Natalia Bochkina's home page

I am a lecturer in Statistics at the School of Mathematics, University of Edinburgh.

School of Mathematics offers a range of Master of Science programmes, including MSc in Statistics and Operational Research

Funding is available, on competitive basis, for UK/EU PhD studentships (information is here)

Current areas of research (click here for more details).

1.      Bayesian modelling in wavelet nonparametric regression (a priori Besov regularity properties; optimality).

2.      Bayesian inverse problems

3.      Inference in nonregular problems

4.      Concentration of the posterior distribution (Bernstein-von Mises theorem)

5.      Inference under model misspecification

6.      Sparse modelling of high dimensional data

7.      Modelling of functional genomics data (microarrays, metabolic NMR spectra)

LMS/Turing workshop on inverse problems and Data Science, 8-10 May 2017

Short course on Bayesian inverse problems, 11 May 2017 (link)

Brief research statement

My current main research direction is Bayesian inference for nonregular statistical models, particularly where the unknown parameter is on the boundary of the parameter space. For such models, the MLE can be a sharp maximum point of the loglikelihood which changes the rate of concentration of the posterior distribution and the local concentration of the posterior distribution. This phenomenon can also occur for misspecified models. (Bochkina and Green, 2014)
My other area of interest is Bayesian inverse problems where the error distribution is not necessarily Gaussian and where the likelihood may not be regular. Such problems arise, for instance, in computerised tomography.
I am also working on wavelet nonparametric regression, including optimality of Bayesian wavelet estimators and the regularity properties of the prior model.
My other interest is Bayesian analysis of genomics data. My past work in this area included modelling differential expression for genomic, proteomic and metabolic data including mixture modelling and model checks, and currently I am working on recovering sparse gene, protein and metabolic networks from such data.

Brief CV.

Statistics Seminar Webpage

Publications (see also Edinburgh Research Explorer)


1.      Adria Caballe, Natalia Bochkina, Claus Mayer (2017) Joint Estimation of Sparse Networks with application to Paired Gene Expression data. arXiv: 1608.05533.

2.      Adria Caballe, Natalia Bochkina, Claus Mayer (2017) “Selection of the Regularization Parameter in Graphical Models using Network Characteristics”, Journal of Computational and Graphical Statistics (accepted), arXiv:1509.05326.

3.      Natalia Bochkina and Judith Rousseau (2017) "Adaptive density estimation based on a mixture of Gammas", Electronic Journal of Statistics, Volume 11, Number 1, 916-962. arXiv:1605.08467.

4.      Carolina Costa Mota Paraiba, Natalia Bochkina and Carlos Alberto Ribeiro Diniz (2017) "Bayesian truncated beta nonlinear mixed-effects models", Journal of Applied Statistics DOI:10.1080/02664763.2016.1276891.

5. Bordovskaia, Nina V.; Bochkina, Natalia A.; Koshkina, Elena A.(2016) “Use of didactic terminology by teachers at various stages of professional communication  2016 INTERNATIONAL CONFERENCE EDUCATION ENVIRONMENT FOR THE INFORMATION AGE (EEIA-2016) Book Series: SHS Web of Conferences   Volume: 29     Article Number: UNSP 01013  

6.      Natalia Bochkina (2016) "Selection of KL neighbourhood in robust Bayesian inference", Statistical Science, Vol. 31, No. 4, 499-502

7.       Elena Koshkina, Nina Bordovskaia, Natalia Bochkina (2016) "Didactic Terminology Operated by Russian Future and Practising Teachers: Comparative Analysis" Procedia - Social and Behavioral Sciences, V. 217, p. 42 - 48

8.       Bordovskaia, Nina V.; Bochkina, Natalia A.; Koshkina, Elena A.(2016) Use of didactic terminology by teachers at various stages of professional communication 2016 INTERNATIONAL CONFERENCE EDUCATION ENVIRONMENT FOR THE INFORMATION AGE (EEIA-2016) Book Series: SHS Web of Conferences Volume: 29 Article Number: UNSP 01013

9.       Natalia A. Bochkina and Peter J. Green (2014) The Bernstein-von Mises theorem and non-regular models. Annals of Statistics, V. 42, N. 5, 1850-1878. On ArXiv:

10.    N. Bochkina (2013) Consistency of posterior distribution in generalized linear inverse problems, Inverse problems, 29, 095010

11.       Natalia Bochkina and Ya'acov Ritov (2011) Bayesian Perspectives on Sparse Empirical Bayes Analysis (SEBA).  (in “Inverse

 Problems and High-Dimensional estimation”, Springer Lecture Notes in Statistics, eds P. Alquier, E. Gautier, G. Stolz, p171-189).

