Simultaneous Least Squares Treatment of Statistical and Systematic Uncertainties

Abstract

We present a least squares method for estimating parameters from measurements of event yields in the presence of background and crossfeed. We adopt a unified approach to incorporating the statistical and systematic uncertainties on the experimental measurements input to the fit. We demonstrate this method with a fit for absolute hadronic D meson branching fractions, measured in e+e- -> ψ(3770) -> D\bar D$ transitions.

9 pages, 2 figures; minor clarifications, one figure added

References in corpus (1)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by in corpus (14)

• Measurement of Absolute Hadronic Branching Fractions of D Mesons and e^+ e^- --> D D-bar Cross Sections at the psi(3770)
• Charm Meson Decays
• Time-Independent Measurements of D0-D0bar Mixing and Relative Strong Phases Using Quantum Correlations
• Determination of the D0 -> K+pi- Relative Strong Phase Using Quantum-Correlated Measurements in e+e- -> D0 D0bar at CLEO
• Observation of Three Charmoniumlike States with $J^{PC}=1^{--}$ in $e^{+}{e}^{-}\to D^{\ast 0}{D}^{\ast -}{\pi }^{+}$
• Determination of the Strong Phase in D0 -> K+pi- Using Quantum-Correlated Measurements
• Hadronic D and D_s Meson Decays
• D0barD0 Quantum Correlations, Mixing, and Strong Phases
• Simultaneous least squares fitter based on the Lagrange multiplier method
• Charm Meson Mixing: An Experimental Review
• D0D0bar Quantum Correlations, Mixing, and Strong Phases
• Measurements of Absolute Hadronic Branching Fractions of D Mesons
• Charm Hadronic Decay Branching Fractions From CLEO-c
• Hadronic branching fractions and DDbar cross-sections at Psi(3770) from CLEO-c