Ancestral inference for branching processes in random environments and an application to polymerase chain reaction

DOI10.1080/15326349.2019.1588133zbMath1426.62248OpenAlexW2941626166WikidataQ128024167 ScholiaQ128024167MaRDI QIDQ5231291

Lei Li, Anand N. Vidyashankar

Publication date: 26 August 2019

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2019.1588133

zbMATH Keywords

ancestral inferencerelative quantitationBPREreplicated BPREvariance absolute quantitation

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Markov processes: estimation; hidden Markov models (62M05) Classical flows, reactions, etc. in chemistry (92E20) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Moments and large deviations for supercritical branching processes with immigration in random environments

Uses Software

• R
• MuPlex

Cites Work

• Unnamed Item
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• On the limiting distribution of a supercritical branching process in a random environment
• Modelling the PCR amplification process by a size-dependent branching process and estimation of the efficiency
• Discrete Time Branching Processes in Random Environment
• Measure Theory and Probability Theory
• Necessary Conditions for Almost Sure Extinction of a Branching Process with Random Environment
• On Branching Processes in Random Environments

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