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Table 3 Parameter dependence of the \(\mathrm{E} [ \tau ]\), \(\mathrm{Std} [ \tau ]\), and H The notations “+” and “−” mean increase and decrease of these indices

From: Mathematical and numerical analyses of a stochastic impulse control model with imperfect interventions

Parameter

Smallest value

Largest value

E[τ]

Std[τ]

H

μ

0.2

0.8

+

σ

0.1

0.7

+

+

δ

1.5

3.0

+

r

0.003

0.007

+

+

R

0.1

5.0

+

\(k_{0}\)

0.01

0.25

+

+

+

\(k_{1}\)

0.01

0.20

+

a

0.1

0.9

+

+

b

0.5

1.0

+

+