From the 1 of 5 linked papers with an AI index.
5 papers
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…
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).…
Note on the positivity of the real part of the log-derivative of the Riemann -function near the critical line
Andrius Grigutis, Lukas TurÄinskas
In this work, we investigate the positivity of the real part of the log-derivative of the Riemann -function in the region , where is sufficiently…
Picturesque convolution-like recurrences and partial sums' generation
Ignas GasparaviÄius, Andrius Grigutis, Juozas Petkelis
Let be the known sequence of numbers such that . In this work, we develop methods to find another sequence ${\pmb a}=\{a_0,\,a_1,\,\ldot…
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 …