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𝜆 𝜎 𝜉

𝑋𝑘𝑋𝑘

𝑌𝑘𝑌𝑘

𝑍𝑘𝑍𝑘

𝐶 =

𝑘=1

𝐾

𝑍𝑘

𝑋𝑘 ~ DGPD(𝑀𝜎𝑀 𝜉𝑀)

𝜎𝑀 𝜉𝑀

𝜆𝑀

𝜆𝑀 = mean 𝐾𝑀

𝐾 ~ Poisson(𝜆𝑀) ~ BetaBinom(𝑋𝑘 𝑞 𝑑(𝑋𝑘))

𝑑 𝑋𝑘 = log 𝑋𝑘 𝜃

𝜃

𝑌𝑘 = ቊ𝑌 ; 𝑌 ≥ 𝑀0 ; 𝑌 < 𝑀

𝑞

𝐶 =

𝑘=1

𝐾

𝑍𝑘

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