18 citations · 39 across the 15 of their papers we have counts for
10 papers · 1 filter
On testing pseudorandom generators via statistical tests based on the arcsine law
Paweł Lorek, Grzegorz Łoś, Karol Gotfryd +1
Testing the quality of pseudorandom number generators is an important issue. Security requirements become more and more demanding, weaknesses in this matter are simply not acceptab…
Antiduality and Möbius monotonicity: Generalized Coupon Collector Problem
Paweł Lorek
For a given absorbing Markov chain on a finite state space, a chain is a sharp antidual of if the fastest strong stationary time of is equal, in distribution, t…
Absorption time and absorption probabilities for a family of multidimensional gambler models
Paweł Lorek, Piotr Markowski
For a family of multidimensional gambler models we provide formulas for the winning probabilities (in terms of parameters of the system) and for the distribution of game duration (…
Conditional gambler's ruin problem with arbitrary winning and losing probabilities with applications
Paweł Lorek, Piotr Markowski
In this paper we provide formulas for the expectation of a conditional game duration in a finite state-space one-dimensional gambler's ruin problem with arbitrary winning an…
Strong stationary times and its use in cryptography
Paweł Lorek, Filip Zagórski, Michał Kulis
This paper presents applicability of Strong Stationary Times (SST) techniques in the area of cryptography. The applicability is in three areas: *) Propositions of a new class of cr…
Generalized Gambler's Ruin Problem: explicit formulas via Siegumd duality
Paweł Lorek
We give explicit formulas for ruin probabilities in a multidimensional Generalized Gambler's ruin problem. The generalization is best interpreted as a game of one player against $d…