branching processes
