bootstrap.ecdb          Bootstrap data for the Elliptic DB (ECDB)
dec                     The Elliptic Distribution
discr.ecd               Discriminant of the elliptic curve y(x)
dsl                     Stable lambda distribution
dstablecnt              Stable Count distribution
dstdlap                 Standardized Laplace process and distribution
ecd                     Constructor of ecd class
ecd-class               The ecd class
ecd-package             ecd: A package for the stable lambda
                        distribution family.
ecd.adj_gamma           Discriminant-adjusted gamma
ecd.asymp_stats         Compute asymptotic statistics of an ecd object
ecd.ccdf                Complementary CDF of ecd
ecd.cdf                 CDF of ecd
ecd.cubic               Generate or solve the cubic polynomial for ecd
ecd.cusp                Cusp constructor of ecd class
ecd.cusp_a2r            Conversion between alpha and gamma for cusp
                        distribution
ecd.cusp_std_moment     The moments, characteristic function (CF), and
                        moment generating function (MGF) of standard
                        cusp distribution.
ecd.data                Read sample data
ecd.data_stats          Statistics and histogram on log returns
ecd.df2ts               Utility to standardize timeseries from
                        data.frame to xts
ecd.diff                Utility to diff a vector of numeric or mpfr to
                        get first derivative
ecd.erfq                Quartic scaled error function
ecd.estimate_const      Estimate the normalization constant for an ecd
                        object
ecd.fit_data            Sample data fit
ecd.fit_ts_conf         Timeseries fitting utility
ecd.has_quantile        Whether the ecd object has quantile data or not
ecd.imgf                Incomplete MGF of ecd
ecd.integrate           Wrapper to integrate numeric and mpfr
ecd.lag                 Utility to shift a vector of numeric or mpfr
ecd.manage_hist_tails   Manage histogram tails
ecd.max_kurtosis        Utility to calculate where the maximum kurtosis
                        is on the positive j=0 line
ecd.mp2f                Wrapper to convert mpfr to numeric
ecd.mpfr                Wrapper to convert numeric to mpfr
ecd.mpfr_qagi           Utility to integrate mpfr with infinity via
                        qagi
ecd.mpnum               Wrappers for ecd to maintain consistent type
                        between mpfr and numeric
ecd.ogf                 Option generating function of ecd
ecd.pdf                 Calculate the PDF of an ecd object
ecd.polar               Polar constructor of ecd class
ecd.rational            Utility to convert a numeric to a rational
ecd.read_csv_by_symbol
                        Read csv file of sample data
ecd.read_symbol_conf    Read conf for sample data
ecd.sd                  Standard deviation, variance, mean, skewness,
                        and kurtosis of ecd
ecd.setup_const         Integration preprocessor for an ecd object
ecd.solve_cusp_asym     Trigonometric solution for asymmetric cusp
                        distribution
ecd.stats               Compute statistics of an ecd object
ecd.toString            String representation of ecd
ecd.ts_lag_stats        Lag statistics on timeseries of log returns
ecd.uniroot             Uniroot wrapper
ecd.y0_isomorphic       The analytic solution of y(0) via isomorphic
                        mapping.
ecdattr                 Constructor of 'ecdattr' class for the Elliptic
                        Database (ECDB)
ecdattr-class           An S4 class to represent the 'ecdattr' row in
                        the Elliptic Database (ECDB)
ecdattr.enrich          Enrich a basic 'ecdattr' object
ecdattr.pairs           Create a list of basic 'ecdattr' objects
ecdattr.pairs_polar     Create a list of basic 'ecdattr' objects in
                        polar coordinate
ecdb                    Constructor of ecdb class for the elliptic
                        database
ecdb-class              setClass for ecdb class
ecdb.dbSendQuery        Send query to the elliptic database
ecdb.protectiveCommit   Protective commit
ecdq                    Constructor of ecdq class
ecdq-class              setClass for ecdq class
ecld                    Constructor of ecld class
ecld-class              An S4 class to represent the lambda
                        distribution
ecld.cdf                CDF and CCDF of ecld
ecld.const              Analytic solution of the normalization constant
                        for lambda distribution
ecld.fixed_point_SN0_atm_ki
                        The ATM RNO related constants and calculations
                        in fixed point model
ecld.gamma              Incomplete gamma function and asymptotic
                        expansion
ecld.imgf               Incomplete moment generating function (IMGF) of
                        ecld
ecld.imnt               Incomplete moment (imnt) of ecld
ecld.ivol_ogf_star      Calculate implied volatility using star OGF and
                        small sigma formula
ecld.mgf_term           The term structure of ecld symmetric MGF
