Branching Processes
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Publication:5802537
DOI10.1214/aoms/1177730146zbMath0041.45603OpenAlexW4245956052MaRDI QIDQ5802537
Publication date: 1948
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177730146
Related Items (77)
Thin and thick points for branching measure on a Galton-Watson tree ⋮ Asymptotic properties of supercritical age-dependent branching processes and homogeneous branching random walks ⋮ Uniqueness for branching diffusion process with absorbing boundary ⋮ On a generalization of the Weibull distribution and its application in quality control ⋮ Exact Hausdorff measure on the boundary of a Galton-Watson tree ⋮ On the left tail asymptotics for the limit law of supercritical Galton-Watson processes in the Böttcher case ⋮ Harmonic moments of branching processes in random environments ⋮ Asymptotic properties of expansive Galton-Watson trees ⋮ Brownian motion on the Sierpinski gasket ⋮ Conditional least squares estimation in nonstationary nonlinear stochastic regression models ⋮ The Harris Extended Exponential Distribution ⋮ On the Harris extended family of distributions ⋮ Unnamed Item ⋮ On the shape of the domain occupied by a supercritical branching random walk ⋮ Lineage reconstruction from clonal correlations ⋮ A limit theorem for a position-dependent branching process ⋮ Some bounds related to Harris family of distributions ⋮ Concentration inequalities from monotone couplings for graphs, walks, trees and branching processes ⋮ Identifiability of age-dependent branching processes from extinction probabilities and number distributions ⋮ Supercritical branching processes and the role of fluctuations under exponential population growth ⋮ On the genealogy of a rare allele ⋮ On the Harris-G class of distributions: general results and application ⋮ Small value probabilities for continuous state branching processes with immigration ⋮ Bayesian non-parametric estimation for age-dependent branching processes ⋮ Harmonic moments and large deviations for supercritical branching processes with immigration ⋮ Large deviation rates for Markov branching processes ⋮ THE ASYMPTOTIC DEGREE DISTRIBUTIONS OF RANDOM FAST GROWTH MODELS FOR TREELIKE NETWORKS ⋮ Inférence statistique dans les processus stochastiques: Aperçu historique ⋮ On qualitative robustness of the Lotka-Nagaev estimator for the offspring mean of a supercritical Galton-Watson process ⋮ Harris skewed normal distribution ⋮ Approximation of the number of descendants in branching processes ⋮ Oscillatory critical amplitudes in hierarchical models and the Harris function of branching processes ⋮ The Erlang weighted tree, a new branching process ⋮ T. E. Harris and branching processes ⋮ The growth of iterates of multivariate generating functions ⋮ On generalized multiplicative cascades ⋮ Regularly log-periodic functions and some applications ⋮ A new family of distributions based on probability generating functions ⋮ Small value probabilities for supercritical branching processes with immigration ⋮ Tail asymptotics for the supercritical Galton-Watson process in the heavy-tailed case ⋮ The Local Limit Theorem and Some Related Aspects of Super-Critical Branching Processes ⋮ Multifractal spectra and precise rates of decay in homogeneous fragmentations ⋮ Estimation of the infection parameter of an epidemic modeled by a branching process ⋮ Some Cluster Size and Percolation Problems ⋮ The Diameter of Sparse Random Graphs ⋮ A ratio limit theorem for erased branching Brownian motion ⋮ An accurate approximation for the expected site frequency spectrum in a Galton-Watson process under an infinite sites mutation model ⋮ Reliability test plans for percentiles based on the Harris generalized linear exponential distribution ⋮ Asymptotic properties and absolute continuity of laws stable by random weighted mean. ⋮ Large deviations for supercritical multitype branching processes ⋮ Non-parametric estimation in the Galton-Watson process ⋮ Log-periodic critical amplitudes: a perturbative approach ⋮ Limit theorem for a supercritical Galton-Watson process ⋮ Continuous branching processes and spectral positivity ⋮ On an optimal asymptotic property of the maximum likelihood estimator of a parameter from a stochastic process ⋮ Branching Processes with Incubation ⋮ Exponential inequalities for martingales and asymptotic properties of the free energy of directed polymers in a random environment ⋮ Moments for multidimensional Mandelbrot cascades ⋮ Existence and uniqueness theorems in invariant imbedding. I: Conservation principles ⋮ The linear birth‒death process: an inferential retrospective ⋮ Symmetric fixed points of a smoothing transformation ⋮ Sampling a branching tree ⋮ Relative invariants, closure, and stochastic differential equations ⋮ Frozen percolation on the binary tree is nonendogenous ⋮ Harmonic moments of inhomogeneous branching processes ⋮ A limit theorem for a supercritical branching process ⋮ Les procesus stochastiques en cascades ⋮ The Convergence to Equilibrium of Neutral Genetic Models ⋮ Parameter estimation in branching processes with almost sure extinction ⋮ Unnamed Item ⋮ Some divisibility problems in branching processes ⋮ Separating signal from noise ⋮ Small‐sample results for maximum‐likelihood estimation in branching processes ⋮ Ratio limit theorems for cascade processes ⋮ Fixed points with finite variance of a smoothing transformation. ⋮ Unnamed Item ⋮ Stochastic models of stem cells and their descendants under different criticality assumptions
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