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Table 1 Analytic expressions of ruin probability

From: Differential equations for ruin probability in a special risk model with FGM copula for the claim size and the inter-claim time

θ

Expressions for the ruin probability ψ ( u )

−1

0.5201exp(−0.5214u)−0.02806exp(−2.2149u)

−0.5

0.4665exp(−0.5661u)−0.01537exp(−2.0653u)

−0.25

0.4372exp(−0.5910u)−0.008086exp(−2.0335u)

0

0.3820exp(−0.6180u)

0.25

0.3557exp(−0.6474u)+0.008384exp(−1.9646u)

0.5

0.3270exp(−0.6794u)+0.01841exp(−1.9271u)

1

0.2600exp(−0.7534u)+0.04565exp(−1.8434u)