12 research outputs found
Minimax Robustness of Bayesian Forecasting under Functional Distortions of Probability Densities
The problems of robustness in Bayesian forecasting are considered
under distortions of the hypothetical probability densities. The expressions
for the guaranteed upper risk functional are obtained and the robust prediction
statistics under certain types of distortions are constructed
On Robustifying of the Sequential Probability Ratio Test for a Discrete Model under βContaminationsβ
The problem of robustifying of the sequential probability ratio test
is considered for a discrete hypothetical model. Exact values for error probabilities
and for conditional expected sample sizes are obtained. Asymptotic
robustness analysis for these characteristics is performed under βcontaminationsβ.
A two-parametric family of modified sequential probability ratio tests
is proposed and analyzed to get the robust test by the minimax risk criterion.
Numerical experiments illustrate the theoretical results
Robustness Evaluation in Sequential Testing of Composite Hypotheses
The problem of sequential testing of composite hypotheses is considered.
Asymptotic expansions are constructed for the conditional error
probabilities and expected sample sizes under βcontaminationβ of the probability
distribution of observations. To obtain these results a new approach
based on approximation of the generalized likelihood ratio statistic by a specially
constructed Markov chain is proposed. The approach is illustrated numerically
Robust Sequential Testing of Hypotheses on Discrete Probability Distributions
The paper is devoted to analysis of approximations of the models
in sequential hypotheses testing and to construction of new robust sequential
test under the distortions presented by mixtures of probability distributions.
The previous results of the authors are extended to the case of arbitrary discrete
probability distributions. The theory is illustrated by computer modelling
On Robustifying of the Sequential Probability Ratio Test for a Discrete Model under βContaminationsβ
The problem of robustifying of the sequential probability ratio test
is considered for a discrete hypothetical model. Exact values for error probabilities
and for conditional expected sample sizes are obtained. Asymptotic
robustness analysis for these characteristics is performed under βcontaminationsβ.
A two-parametric family of modified sequential probability ratio tests
is proposed and analyzed to get the robust test by the minimax risk criterion.
Numerical experiments illustrate the theoretical results
Robustness Evaluation in Sequential Testing of Composite Hypotheses
The problem of sequential testing of composite hypotheses is considered.
Asymptotic expansions are constructed for the conditional error
probabilities and expected sample sizes under βcontaminationβ of the probability
distribution of observations. To obtain these results a new approach
based on approximation of the generalized likelihood ratio statistic by a specially
constructed Markov chain is proposed. The approach is illustrated numerically
Minimax Robustness of Bayesian Forecasting under Functional Distortions of Probability Densities
The problems of robustness in Bayesian forecasting are considered
under distortions of the hypothetical probability densities. The expressions
for the guaranteed upper risk functional are obtained and the robust prediction
statistics under certain types of distortions are constructed
An Approach to Robustness Evaluation for Sequential Testing under Functional Distortions in L1-metric
The problem of sensitivity analysis for the sequential probability ratio test under func- tional distortions of the observation probability distribution is considered. For the situa- tion where distorted densities of the log likelihood ratio statistic belong to ?-neighborhoods of hypothetical centers in the L1-metric the least favorable distributions that maximize the conditional error probabilities are constructed. The instability coefficient is obtained to enable robustness evaluation for the sequential probability ratio test and its modification β trimmed sequential probability ratio test
Robust Sequential Testing of Hypotheses on Discrete Probability Distributions
The paper is devoted to analysis of approximations of the models
in sequential hypotheses testing and to construction of new robust sequential
test under the distortions presented by mixtures of probability distributions.
