English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A probability model for a combined gamma generator with nonuniform noise in a resynchronization mode is studied. We consider the problem of testing hypotheses about the distribution of a random binary vector X(0) (the state of a combined gamma generator) by using a sampled binary sequence whose signs depend on X(0) in a specified way and on certain other random parameters. We obtain a nonasymptotic upper bound for the mean error probability of a Bayesian criterion for testing the hypotheses mentioned above. 1. The setting of the problem and main results Let n, L, and t be natural numbers, ∆ be a nonempty subset of the set {0, 1, . . . , L− 1}, a = (a1, . . . , an) ∈ ∆ be a fixed vector, f : Vn def = {0, 1} → {0, 1} be a Boolean function such that (1) |{x ∈ Vn : f(x) = 1}| = 2n−1, and let g, . . . , g be an arbitrary sequence of n-dimensional Boolean vectors. Further, let X = ( X (0) j (i) : j ∈ {1, . . . , n}, i ∈ {0, . . . , L− 1 } ), C = ( C (l) j (i) : j ∈ {1, . . . , n}, i ∈ {0, . . . , L− 1} ) , and let δ = ( δ (l) 1 , . . . , δ (l) n ) , l ∈ {1, . . . , t}, be jointly independent random vectors such that (a) the vector X has the uniform probability distribution in the set VnL, (b) the vector C has the uniform probability distribution in the set Ug(l) , l ∈ {1, . . . , t}, where (2) Us def = {(yj(i) : j ∈ {1, . . . , n}, i ∈ {0, . . . , L− 1}) ∈ VnL | (y1(a1), . . . , yn(an)) = s} for all s ∈ Vn, 2000 Mathematics Subject Classification. Primary 94A60; Secondary 94B70.

theory of probability and mathematical statistics

An estimate for the mean error probability of a Bayesian criterion for testing hypotheses in the problem of cryptanalysis of a combined gamma generator with nonuniform noise