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Z. Michna

17 papers hereh-index 15626 citations57 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author4
  • first author5
  • middle author1
  • last author7

Across the 17 of 17 papers where every author was matched, so the position is known.

fields
  • math.PR15
  • stat.AP2

identity via Semantic Scholar / OpenAlex

activity
20092026
most citedSojourn times of Gaussian processes with trend

21 citations · 43 across the 14 of their papers we have counts for

collaborators
Showing 2018Show all

3 papers · 1 filter

math.PR2018★ 3 cited

Simultaneous Ruin Probability for Two-Dimensional Brownian and Lévy Risk Models

Krzysztof Dȩbicki, Enkelejd Hashorva, Zbigniew Michna

The ruin probability in the classical Brownian risk model can be explicitly calculated for both finite and infinite-time horizon. This is not the case for the simultaneous ruin pro…

math.PR2018★ 21 cited

Sojourn times of Gaussian processes with trend

Krzysztof Debicki, Peng Liu, Zbigniew Michna

We derive exact tail asymptotics of sojourn time above the level u≥0 P(v(u)∫0T​I(X(t)−ct>u)dt>x),x≥0 as u→∞, wher…

math.PR2018★ 5 cited

Ruin probabilities for two collaborating insurance companies

Zbigniew Michna

In this note we find a formula for the supremum distribution of spectrally positive or negative Lévy processes with a broken linear drift. This gives formulas for ruin probabilitie…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.