12.       Natalia Bochkina and Alex Lewin (2010) Classification for Differential Gene Expression using Bayesian Hierarchical modelling, in “Bayesian Modelling for Bioinformatics” (eds D.Dey, S.Ghosh and B.Mallick, p. 37-71)

13.       P.McNabb, N.Bochkina, D.Wilson and J.Bialek. (2010) Oscillation source location using wavelet transforms and generalized linear models”, Transmission and Distribution Conference and Exposition, IEEE PES (Conference Proceedings)

14.       P.McNabb, N.Bochkina and J.Bialek. (2010) Oscillation source location in power systems using logic regression, Innovative Smart Grid Technologies Conference Europe (ISGT Europe), IEEE PES (Conference Proceedings)

15.       Bochkina N., Sapatinas T. (2009). Minimax rates of convergence and optimality of Bayes factor wavelet regression estimators under pointwise risks. Statistica Sinica, Vol. 19, 1389-1406. Description: Description: (online) Supplement: Statistica Sinica, Vol. 19, S21-S37 (2009). Description: Description:

16.       Lewin A., Bochkina N., Richardson S (2007) Fully Bayesian Mixture Model for Differential Gene Expression: Simulations and Model Checks Statistical Applications in Genetics and Molecular Biology: Vol. 6 : Iss. 1, Article 36.

17.       Bochkina N., Richardson S. (2007) Tail posterior probability for inference in pairwise and multiclass gene expression data. Biometrics, 63(4): 1117-25 (journal website and Supplementary material)

18.   Turro E, Bochkina N, Hein AM, Richardson S. (2007) BGX: a Bioconductor package for the Bayesian integrated analysis of Affymetrix GeneChips (application note). BMC Bioinformatics, 12; 8(1):439

19.   Bochkina N. (2007) Goodness-of-fit Test for Dependent Observations via Wavelets. Journal of Statistical Planning and Inference, Volume 137, Issue 8, 1 August 2007, Pages 2593-2612

20.   Bochkina N., Sapatinas T. (2006) On pointwise optimality of Bayes Factor wavelet regression estimators. Sankhya, 68, 513-541. (pdf).

21.  Bochkina N.A., Sapatinas T. (2005) On the Posterior Median Estimators of Possibly Sparse Sequences. Annals of Institute of Statistical Mathematics, Vol. 57, 315-351 (Abstract).

22.  S.Parry, D.Hadaschik, C.Blancher, K.Mande, N.Bochkina, H.Morris, S.Richardson, T.Aitman, D.Gauguier, K.Siddle, J.Scott and A.Dell. (2006) Glycomics investigation into insulin action. Biochimica et Biophysica Acta, 1760(4):652-68.

23.  A.Bart, N.Alekseyeff (Klochkova), N.Bochkina. Partial Inversion of Functions for Statistical Modelling of Regulatory Systems. In Advances in Stochastic Simulation Methods (Series: Statistics for Industry and Technology) p.355-371. Eds. Balakrishnan, V.B.Melas, S.Ermakov, Burkhaser, Boston-Basel-Berlin, 2000.

24.  A.G. Bart, V.M. Kozhanov, N.M. Chmykhova, N.A. Botchkina, L.A. Ternovaya, H.P. Clamann. Topological and statistical analysis of 3-D reconstructions of axon collaterals. Neurophysiol 32:249-259, 2000

25.  A.G.Bart, N.A.Bochkina. (1998) Fiducial Distributions in Statistical Simulation of Regulatory Systems, p.238-242, In Proceedings of St.Petersburg Workshop on Simulation, Eds. S.M.Ermakov, Y.N.Kashtanov, V.B.Melas, St.Petersburg University Press.

Book review

Bochkina N. (2006) “Probabilistic Modeling in Bioinformatics and Medical Informatics by D. Husmeier, R. Dybowski and S. Roberts (eds)” (book review). Journal of the Royal Statistical Society: Series A 169 (4), 1009-1010.


Bochkina N., Ritov Y. Sparse Empirical Bayes Analysis.

Bochkina N. Besov regularity of functions with sparse random wavelet coefficients. (pdf  , also arxiv 0911.5482)



Contact details.

Office: JCMB 4612


School of Mathematics,

King’s Buildings,

University of Edinburgh,
Mayfield Road,

Edinburgh, EH9 3FD.

Tel:   0131 650 8597

Fax:  0131 650 6553

Email: N.Bochkina at edinburgh