5 papers
A gap theorem for non-trivial maximal intersecting families and an exact weighted asymptotic
El'mira Yu. Kalimulina
Let be the disjointness graph on the nonempty subsets of , whose independent sets are exactly the intersecting families on . We study the weighted independent-set p…
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…
On Lorden's Inequality and Renewal-Type Processes with Dependent Inter-renewal Times
El'mira Yu. Kalimulina, Galina A. Zverkina
We consider renewal-type processes whose positive inter-renewal times may be dependent, non-identically distributed, and may have mixed distributions. We introduce a generalised in…
Uniform Lorden-type bounds for overshoot moments for standard exponential families: small drift and an exponential correction
El'mira Yu. Kalimulina, Mark Ya. Kelbert
We study the overshoot \(R_b=S_{Ï(b)}-b\) of a random walk with independent identically distributed increments from a standardised one-parameter exponential family, with primary e…
On the occasion of Dr. Ivan Dmitrievich Remizov's 40th birthday
Ksenia Dragunova, Elmira Kalimulina, Rustem Kalmetev +8
This article celebrates the 40th anniversary of Dr. Ivan Dmitrievich Remizov, a mathematician who made a number of important contributions to the theory of one-parameter operator s…