Large deviation rates for branching processes. I: Single type case

From MaRDI portal
Publication:1336589

DOI10.1214/aoap/1177004971zbMath0806.60068OpenAlexW2090441410MaRDI QIDQ1336589

Krishna B. Athreya

Publication date: 12 February 1995

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1177004971




Related Items (49)

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 processLarge deviation for supercritical branching processes with immigrationMoments and large deviations for supercritical branching processes with immigration in random environmentsThe parabolic Anderson model on a Galton-Watson tree revisitedLikely path to extinction in simple branching models with large initial population\(L_ p\) convergence of reciprocals of sample means with applications to sequential estimation in linear regressionLarge deviations for Lotka-Nagaev estimator of a randomly indexed branching processDeviation estimations for Lotka-Nagaev estimator of a branching process with immigrationBounded branching process and and/or tree evaluationThe local limit theorem for supercritical branching processes with immigrationSmall positive values for supercritical branching processes in random environmentLarge and moderate deviations for a class of renewal random indexed branching processLarge deviations for a Poisson random indexed branching processHarmonic moments and large deviations for supercritical branching processes with immigrationLarge deviation rates for Markov branching processesAssouad Spectrum Thresholds for Some Random ConstructionsSelf-normalized Cramér moderate deviations for a supercritical Galton–Watson processNon-uniform Berry-Esseen-type inequalities for a supercritical branching process with immigration in a random environmentGiant vacant component left by a random walk in a random \(d\)-regular graphSEQUENTIAL ESTIMATION FOR SUPERCRITICAL BRANCHING PROCESSESHarmonic moments and large deviation rates for supercritical branching processesLower large deviations for supercritical branching processes in random environmentLarge deviations for sums indexed by the generations of a Galton-Watson processLarge deviation rates for supercritical branching processes with immigrationAsymptotic distributions and Berry-Esseen inequalities for Lotka-Nagaev estimator of a Poisson randomly indexed branching processAsymptotic behaviors for critical branching processes with immigrationHarmonic moments and large deviations for a critical Galton-Watson process with immigrationAvalanches in a short-memory excitable networkExponential inequalities for self-normalized martingales with applicationsLarge deviations for i.i.d. replications of the total progeny of a Galton-Watson processA central limit theorem for biased random walks on Galton-Watson treesDeviations for martingale convergence of a branching process with random indexAsymptotic properties of supercritical branching processes in random environmentsThe speed of a biased walk on a Galton-Watson tree without leaves is monotonic with respect to progeny distributions for high values of biasLarge deviations for supercritical multitype branching processesConfidence intervals for nonhomogeneous branching processes and polymerase chain reactionsDeviation inequalities for bifurcating Markov chains on Galton−Watson treeSelf-normalized large deviation for supercritical branching processesLimit theorems for a supercritical Poisson random indexed branching processPhase transition for the threshold contact process, an approximation of heterogeneous random Boolean networksThe quasi-Assouad dimension of stochastically self-similar setsLong time behaviour for Markovian branching-immigration systemsPersistence of activity in threshold contact processes, an “Annealed approximation” of random Boolean networksNotes on large deviations for branching processes indexed by a Poisson processHow did we get here?Cramér moderate deviations for a supercritical Galton-Watson processIterations of random and deterministic functions




This page was built for publication: Large deviation rates for branching processes. I: Single type case