Meyers Flashcards
KS test statistic at 5%
D = 136/sqrt(n)
Adjustments to Mack and ODP in Meyers
Variable row parameters
AY correlation
CY trend
Changing settlement rate
Reasons for model not validating
Insurance loss environment has experienced changes not yet observable
Other models can validate
Heavy tailed p-p plot
Steep slope in corners
Light tailed p-p plot
Shallow slope in corners
Biased upwards p-p plot
Curve is bowed down
Anderson Darling results
All models fail
Requirements for LCL parameters sigma and beta(10)
sigma 1 > sigma 2 >…> sigma 10
beta(10) = 0
This allows us to interpret column parameters as % paid to date
Limits of Skew normal
delta = 1, truncated normal: mu + w*Z delta = 0, normal distribution: mu + w*E
Skew normal
Mu + (wZ)S + (wE)sqrt(1-S^2)
Why did Meyers not select skew normal
maximum skewness is 0.995
CIT model
u = a + b + T(w + d -1) T = CY trend
Why did Meyers select lognormal
Right skewness
Can simulate negative losses
More skew than skew normal
CIT, LIT standard deviation restriction
sigma 1
CSR model
u = a + b + (1 - Y)^(w-1) Y = settlement rate change (if positive, means speedup)