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49

R⅛nt) = exp{-⅛⅛nt)}

= ew-V________

n i⅜∑U"ΛH<>)

li<1∕≈.,ι⅛"-ltfe)

-V_____-_________}

⅛⅛∑Z=ι Qlm-1∖¾)e≈p(w'∕3^) j

∑≈i≤^MΓ^1∖¾)

= exp{-V-------ʒ-------,—,-, -,∖ }             (3.20)

Note that the proposed Sθm∖t) and Rθm∖t) are also copula-based, which are dif-
ferent from Sθ0∖t) and /f,ɑŋ(/.).

Similarly as Step 1, we then update corresponding F^mβ, G^l∙), P^mβ, Qffl∙β
n>(∙) and £<”>(■).

Step 3,

Again, maximize rββ.βc') and get the updated ^(m+1) and βiβn+lV

Step 4,

Iterates as below:

• Keep updating dfm+1) and β,βn+^ using the Newton-Raphson Method until they

converge.

• Following values are used to get new estimates of β and βc∙.

β(-m+1β βcm+1 Pi'n∙'), Qi"i∙), D<flβ and Ê-m\-). That is, after getting new



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