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Package

exdex exdex-package
exdex: Estimation of the Extremal Index

Inference for the extremal index

dgaps()
Maximum likelihood estimation using left-censored inter-exceedances times
dgaps_stat()
Sufficient statistics for the left-censored inter-exceedances time model
dgaps_imt()
Information matrix test under the \(D\)-gaps model
dgaps_imt_stat()
Statistics for the \(D\)-gaps information matrix test
kgaps()
Maximum likelihood estimation for the \(K\)-gaps model
kgaps_stat()
Sufficient statistics for the \(K\)-gaps model
kgaps_imt()
Information matrix test under the \(K\)-gaps model
kgaps_imt_stat()
Statistics for the information matrix test
iwls()
Iterated weighted least squares estimation of the extremal index
spm()
Semiparametric maxima estimator of the extremal index

Choosing tuning parameters

choose_b()
Block length diagnostic for the semiparametric maxima estimator
choose_ud()
Threshold \(u\) and runs parameter \(D\) diagnostic for the \(D\)-gaps estimator
choose_uk()
Threshold \(u\) and runs parameter \(K\) diagnostic for the \(K\)-gaps estimator

Calculating block maxima

all_max_rcpp()
Sliding and disjoint block maxima

Example data

cheeseboro
Cheeseboro hourly maximum wind gusts
newlyn
Newlyn sea surges
sp500
Daily log returns of the Standard and Poor (S&P) 500 index
uccle
Uccle maximum daily temperatures
uccle720
20th century Uccle maximum daily temperatures in July - data frame
uccle720m
20th century Uccle maximum daily temperatures in July - matrix

Data manipulation

split_by_NAs()
Divides data into parts that contain no missing values

Generics

coef(<dgaps>) vcov(<dgaps>) nobs(<dgaps>) logLik(<dgaps>) print(<dgaps>) summary(<dgaps>) print(<summary.dgaps>)
Methods for objects of class "dgaps"
coef(<iwls>) nobs(<iwls>) print(<iwls>)
Methods for objects of class "iwls"
coef(<kgaps>) vcov(<kgaps>) nobs(<kgaps>) logLik(<kgaps>) print(<kgaps>) summary(<kgaps>) print(<summary.kgaps>)
Methods for objects of class "kgaps"
coef(<spm>) vcov(<spm>) nobs(<spm>) print(<spm>) summary(<spm>) print(<summary.spm>)
Methods for objects of class "spm"
confint(<dgaps>) plot(<confint_dgaps>) print(<confint_dgaps>)
Confidence intervals for the extremal index \(\theta\) for "dgaps" objects
confint(<kgaps>) plot(<confint_kgaps>) print(<confint_kgaps>)
Confidence intervals for the extremal index \(\theta\) for "kgaps" objects
confint(<spm>) plot(<confint_spm>) print(<confint_spm>)
Confidence intervals for the extremal index \(\theta\) for "spm" objects
plot(<choose_b>)
Plot block length diagnostic for the semiparametric maxima estimator
plot(<choose_ud>)
Plot threshold \(u\) and runs parameter \(D\) diagnostic for the \(D\)-gaps estimator
plot(<choose_uk>)
Plot threshold \(u\) and runs parameter \(K\) diagnostic for the \(K\)-gaps estimator