ecld.moment             The moments and MGF of ecld
ecld.mpnum              Wrappers for ecld to maintain consistent type
                        between mpfr and numeric
ecld.mu_D               mu_D of ecld
ecld.ogf                Option generating function (OGF) of ecld
ecld.ogf_star           Star OGF of ecld
ecld.op_Q               The Q operator in option pricing model
ecld.op_V               The O, V, U operators in option pricing model
ecld.pdf                Calculate the PDF of an ecld object
ecld.quartic_Qp         The ATM volatility and skew of Q_p in quartic
                        model
ecld.quartic_Qp_atm_attr
                        Calculate ATM attributes from key quartic
                        parameters
ecld.quartic_SN0_atm_ki
                        The ATM RNO related constants and calculations
                        in quartic model
ecld.sd                 Compute statistics analytically for an ecld
                        object
ecld.sged_const         The integral solutions of SGED
ecld.solve              Analytic solution for y(x) in lambda
                        distribution
ecld.y_slope            Analytic solution for the slope of y(x) in
                        lambda distribution
ecldOrEcd-class         The ecldOrEcd class
ecop-class              An S4 class to represent the top-level option
                        model
ecop.bs_implied_volatility
                        Implied volatility of Black-Sholes model
ecop.bs_option_price    Calculate option price from implied volatility
                        in Black-Sholes model
ecop.find_fixed_point_lambda_by_atm_skew
                        Utility to find the fixed point lambda that
                        matches ATM skew
ecop.find_fixed_point_sd_by_lambda
                        Utility to find the fixed point stdev when
                        lambda is given
ecop.from_symbol_conf   Constructor of ecop class by read conf for
                        option sample data
ecop.get_ld_triple      Get triple list of ecld objects by stdev
ecop.opt-class          An S4 class to represent the option data and
                        model calculation
ecop.polyfit_option     Poly fit on option prices
ecop.read_csv_by_symbol
                        Read option data csv
ecop.term_master_calculator
                        Master calculator for all the analytics of
                        volatility smiles required for a date
ecop.term_plot_3x3      Produce 3x3 plot of volatility smiles for a
                        date
ecop.vix_plot_3x3       Produce 3x3 plot of VIX volatility smiles for a
                        date
ellipticity.ecd         Ellipticity of ecd object
history.ecdb            List of history in the Elliptic DB
integrate_pdf.ecd       Integrate a function with PDF of the
                        distribution
jinv.ecd                J-invariant of the elliptic curve y(x)
k2mnt                   Conversion between cumulants and moments
lamp                    Constructor of lamp class
lamp-class              An S4 class to represent the lambda process
lamp.generate_tau       Generate tau from stable distribution
lamp.plot_sim4          Plot the simulation result in standard layout
lamp.qsl_fit_config     Read QSLD fit config
lamp.qsl_fit_plot       Plot the fit to asset returns using quartic
                        stable lambda distribution
lamp.sd_factor          Calculate sd adjustment factor
lamp.simulate1          Simulate one sequence of lambda process from
                        stable distribution
lamp.simulate_iter      Simulate lambda process from stable
                        distribution iteratively
lamp.stable_rnd_walk    Calculate the stable random walk
levy.dlambda            Standard Lambda distribution
levy.domain_coloring    Domain coloring of Laplace kernel of lambda
                        distribution
levy.dskewed            Skewed Levy distribution in Levy statistics
moment.ecd              Compute the moment of ecd via integration
numericMpfr-class       The numericMpfr class
plot_2x2.ecd            Standard 2x2 plot for sample data
qsl_kurtosis_analytic   Analytic solutions on the statistics of quartic
                        stable lambda distribution
qsld.fit                Fit observations to QSLD via MLE
quantilize.ecd          Add the quantile data to the ecd object
read.ecdb               Read API for the ecdb
rlaplace0               Laplace distribution
sld                     Constructor of sld class
sld-class               An S4 class to represent the stable lambda
                        distribution
sld.sd                  Compute statistics analytically for an sld
                        object
solve.ecd               Solve the elliptic curve y(x)
solve_sym.ecd           Analytic solution for a symmetric elliptic
                        curve
solve_trig.ecd          Trigonometric solution for a elliptic curve
summary.ecdb            Summary for the Elliptic DB (ECDB)
write.ecdb              Write API for the ecdb for a list of basic
                        ecdattr objects
y_slope.ecd             Slope of y(x)
