An S4 class to represent distribution fitting.
observation
Raw data input containing loss sizes for severity analysis and number of losses for frequency analysis.
fitdata
Processed data for distribution fitting. Frequency data may be provided as occurrence dates. The class will transform them into frequency data before distribution fitting.
trend
Index object for detrending the data.
startDate
Start date of claim data used for distribution fitting. The trend Index should also start from the same date (year-month).
endDate
End date of claim data used for distribution fitting.
trail
Trial Distribution object to start fitting.
fitted
Fitted Distribution object.
reportLag
Report lag distribution to adjust frequency data.
iLag
Whether to adjust the frequency data with report lag distribution.
method
Distribution fitting method. Maximum likelihood estimation (mle), moment matching estimation(mme) and quantile matching estimation(qme) are available.
probs
A vector containing the percentiles to be matched if qme is used for fitting.
ifreq
A boolean indicating whether it is frequency data or severity data.
idate
A boolean indicating whether frequency data is provided as occurrence dates (TRUE) or number of occurrences (FALSE).
datelist
A vector containing occurrence dates. It could be a data field in a claim file.
freq
A character string indicating the frequency: "Annual" or "Monthly".
iDL
A boolean indicating whether deductible and limit is considered in distribution fitting.
limit
A vector containing the limit for each claim.
deductible
A vector containing the deductible for each claim.
p0
A number that is the probability of having a zero-amount claim after deductible.
dof
Degree of freedom.
psd
A vector containing the standard deviation of parameter estimation. It is only available for mle.
aic
Akaike information criterion.
bic
Bayesian information criterion.
chisq
Chi-Squared Test Statistic.
pchisq
p-value of Chi-Squared Test.
kstest
K-S Test Statistic. Only used for continuous distribution.
pkstest
p-value of K-S Test. Only used for continuous distribution.
soutput
Distribution fitting summary.
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