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math.PR2026
The classical discrete laws near the mode: complete local expansions for the negative binomial and hypergeometric distributions
Neven Elezović
We derive complete local asymptotic expansions near the mode for the negative binomial and hypergeometric laws, complementing the binomial expansion obtained in the companion paper…
math.PR2026
Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion
Neven Elezović
We study binomial probabilities at a fixed integer distance from the upper mode, in the regime where the fractional part of the mean remains visible. The complete asymptotic expans…