fit_trawl_intersection function

Finds the intersection of two trawl sets

fit_trawl_intersection(
  fct1 = base::c("Exp", "DExp", "supIG", "LM"),
  fct2 = base::c("Exp", "DExp", "supIG", "LM"),
  lambda11 = 0,
  lambda12 = 0,
  w1 = 0,
  delta1 = 0,
  gamma1 = 0,
  alpha1 = 0,
  H1 = 0,
  lambda21 = 0,
  lambda22 = 0,
  w2 = 0,
  delta2 = 0,
  gamma2 = 0,
  alpha2 = 0,
  H2 = 0,
  LM1,
  LM2,
  plotdiag = FALSE
)

Arguments

• fct1: specifies the type of the first trawl function
• fct2: specifies the type of the second trawl function
• lambda11, lambda12, w1: parameters of the (double) exponential trawl functions of the first process
• delta1, gamma1: parameters of the supIG trawl functions of the first process
• alpha1, H1: parameters of the long memory trawl function of the first process
• lambda21, lambda22, w2: parameters of the (double) exponential trawl functions of the second process
• delta2, gamma2: parameters of the supIG trawl functions of the second process
• alpha2, H2: parameters of the long memory trawl function of the second process
• LM1: Lebesgue measure of the first trawl
• LM2: Lebesgue measure of the second trawl
• plotdiag: binary variable specifying whether or not diagnostic plots should be provided

Returns

The Lebesgue measure of the intersection of the two trawl sets

Details

Computes $R_{12}(0)=\mbox{Leb}(A_1 \cap A_2)$ based on two trawl functions $g_1$ and $g_2$.