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math.PR2026
The limit law of the maximum of discrete partial-sums distribution II
Andrius Grigutis, Juozas Petkelis
The paper provides explicit formulas for the distribution of the maximum of partial sums of independent, integer‑valued random variables that repeat periodically, using linear recu…
math.PR2026
Several expressions of the net single premiums under the constant force of mortality
Andrius Grigutis, Laurynas LukoÅ¡eviÄius, Mindaugas VenckeviÄius
In this article, we present several formulas that make it easier to compute the net single premiums when the mortality force over the fractional ages is assumed to be constant (C).…
math.PR2025
Several facts about Theodor Wittstein, Gaetano Balducci, and some expressions of the net single premiums under their mortality assumption
Andrius Grigutis, EglÄ MatuleviÄiÅ«tÄ, Mindaugas VenckeviÄius
The mathematical essence in life insurance spins around the search of the nu\-me\-ri\-cal characteristics of the random variables , , , etc., where …