Probability Distribution Functions


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Documentation for package ‘Distributacalcul’ version 0.2.2

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D E K L M P S T V

-- D --

derlang Density function of the Erlang distribution
Distributacalcul_vis Interactive distribution visualization
d_pareto Density function of the Pareto distribution
d_unifD Probability mass function of the (discrete) Uniform Distribution

-- E --

Elim_beta Limited mean of the Beta distribution
Elim_burr Limited mean of the Burr distribution
Elim_erlang Limited mean of the Erlang distribution
Elim_exp Limited mean of the Exponential distribution
Elim_gamma Limited mean of the Gamma distribution
Elim_IG Limited mean of the Inverse Gaussian distribution
Elim_llogis Limited mean of the Loglogistic distribution
Elim_lnorm Limited mean of the Lognormal distribution
Elim_norm Limited mean of the Normal distribution
Elim_pareto Limited mean of the Pareto distribution
Elim_unif Limited mean of the Uniform distribution
Elim_weibull Limited mean of the Weibull distribution
Etronq_beta Truncated mean of the Beta distribution
Etronq_binom Truncated mean of the Binomial distribution
Etronq_burr Truncated mean of the Burr distribution
Etronq_erlang Truncated mean of the Erlang distribution
Etronq_exp Truncated mean of the Exponential distribution
Etronq_gamma Truncated mean of the Gamma distribution
Etronq_IG Truncated mean of the Inverse Gaussian distribution
Etronq_llogis Truncated mean of the Loglogistic distribution
Etronq_lnorm Truncated mean of the Lognormal distribution
Etronq_norm Truncated mean of the Normal distribution
Etronq_pareto Truncated mean of the Pareto distribution
Etronq_pois Truncated mean of the Poisson distribution
Etronq_unif Truncated mean of the Uniform distribution
Etronq_weibull Truncated mean of the Weibull distribution
E_beta Expected value of the Beta distribution
E_BINCOMP Compound Binomial Distribution
E_binom Expected value of the Binomial distribution
E_BNCOMP Compound Negative Binomial Distribution
E_burr Expected value of the Burr distribution
E_erlang Expected value of the Erlang distribution
E_exp Expected value of the Exponential distribution
E_gamma Expected value of the Gamma distribution
E_hyper Expected value of the Hypergeometric distribution
E_IG Expected value of the Inverse Gaussian distribution
E_llogis Expected value of the Loglogistic distribution
E_lnorm Expected value of the Lognormal distribution
E_logarithmic Expected value of the Logarithmic distribution
E_negbinom Expected value of the negative binomial distribution
E_norm Expected value of the Normal distribution
E_pareto Expected value of the Pareto distribution
E_PCOMP Compound Poisson Distribution
E_pois Expected value of the Poisson distribution
E_unif Expected value of the Uniform distribution
E_unifD Expected value of the (discrete) Uniform distribution
E_weibull Expected value of the Weibull distribution

-- K --

kthmoment_beta kth moment of the Beta distribution
kthmoment_burr kth moment of the Burr distribution
kthmoment_erlang kth moment of the Erlang distribution
kthmoment_exp kth moment of the Exponential distribution
kthmoment_gamma kth moment of the Gamma distribution
kthmoment_llogis kth moment of the Loglogistic distribution
kthmoment_lnorm kth moment of the Lognormal distribution
kthmoment_pareto kth moment of the Pareto distribution
kthmoment_unif kth moment of the Uniform distribution
kthmoment_weibull kth moment of the Weibull distribution

-- L --

lawParametersBox Interactive distribution visualization (server side)
lawParametersBoxUI Interactive distribution visualization (UI side)

-- M --

Mexcess_beta Mean excess loss of the Beta distribution
Mexcess_burr Mean excess loss of the Burr distribution
Mexcess_erlang Mean excess loss of the Erlang distribution
Mexcess_exp Mean excess loss of the Exponential distribution
Mexcess_gamma Mean excess loss of the Gamma distribution
Mexcess_IG Mean excess loss of the Inverse Gaussian distribution
Mexcess_llogis Mean excess loss of the Loglogistic distribution
Mexcess_lnorm Mean excess loss of the Lognormal distribution
Mexcess_norm Mean excess loss of the Normal distribution
Mexcess_pareto Mean excess loss of the Pareto distribution
Mexcess_unif Mean excess loss of the Uniform distribution
Mexcess_weibull Mean excess loss of the Weibull distribution
MGF_beta Moment Generating Function of the Beta distribution
MGF_binom Moment Generating Function of the Binomial distribution
MGF_erlang Moment Generating Function of the Erlang distribution
MGF_exp Moment Generating Function of the Exponential distribution
MGF_gamma Moment Generating Function of the Gamma distribution
MGF_IG Moment Generating Function of the Inverse Gaussian distribution
MGF_logarithmic Moment Generating Function of the Logarithmic distribution
MGF_negbinom Moment Generating Function of the Negative Binomial distribution
MGF_norm Moment Generating Function of the Normal distribution
MGF_pois Moment Generating Function of the Poisson distribution

