Confidence intervals for nonhomogeneous branching processes and polymerase chain reactions

DOI10.1214/009117904000000775zbMath1088.62101arXivmath/0503659OpenAlexW3103144498MaRDI QIDQ1775447

Didier Piau

Publication date: 3 May 2005

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

Full work available at URL: https://arxiv.org/abs/math/0503659

zbMATH Keywords

mutation rateharmonic momentsimmortal branching processespolymerase chain reactionssums of exchangeable random variables

Mathematics Subject Classification ID

Markov processes: estimation; hidden Markov models (62M05) Applications of branching processes (60J85) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (6)

Asymptotics of Posteriors for Binary Branching Processes ⋮ What can be observed in real time PCR and when does it show? ⋮ Bayesian Estimation for Quantification by Real-time Polymerase Chain Reaction Under a Branching Process Model of the DNA Molecules Amplification Process ⋮ Harmonic continuous-time branching moments ⋮ Harmonic moments of inhomogeneous branching processes ⋮ Estimation of the PCR efficiency based on a size-dependent modelling of the amplification process

Cites Work

• Large deviation rates for branching processes. I: Single type case
• Immortal branching Markov processes: Averaging properties and PCR applications.
• Large deviation rates for branching processes. II: The multitype case

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