Skip to content
RDP 2015-10: The Life of Australian Banknotes
Equation
L
(
t
)
=
p
(
1
−
e
−
(
e
x
′
β
/
k
t
λ
)
)
=
1
2
1
−
e
−
(
e
x
′
β
/
k
t
λ
)
k
=
1
2
p
e
−
(
e
x
′
β
/
k
t
λ
)
k
=
2
p
−
1
2
p
−
(
e
x
′
β
/
k
t
λ
)
k
=
ln
(
2
p
−
1
2
p
)
e
x
′
β
/
k
t
λ
=
ln
(
2
p
2
p
−
1
)
1
k
t
=
λ
ln
(
2
p
2
p
−
1
)
1
k
/
e
x
′
β
/
k
MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaWGmb WaaeWaaeaacaWG0baacaGLOaGaayzkaaGaeyypa0JaamiCamaabmaa baGaaGymaiabgkHiTiaadwgadaahaaWcbeqaaiabgkHiTmaabmaaba GaamyzamaaCaaameqabaGabmiEayaafaGaeqOSdiMaai4laiaadUga aaWcdaWcaaqaaiaadshaaeaacqaH7oaBaaaacaGLOaGaayzkaaaaaa GccaGLOaGaayzkaaGaeyypa0ZaaSaaaeaacaaIXaaabaGaaGOmaaaa aeaacaaIXaGaeyOeI0IaamyzamaaCaaaleqabaGaeyOeI0YaaeWaae aacaWGLbWaaWbaaWqabeaaceWG4bGbauaacqaHYoGycaGGVaGaam4A aaaalmaalaaabaGaamiDaaqaaiabeU7aSbaaaiaawIcacaGLPaaada ahaaadbeqaaiaadUgaaaaaaOGaeyypa0ZaaSaaaeaacaaIXaaabaGa aGOmaiaadchaaaaabaGaamyzamaaCaaaleqabaGaeyOeI0YaaeWaae aacaWGLbWaaWbaaWqabeaaceWG4bGbauaacqaHYoGycaGGVaGaam4A aaaalmaalaaabaGaamiDaaqaaiabeU7aSbaaaiaawIcacaGLPaaada ahaaadbeqaaiaadUgaaaaaaOGaeyypa0ZaaSaaaeaacaaIYaGaamiC aiabgkHiTiaaigdaaeaacaaIYaGaamiCaaaaaeaacqGHsisldaqada qaaiaadwgadaahaaWcbeqaaiqadIhagaqbaiabek7aIjaac+cacaWG RbaaaOWaaSaaaeaacaWG0baabaGaeq4UdWgaaaGaayjkaiaawMcaam aaCaaaleqabaGaam4Aaaaakiabg2da9iGacYgacaGGUbWaaeWaaeaa daWcaaqaaiaaikdacaWGWbGaeyOeI0IaaGymaaqaaiaaikdacaWGWb aaaaGaayjkaiaawMcaaaqaaiaadwgadaahaaWcbeqaaiqadIhagaqb aiabek7aIjaac+cacaWGRbaaaOWaaSaaaeaacaWG0baabaGaeq4UdW gaaiabg2da9iGacYgacaGGUbWaaeWaaeaadaWcaaqaaiaaikdacaWG WbaabaGaaGOmaiaadchacqGHsislcaaIXaaaaaGaayjkaiaawMcaam aaCaaaleqabaWaaSaaaeaacaaIXaaabaGaam4AaaaaaaaakeaacaWG 0bGaeyypa0Jaeq4UdWMaciiBaiaac6gadaWcgaqaamaabmaabaWaaS aaaeaacaaIYaGaamiCaaqaaiaaikdacaWGWbGaeyOeI0IaaGymaaaa aiaawIcacaGLPaaadaahaaWcbeqaamaalaaabaGaaGymaaqaaiaadU gaaaaaaaGcbaGaamyzamaaCaaaleqabaGabmiEayaafaGaeqOSdiMa ai4laiaadUgaaaaaaaaaaa@AE84@