The previous results of the authors are extended to the case of arbitrary discrete
probability distributions. The theory is illustrated by computer modelling
Nanodiamonds in Biotechnology: Application for Purification of Proteins and Test-Systems of Indication
ΠΠ±ΡΡΠΆΠ΄Π°ΡΡΡΡ ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ Π½Π°Π½ΠΎΠ°Π»ΠΌΠ°Π·ΠΎΠ² Π² Π±ΠΈΠΎΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΈ. ΠΠ° ΠΏΡΠΈΠΌΠ΅ΡΠ΅ ΠΎΡΠΈΡΡΠΊΠΈ
ΡΠ΅ΠΊΠΎΠΌΠ±ΠΈΠ½Π°Π½ΡΠ½ΠΎΠΉ Π±Π°ΠΊΡΠ΅ΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ Π»ΡΡΠΈΡΠ΅ΡΠ°Π·Ρ ΠΈΠ· ΡΠΊΡΡΡΠ°ΠΊΡΠΎΠ² ΠΊΠ»Π΅ΡΠΎΠΊ-ΠΏΡΠΎΠ΄ΡΡΠ΅Π½ΡΠΎΠ² E. coli
ΠΏΠΎΠΊΠ°Π·Π°Π½Π° Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ Π²ΡΠ΄Π΅Π»Π΅Π½ΠΈΡ Π±Π΅Π»ΠΊΠΎΠ² ΠΈΠ· ΡΠ»ΠΎΠΆΠ½ΡΡ
Π±Π΅Π»ΠΊΠΎΠ²ΡΡ
ΡΠΌΠ΅ΡΠ΅ΠΉ Ρ
ΠΏΠΎΠΌΠΎΡΡΡ Π½Π°Π½ΠΎΠ°Π»ΠΌΠ°Π·ΠΎΠ²: ΠΏΡΠΎΡΠ΅ΡΡ ΠΏΡΠΎΠ²ΠΎΠ΄ΠΈΡΡΡ ΠΏΡΠΈ ΠΌΠΈΠ½ΠΈΠΌΡΠΌΠ΅ ΠΎΠ±ΠΎΡΡΠ΄ΠΎΠ²Π°Π½ΠΈΡ ΠΈ Π·Π°ΡΡΠ°Ρ Π²ΡΠ΅ΠΌΠ΅Π½ΠΈ;
ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ Π·Π° ΠΎΠ΄ΠΈΠ½ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΉ ΡΠΈΠΊΠ» ΠΏΠΎΠ»ΡΡΠ°ΡΡ ΡΠ΅Π»Π΅Π²ΠΎΠΉ ΠΏΡΠΎΠ΄ΡΠΊΡ Π² ΠΏΡΠ΅ΠΏΠ°ΡΠ°ΡΠΈΠ²Π½ΡΡ
ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²Π°Ρ
, Π²ΡΡΠΎΠΊΠΎΠ³ΠΎ ΠΊΠ°ΡΠ΅ΡΡΠ²Π° (ΠΏΠΎ Π΄Π°Π½Π½ΡΠΌ SDS-ΡΠ»Π΅ΠΊΡΡΠΎΡΠΎΡΠ΅Π·Π°) ΠΈ Π²ΡΡ
ΠΎΠ΄ΠΎΠΌ Π΄ΠΎ 40-45 %.
ΠΠ΅ΠΌΠΎΠ½ΡΡΡΠΈΡΡΠ΅ΡΡΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΡ Π½Π°Π½ΠΎΠ°Π»ΠΌΠ°Π·ΠΎΠ² Π² ΡΠΎΠ·Π΄Π°Π½ΠΈΠΈ ΡΠΈΡΡΠ΅ΠΌ ΠΈΠ½Π΄ΠΈΠΊΠ°ΡΠΈΠΈ Π½Π°
ΠΏΡΠΈΠΌΠ΅ΡΠ΅ ΠΊΠΎΠ½ΡΡΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ Π±ΠΈΠΎΠ»ΡΠΌΠΈΠ½Π΅ΡΡΠ΅Π½ΡΠ½ΠΎΠΉ ΡΠ΅ΡΡ-ΡΠΈΡΡΠ΅ΠΌΡ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ° Π½Π°Π½ΠΎΠ°Π»ΠΌΠ°Π·-
Π»ΡΡΠΈΡΠ΅ΡΠ°Π·Π° ΠΈ ΠΈΠ½Π΅ΡΡΠ½ΠΎΠΉ ΠΏΠΎΠ»ΠΈΠΌΠ΅ΡΠ½ΠΎΠΉ ΠΌΠ°ΡΡΠΈΡΡ.This paper discusses the perspectives of applications of the detonation nanodiamonds in biotechnology.
An effective separation of proteins from complex protein mixtures by using of nanodiamonds is shown
on the example of purification of recombinant luciferase from the extracts of E. coli bacterial cells:
the process requires minimum equipment and time; one technological cycle yields 40-45 % of desired product with high-quality (according to the SDS-PAGE). The application of nanodiamonds for design
of indicating systems is demonstrated on the example of a biosensor system based on the nanodiamondluciferase
complex and inert polymeric matrix