#### Paper Mentions

#### References

SHOWING 1-10 OF 221 REFERENCES

Stochastic processes and statistical inference

- Mathematics
- 1950

The purpose of this thesis is, par t ly to sho~ the possibility of applying statistical concepts and methods of inference to stochastic processes, and part ly to obtain practically working methods of… Expand

Statistical Inference for Stochastic Processes

- Computer Science
- International Encyclopedia of Statistical Science
- 2011

Chebyshev's inequality for Hilbert-space valued random elements

- Mathematics
- 2010

We obtain a new generalization of Chebyshev's inequality for random elements taking values in a separable Hilbert space.

Nonparametric density estimation for functional data by delta sequences

- Mathematics
- 2010

We consider the problem of estimation of density function by the method of delta sequences for functional data with values in an infinite dimensional separable Banach space.

PARAMETRIC ESTIMATION FOR LINEAR SYSTEM OF STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY FRACTIONAL BROWNIAN MOTIONS WITH DIFFERENT HURST INDICES

- 2010

We consider the problem of maximum likelihood estimation of the common trend parameter for a linear system of stochastic differential equations driven by two independent fractional Brownian motions… Expand

Statistical inference for fractional diffusion processes

- Mathematics
- 2010

Stochastic processes are widely used for model building in the social, physical, engineering and life sciences as well as in financial economics. In model building, statistical inference for… Expand

Sufficient conditions for stochastic equality of two distributions under some partial orders

- Mathematics
- 2010

We establish some conditions for stochastic equality of two nonnegative random variables which are ordered with respect to variability ordering or with respect to mean residual life ordering or with… Expand

Wavelet linear estimation for derivatives of a density from observations of mixtures with varying mixing proportions

- Mathematics
- 2010

A wavelet based linear estimator is proposed for the derivatives of a probability density function based on a sample from a finite mixture of components with varying mixing proportions. It extends… Expand

Conditional independence, conditional mixing and conditional association

- Mathematics
- 2009

Some properties of conditionally independent random variables are studied. Conditional versions of generalized Borel-Cantelli lemma, generalized Kolmogorov’s inequality and generalized Hajek-Renyi… Expand