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math.ST2026
Weighted Chernoff information and optimal loss exponent in context-sensitive hypothesis testing
Mark Kelbert, El'mira Yu. Kalimulina
We study binary hypothesis testing for i.i.d. observations under a multiplicative context weight. For the optimal weighted total loss, defined as the sum of weighted type-I and typ…
math.ST2024
Context-sensitive hypothesis-testing and exponential families
Mark Kelbert, Yuri Suhov
We propose a number of concepts and properties related to `weighted' statistical inference where the observed data are classified in accordance with a `value' of a sample string. T…