Our People

Rob Willink

Robin Willink

Adjunct Scientist


Areas of expertise

  • Statistical analysis
  • Measurement uncertainty
  • Mathematical analysis


PhD, Medical Physics, Leicester UK, 1994


Rob studied physics at Victoria University of Wellington, with mathematics and statistics. He obtained his PhD within the Medical Physics Department of the University of Leicester in the analysis of Doppler ultrasound signals of blood flow. As a member of the Applied Mathematics team at Industrial Research Ltd from 1996 to 2010, Rob worked alongside metrologists at MSL on projects relating to the analysis of measurement uncertainty. His interests are in the logic and techniques and of statistical inference, especially in their application to experimental data. He is the author of the book Measurement Uncertainty and Probability (Cambridge University Press), and has many journal publications in metrological statistics and applied statistics.


Measurement Uncertainty and Probability, (Cambridge University Press) 2013.
ISBN 978-1-107-02193-8

An improved procedure for combining Type A and Type B components of measurement uncertainty
R. Willink, International Journal of Metrology and Quality Engineering 4 (2013) 55–62

Confidence intervals and other statistical intervals in metrology
R. Willink, International Journal of Metrology and Quality Engineering 3 (2012) 169–178

Measurement uncertainty and procedures of conformity assessment
R. Willink, in 'Advanced Mathematical and Computational Tools in Metrology and Testing, vol.9' eds. F. Pavese et al. World Scientific, Singapore (2012) 426-433

A unique property of the normal distribution associated with perturbing a general random variable.
R. Willink, American Statistician 62 (2008) 144-146

A sequential algorithm for recognition of a developing pattern with application in orthotic engineering.
R. Willink, Pattern Recognition 41 (2008) 627-636

What can be said about the remainder in a divergent series?
R. Willink, The Mathematical Scientist 32 (2007) 83-87

Principles of probability and statistics for metrology. R. Willink, Metrologia 43 (2006) S211-S219

A procedure for the evaluation of measurement uncertainty based on moments.
R. Willink, Metrologia 42 (2005) 329-343

A confidence interval and test for the mean of an asymmetric population.
R. Willink, Communications in Statistics – Theory and Methods 34 (2005) 753-766

A classical method for uncertainty analysis with multidimensional data.
R. Willink and B. D. Hall, Metrologia, 2002, 39(4), 361-369

Does “Welch-Satterthwaite” make a good uncertainty estimate?
B. D. Hall and R. Willink, Metrologia, 2001, 38(1), 9-15

Detection of corruption in Gaussian processes with application to noise thermometry.
R. Willink and D. R. White, Metrologia, 1998, 35(6):787-798

Statistical bias and variance in blood flow estimation by spectral analysis of Doppler signals.
R. Willink and D. H. Evans, Ultrasound in Medicine and Biology, 1995, 21(7):919-935

Volumetric blood flow calculation using a narrow ultrasound beam.
R. Willink and D. H. Evans, Ultrasound in Medicine and Biology, 1995, 21(2):203-216