**Recent Publications**

**Books**

**1****.** Asymptotic Statistics (with M. Denker), Birkhauser, DMV Lecture
Series (May, 1990).

**2.** Random Dynamical Systems (2007) (with M. Majumdar). Cambridge University Press.

**3.** A Basic Course in Probability Theory (2007)
(with E.C. Waymire). Springer.

**4.** Stochastic Processes with Applications
(2009) (with E.C. Waymire). SIAM Classics in Applied
Mathematics 61 (SIAM reprint with Errata). Original edition published in 1990
by John Wiley, New York.

**5.** Normal Approximation and Asymptotic Expansions (with R. Ranga Rao) (2010). SIAM Classics in Applied Mathematics 64 (Revised Reprint). Original edition by Wiley, New York (1976). Russian Edition (1982). Revised Reprint by Krieger, Florida(1986).

**6.** Nonparametric Inference on Manifolds with Applications to
Shape Spaces (2012) (with A. Bhattacharya). IMS Monograph
Series #2, Cambridge University Press, Cambridge, UK.

**7.** A Course in Mathematical Statistics and Large Sample Theory
(2016) (With L.Lin and V.Patrangenaru).
Springer Series in Statistics. To
appear.

**Articles **

**18****.** Majoring kernels and stochastic cascades with applications
to incompressible Navier-Stokes equations (with L.
Chen, S. Dobson, R. Guenther, C. Orum, M. Ossiander, E. Thomann, E. Waymire) (2003) Trans. Amer. Math. Soc.
355, 5003-5040.

**17**. Semi-Markov cascade representations of
local solutions to 3-D incompressible Navier-Stokes
equations (with L. Chen, S. Dobson, R. Guenther, C. Orum,
M. Ossiander, E. Thomann,
E. Waymire). (2005) In Probability and Partial
Differential Equations in Modern Applied Mathematics, IMA vol. 140, Springer,
27-40.

**16.** Stability in distribution of
randomly perturbed quadratic maps as Markov processes (with M. Majumdar). (2004) Ann. Appl. Probab.
14, no. 4, 1802–1809.

**15**. Phase changes with time and
multi-scale homogenizations of a class of anomalous diffusions. (2005) In Probability and partial differential equations in Modern
Applied Mathematics. IMA Vol. Math. Appl., 140,
Springer, New York, 11-26.

**14.** Large sample theory of intrinsic
and extrinsic sample means on manifolds. I (with V. Patrangenaru).
(2003) Ann. Statist. 31, no. 1, 1–29.

**13.** Large sample theory of
intrinsic and extrinsic sample means on manifolds. II (with V. Patrangenaru). (2005) Ann. Statist. 33, no. 3, 1225–1259.

**12.** Consistency and asymptotic normality
of the estimated effective doses in bioassay (with M. Kong). (2007) J. Statist.
Plann. Inference 137, no. 3,
643–658.

**11.** Statistics on Riemannian
manifolds: asymptotic distribution and curvature (with A. Bhattacharya). (2008)
Proc. Amer. Math. Soc. 136, no. 8, 2959–2967.

**10.** Nonparametric inference for
extrinsic means on size-and-(reflection)-shape
manifolds with applications in medical imaging (with A. Bandulasiri,
V. Patrangenaru). (2009) J.
Multivariate Anal. 100, no. 9, 1867–1882.

**9.** An adaptive nonparametric method
in benchmark analysis for bioassay and environmental studies (with L. Lin). (2010) Statist. Probab. Lett. 80, no. 23-24, 1947–1953.

**8.** Limit theorems for monotone
Markov processes (with M. Majumdar, N. Hashimzade). (2010) Sankhya A 72, no. 1, 170–190.

**7.** On the speed of convergence of
multidimensional diffusions to equilibrium (with A. Wasielak).
(2012) Stoch. Dyn. 12, no. 1, 1150003, 19 pp.

**6.** A nonparametric theory of
statistics on manifolds (2013). In Limit theorems in
probability, statistics and number theory-In Honor of Friedrich Gotze; 173-206.

**5.** Recent progress in the
nonparametric estimation of monotone curves—with applications to bioassay and
environmental risk assessment. (2013) Comput.
Statist. Data Anal. 63, 63–80.

**4.** Problems of ruin and survival in
economics: Applications of limit theorems in probability (with Discussions)
(with M. Majumdar, L. Lin) (2013). Sankhya B 75, no. 2, 190–194.

**3.** Statistics on manifolds and landmarks
based image analysis: a nonparametric theory with applications (with V. Patrangenaru). (2014) J. Statist. Plann.
Inference 145, 1–22.

**2.** Nonparametric benchmark dose estimation with
continuous dose-response data. Scandinavian
Journal of Statistics 42 (2015), 713--731 (with Lin, L and Piegorsch, W).

**
1.**
Omnibus CLTs for Fr\'echet
means and nonparametric inference on non-Euclidean spaces. Proceedings of the American Mathematical Society(2016). To appear. Arxiv:1306.5806
. (with Lin, L).