A01=Dmitri Koroliouk
ability
approximation
Author_Dmitri Koroliouk
Category=PBT
dmd
dmd characteristics
dmd model
dmp
dmps
dynamics
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
equilibrium state
macromolecules
model
model interpretation
modeling
numerical analysis
proportion
sa
ses
statistical experiments
Product details
- ISBN 9781786305985
- Weight: 454g
- Dimensions: 160 x 234mm
- Publication Date: 13 Mar 2020
- Publisher: ISTE Ltd and John Wiley & Sons Inc
- Publication City/Country: GB
- Product Form: Hardback
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This book is devoted to the system analysis of statistical experiments, determined by the averaged sums of sampling random variables. The dynamics of statistical experiments are given by difference stochastic equations with a speci?ed regression function of increments linear or nonlinear. The statistical experiments are studied by the sample volume increasing (N ??), as well as in discrete-continuous time by the number of stages increasing (k ??) for different conditions imposed on the regression function of increments. The proofs of limit theorems employ modern methods for the operator and martingale characterization of Markov processes, including singular perturbation methods. Furthermore, they justify the representation of a stationary Gaussian statistical experiment with the Markov property, as a stochastic difference equation solution, applying the theorem of normal correlation. The statistical hypotheses verification problem is formulated in the classification of evolutionary processes, which determine the dynamics of the predictable component. The method of stochastic approximation is used for classifying statistical experiments.
Dmitri Koroliouk is a Doctor of Sciences (Hab.), leading researcher at the Institute of Telecommunications and Global Information Space of the National Academy of Sciences of Ukraine, and Professor at the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute". He is the author of 80 scientific publications and also holds 10 European patents for industrial invention.
