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We consider the problem of minimax estimating the fractional derivative of the order âˆ’ 1 2 of an unknown function in the Gaussian white noise model. This problem is closely related to the well-knownâ€¦ (More)

- Eduard N. Belitser, Farida N. Enikeeva
- Probl. Inf. Transm.
- 2008

0 Ï†i(t) dw(t) are i.i.d. N (0, 1) random variables. Thus, if we set Îµ = n âˆ’1/2, then the problem of estimating an unknown signal from observations (1) is equivalent to the problem of estimating aâ€¦ (More)

This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, redistribution , reselling , loan or sub-licensing, systematic supply orâ€¦ (More)

We analyze the effect of a heterogeneous variance on bump detection in a Gaussian regression model. To this end we allow for a simultaneous bump in the variance and specify its impact on theâ€¦ (More)

We consider the problem of estimating a smooth functional of an unknown signal with discontinuity from Gaussian observations. The signal is a known function depending on an unknown parameter. Thisâ€¦ (More)

In this paper we consider a problem of adaption in estimating a fractional derivative of an unknown density from observations in the Gaussian white noise. This problem is closely related to theâ€¦ (More)

- Farida N. Enikeeva, Konstantin Severinov, Mikhail S. Gelfand
- Journal of theoretical biology
- 2010

The success of a phage that infects a bacterial cell possessing a restriction-modification (R-M) system depends on the activities of the host methyltransferase and restriction endonuclease, and theâ€¦ (More)

- G. K. Golubev, Farida N. Enikeeva
- Probl. Inf. Transm.
- 2001

Abstractâ€”In the Wicksell problem, it is required to reconstruct a distribution function of radii of balls located in an opaque medium from measurements of radii of circles obtained by intersectingâ€¦ (More)

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching andâ€¦ (More)

- Farida N. Enikeeva, Ekaterina A Kotelnikova, Mikhail S. Gelfand, Vsevolod J. Makeev
- BMC Evolutionary Biology
- 2007

Molecular evolution is usually described assuming a neutral or weakly non-neutral substitution model. Recently, new data have become available on evolution of sequence regions under a selectiveâ€¦ (More)

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