Observation Influence Diagnostic of a Data Assimilation System - Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications - page 107

Cardinali C, Prates F (2011) Performance measurement with advanced diagnostic tools of all-sky
microwave imager radiances in 4D-Var.Q J R Meteorol Soc 137(Issue 661, Part B):2038-2046
Cardinali C, Pezzulli S, Andersson E (2004) Influence matrix diagnostics of a data assimilation
system. Q J R Meteorol Soc. 130:2767-2786
Craven P, Wahba G (1979) Smoothing noisy data with spline functions: estimating the correct
degree of smoothing by the method of generalized cross-validation. Numer Math 31:377-403
Geer AJ, Bauer P (2011) Observation errors in all-sky data assimilation. Q J R Meteorol Soc
137(Issue 661, Part B):2024-2037
Healy SB, Thepaut J-N (2006) Assimilation experiments with CHAMP GPS radio occultation
measurements. Q J R Meteorol Soc 132:605-623
Hoaglin DC, Welsch RE (1978) The hat matrix in regression and ANOVA. Am Stat 32:17-22, and
Corrigenda 32:146
Hoaglin DC, Mosteller F, Tukey JW (1982) Understanding robust and exploratory data analysis.
Wiley Series in Probability and Statistics. Wiley, New York
Junjie L, Kalnay E, Miyoshi T, Cardinali C (2009) Analysis sensitivity calculation within an
ensemble Kalman filter. Q J R Meteorol Soc 135:1842-1851
Langland R, Baker NL (2004) Estimation of observation impact using the NRL atmospheric
variational data assimilation adjoint system. Tellus 56A:189-201
Lorenc A (1986) Analysis methods for numerical weather prediction. Q J R Meteorol Soc
112:1177-1194
Rabier F, Jarvinen H, Klinker E, Mahfouf JF, Simmons A (2000) The ECMWF operational
implementation of four-dimensional variational assimilation. Part I: experimental results with
simplified physics. Q J R Meteorol Soc 126:1143-1170
Rabier F, Fourri ´ eN,Chafaı D, Prunet P (2002) Channel selection methods for infrared atmospheric
sounding interferometer radiances. Q J R Meteorol Soc 128:1011-1027
Radnoti G, Bauer P, McNally A, Cardinali C, Healy S, de Rosnay P (2010) ECMWF study on
the impact of future developments of the space-based observing system on Numerical Weather
Prediction. ECMWF Tec. Memo 638
Shen X, Huang H, Cressie N (2002) Nonparametric hypothesis testing for a spatial signal. J Am
Stat Ass 97:1122-1140
Talagrand O (1997) Assimilation of observations, an introduction. J Meteorol Soc Japan

75(1B):191-209
Thepaut JN, Hoffman RN Courtier P (1993) Interactions of dynamics and observations in a four-
dimensional variational assimilation. Mon Weather Rev 121:3393-3414
Thepaut JN, Courtier P, Belaud G Lemaıtre G (1996) Dynamical structure functions in four-
dimensional variational assimilation: a case study. Q J R Meteorol Soc 122:535-561
Tukey JW (1972) Data analysis, computational and mathematics. Q Appl Math 30:51-65
Velleman PF, Welsch RE (1981) Efficient computing of regression diagnostics. Am Stat 35:234-
242
Wahba G (1990) Spline models for observational data. SIAM, CBMS-NSF. Regional conference
series in applied mathematics, vol 59. Society for Industrial and Applied Mathematics,
Philadelphia, p 165
Wahba G, Johnson DR, Gao F, Gong J (1995) Adaptive tuning of numerical weather prediction
models: randomized GCV in three- and four-dimensional data assimilation. Mon Weather Rev
123:3358-3369
Ye J (1998) On measuring and correcting the effect of data mining and model selection. J Am Stat
Ass 93:120-131
Zhu Y, Gelaro R (2008) Observation sensitivity calculations using the adjoint of the Gridpoint
Statistical Interpolation (GSI) analysis system. Mon Weather Rev 136:335-351