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ομ/ŶĚƐƟů&ũĞƌŶƐLJŶĞƚƟů,D/ĞůůĞƌ^ZdŝŶƉƵƚ
ĞƚĞƌŵĞŐĞƚǀŝŐƟŐƚĂƚĞƐƆƌŐĞƌĨŽƌĂƚĞƌĞƐłĞƌŶƐLJŶĞƌŝŶĚƐƟůůĞƚƟůĂƚǀŝƐĞƐŝŐŶĂůĞƚ
ĨƌĂďŽŬƐĞŶ,ǀŝƐĨŽƌŬĞƌƚŝŶƉƵƚŬŝůĚĞĞƌǀĂůŐƚǀŝůĚĞƌŝŶƚĞƚŬŽŵŵĞĨƌĞŵƉĊĞƌĞƐłĞƌŶƐLJŶ
,ǀŽƌĚĂŶĚĞƩĞŐƆƌĞƐĂĬčŶŐĞƌĂĨŚǀŝůŬĞƚłĞƌŶƐLJŶĚĞƌƟůƐůƵƩĞƐƟůŽŐŽŵĚĞƌƟůƐůƵƩĞƐ
ǀŝĂ,D/ĞůůĞƌ^ZdsŝŚĞŶǀŝƐĞƌƟůďƌƵŐĞƌǀĞũůĞĚŶŝŶŐĞŶƟůĞƌĞƐłĞƌŶƐLJŶĨŽƌĂƚǀčůŐĞ
ĚĞƚŬŽƌƌĞŬƚĞŝŶƉƵƚƟůďŽŬƐĞŶ
λĞŶLJƚłĞƌŶďĞƚũĞŶŝŶŐĞŶƟůĞƌĞƐłĞƌŶƐLJŶƟůĂƚǀčůŐĞŬŽƌƌĞŬƚŝŶƉƵƚ;,D/^ZdͿ
sŝŚĞŶǀŝƐĞƌĂƩĞƌƟůďƌƵŐĞƌǀĞũůĞĚŶŝŶŐĞŶƟůĞƌĞƐłĞƌŶƐLJŶĚĂĚĞƌĞƌŵĂŶŐĞĨŽƌƐŬĞůůŝŐĞ
ŵŽĚĞůůĞƌŽŐŵĊĚĞƌĂƚǀčůŐĞŝŶƉƵƚƉĊƐŽŵĚĞŶŶĞŐƵŝĚĞŝŬŬĞŚĂƌŵƵůŝŐŚĞĚĨŽƌĂƚ
ĚčŬŬĞĨLJůĚĞƐƚŐƆƌĞŶĚĞ/ůĂŶŐƚĚĞŇĞƐƚĞƟůĨčůĚĞƐŬĂůŵĂŶĚŽŐĮŶĚĞĞŶŬŶĂƉƉĊ
łĞƌŶďĞƚũĞŶŝŶŐĞŶƐŽŵĞŶƚĞŶŚĞĚĚĞƌ/EWhd^KhZĞůůĞƌs;WĊĚĞŇĞƐƚĞ
ΘKłĞƌŶƐLJŶƐŽŵŝŬŬĞŚĂƌ,D/ƐŬĂůŵĂŶƚƌLJŬŬĞƉĊsdWĨŽƌĂƚƐŬŝŌĞƟů^ZdͿ
μsĞĚƚƌLJŬƉĊĚĞŶŬŽƌƌĞŬƚĞŬŶĂƉǀŝůĚĞƌŝĚĞŇĞƐƚĞƟůĨčůĚĞŬŽŵŵĞĞŶůŝƐƚĞĨƌĞŵƉĊ
ƐŬčƌŵĞŶŵĞĚĚĞĨŽƌƐŬĞůůŝŐĞŝŶƉƵƚŵƵůŝŐŚĞĚĞƌ&ĞŬƐ^Zdλ^Zdμ,D/λ
,D/μŽƐǀ
νsčƌŽƉŵčƌŬƐŽŵƉĊŚǀŝůŬĞƚŝŶƉƵƚďŽŬƐĞŶĞƌƟůƐůƵƩĞƚƟůďĂŐƉĊłĞƌŶƐLJŶĞƚŽŐǀčůŐ
ĚĞƚŝŶƉƵƚƐŽŵďŽŬƐĞŶĞƌƟůƐůƵƩĞƚ&ĞŬƐ,D/ĞůůĞƌ^Zd
ξ,ǀŝƐŬŽƌƌĞŬƚŝŶƉƵƚĞƌǀĂůŐƚŽŐďŽŬƐĞŶĞƌƚčŶĚƚǀŝůłĞƌŶƐLJŶĞƚŶƵǀŝƐĞŝŶƐƚĂůůĂƟŽŶƐ
ŐƵŝĚĞŶ
ονdŝůƐůƵƚŶŝŶŐƟůĨŽƌƐƚčƌŬĞƌ