4 papers · 1 filter
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…
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…
Appell Polynomials in Shifted Asymptotic Expansions: the Mills ratio, Hermite polynomials, and Stieltjes bounds
Tomislav Burić, Neven Elezović, Lenka Mihoković
A theorem of Burić, Elezović and Vuk\v sić states that translating the argument in an asymptotic expansion, , to , replaces the constant coef…
Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution
Neven Elezović
We derive complete asymptotic expansions for the binomial mass at a bounded lattice displacement and for the mean absolute deviation , , with . De M…