Package: TempStable 0.2.2.9000

TempStable: A Collection of Methods to Estimate Parameters of Different Tempered Stable Distributions

A collection of methods to estimate parameters of different tempered stable distributions (TSD). Currently, there are seven different tempered stable distributions to choose from: Tempered stable subordinator distribution, classical TSD, generalized classical TSD, normal TSD, modified TSD, rapid decreasing TSD, and Kim-Rachev TSD. The package also provides functions to compute density and probability functions and tools to run Monte Carlo simulations. This package has already been used for the estimation of tempered stable distributions (Massing (2023) <arxiv:2303.07060>). The following references form the theoretical background for various functions in this package. References for each function are explicitly listed in its documentation: Bianchi et al. (2010) <doi:10.1007/978-88-470-1481-7_4> Bianchi et al. (2011) <doi:10.1137/S0040585X97984632> Carrasco (2017) <doi:10.1017/S0266466616000025> Feuerverger (1981) <doi:10.1111/j.2517-6161.1981.tb01143.x> Hansen et al. (1996) <doi:10.1080/07350015.1996.10524656> Hansen (1982) <doi:10.2307/1912775> Hofert (2011) <doi:10.1145/2043635.2043638> Kawai & Masuda (2011) <doi:10.1016/j.cam.2010.12.014> Kim et al. (2008) <doi:10.1016/j.jbankfin.2007.11.004> Kim et al. (2009) <doi:10.1007/978-3-7908-2050-8_5> Kim et al. (2010) <doi:10.1016/j.jbankfin.2010.01.015> Kuechler & Tappe (2013) <doi:10.1016/j.spa.2013.06.012> Rachev et al. (2011) <doi:10.1002/9781118268070>.

Authors:Till Massing [cre, aut], Cedric Maximilian Juessen [aut]

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NEWS

# Install 'TempStable' in R:
install.packages('TempStable', repos = c('https://tmoek.r-universe.dev', 'https://cloud.r-project.org'))

Peer review:

Bug tracker:https://github.com/tmoek/tempstable/issues

On CRAN:

33 exports 1 stars 1.02 score 63 dependencies 2 scripts 222 downloads

Last updated 11 months agofrom:10a5f292ad. Checks:OK: 7. Indexed: yes.

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Doc / VignettesOKAug 20 2024
R-4.5-winOKAug 20 2024
R-4.5-linuxOKAug 20 2024
R-4.4-winOKAug 20 2024
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Exports:charCTScharGTScharKRTScharMTScharNTScharRDTScharTSSdCTSdGTSdKRTSdMTSdNTSdRDTSdTSSparallelizeMCsimulationpCTSpGTSpMTSpNTSpRDTSpTSSqCTSqNTSqTSSrCTSrGTSrKRTSrMTSrNTSrRDTSrTSSTemperedEstimTemperedEstim_Simulation

Dependencies:ADGofTestbriocallrclicodetoolscolorspacecontfraccopulacrayondescdeSolvediffobjdigestdoParallelellipticevaluatefansifBasicsforeachfsgluegslgsshypergeoiteratorsjsonlitelatticelifecyclemagrittrMASSMatrixmomentsmvtnormnumDerivpcaPPpillarpkgbuildpkgconfigpkgloadpraiseprocessxpspsplineR6rbibutilsRdpackrematch2rlangrootSolverprojrootspatialstabledistStableEstimtestthattibbletimeDatetimeSeriesutf8vctrsVGAMwaldowithrxtable

Readme and manuals

Help Manual

Help pageTopics
Characteristic function of the classical tempered stable (CTS) distributioncharCTS
Characteristic function of the generalized classical tempered stable (GTS) distribution.charGTS
Characteristic function of the Kim-Rachev tempered stable distributioncharKRTS
Characteristic function of the modified tempered stable distributioncharMTS
Characteristic function of the normal tempered stable (NTS) distributioncharNTS
Characteristic function of the rapidly decreasing tempered stable (RDTS) distributioncharRDTS
Characteristic function of the tempered stable subordinatorcharTSS
Density function of the classical tempered stable (CTS) distributiondCTS
Density function of generalized classical tempered stable distributiondGTS
Density Function of the Kim-Rachev tempered stable distributiondKRTS
Density function of the modified tempered stable (MTS) distributiondMTS
Density function of the normal tempered stable (NTS) distributiondNTS
Density function of the rapidly decreasing tempered stable (CTS) distributiondRDTS
Density function of the tempered stable subordinator (TSS) distributiondTSS
Function to parallelize the Monte Carlo SimulationparallelizeMCsimulation
Cumulative probability function of the classical tempered stable (CTS) distributionpCTS
Cumulative probability function of the generalized classical tempered stable (GTS) distributionpGTS
Cumulative probability distribution function of the Kim-Rachev tempered stable (KRTS) distributionpKRTS
Cumulative probability function of the modified tempered stable (MTS) distributionpMTS
Cumulative probability function of the normal tempered stable (NTS) distributionpNTS
Cumulative probability function of the rapidly decreasing tempered stable (RDTS) distributionpRDTS
Cumulative probability distribution function of the tempered stable subordinator distributionpTSS
Quantile function of the classical tempered stable (CTS)qCTS
Quantile function of the normal tempered stable (NTS)qNTS
Quantile function of the tempered stable subordinator distributionqTSS
Function to generate random variates of CTS distribution.rCTS
Function to generate random variates of GTS distribution.rGTS
Function to generate random variates of KRTS distribution.rKRTS
Function to generate random variates of MTS distributionrMTS
Function to generate random variates of NTS distribution.rNTS
Function to generate random variates of RDTS distribution.rRDTS
Function to generate random variates of the TSS distribution.rTSS
Estimation functionTemperedEstim
Monte Carlo SimulationTemperedEstim_Simulation
TempStable: A collection of methods to estimate parameters of different tempered stable distributions.TempStable-package TempStable