-- P --

perlang Cumulative density function of the Erlang distribution
PGF_binom Probability Generating Function of the Binomial distribution
PGF_logarithmic Probability Generating Function of the Logarithmic distribution
PGF_negbinom Probability Generating Function of the Negative Binomial distribution
PGF_pois Probability Generating Function of the Poisson distribution
p_BINCOMP Compound Binomial Distribution
p_BNCOMP Compound Negative Binomial Distribution
p_pareto Cumulative density function of the Pareto distribution
p_PCOMP Compound Poisson Distribution
p_unifD Cumulative probability mass function of the (discrete) Uniform distribution

-- S --

SL_beta Stop-loss of the Beta distribution
SL_burr Stop-loss of the Burr distribution
SL_erlang Stop-loss of the Erlang distribution
SL_exp Stop-loss of the Exponential distribution
SL_gamma Stop-loss of the Gamma distribution
SL_IG Stop-loss of the Inverse Gaussian distribution
SL_llogis Stop-loss of the Loglogistic distribution
SL_lnorm Stop-loss of the Lognormal distribution
SL_norm Stop-loss of the Normal distribution
SL_pareto Stop-loss of the Pareto distribution
SL_unif Stop-loss of the Uniform distribution
SL_weibull Stop-loss of the Weibull distribution

-- T --

TVaR_beta Tail Value-at-Risk of the Beta distribution
TVaR_BINCOMP Compound Binomial Distribution
TVaR_binom Tail Value-at-Risk of the Binomial distribution
TVaR_BNCOMP Compound Negative Binomial Distribution
TVaR_burr Tail Value-at-Risk of the Burr distribution
TVaR_erlang Tail Value-at-Risk of the Erlang distribution
TVaR_exp Tail Value-at-Risk of the Exponential distribution
TVaR_gamma Tail Value-at-Risk of the Gamma distribution
TVaR_IG Tail Value-at-Risk of the Inverse Gaussian distribution
TVaR_llogis Tail Value-at-Risk of the Loglogistic distribution
TVaR_lnorm Tail Value-at-Risk of the Lognormal distribution
TVaR_norm Tail Value-at-Risk of the Normal distribution
TVaR_pareto Tail Value-at-Risk of the Pareto distribution
TVaR_PCOMP Compound Poisson Distribution
TVaR_pois Tail Value-at-Risk of the Poisson distribution
TVaR_unif Tail Value-at-Risk of the Uniform distribution
TVaR_weibull Tail Value-at-Risk of the Weibull Distribution

-- V --

VaR_beta Value-at-Risk of the Beta distribution
VaR_BINCOMP Compound Binomial Distribution
VaR_binom Value-at-Risk of the Binomial distribution
VaR_BNCOMP Compound Negative Binomial Distribution
VaR_burr Value-at-Risk of the Burr distribution
VaR_erlang Value-at-Risk of the Erlang distribution
VaR_exp Value-at-Risk of the Exponential distribution
VaR_gamma Value-at-Risk of the Gamma distribution
VaR_IG Value-at-Risk of the Inverse Gaussian distribution
VaR_llogis Value-at-Risk of the Loglogistic distribution
VaR_lnorm Value-at-Risk of the Lognormal distribution
VaR_norm Value-at-Risk of the Normal distribution
VaR_pareto Value-at-Risk of the Pareto distribution
VaR_PCOMP Compound Poisson Distribution
VaR_unif Value-at-Risk of the Uniform distribution
VaR_weibull Value-at-Risk of the Weibull distribution
V_beta Variance of the Beta distribution
V_BINCOMP Compound Binomial Distribution
V_binom Variance of the Binomial distribution
V_BNCOMP Compound Negative Binomial Distribution
V_burr Variance of the Burr distribution
V_erlang Variance of the Erlang distribution
V_exp Variance of the Exponential distribution
V_gamma Variance of the Gamma distribution
V_hyper Variance of the Hypergeometric distribution
V_IG Variance of the Inverse Gaussian distribution
V_llogis Variance of the Loglogistic distribution
V_lnorm Variance of the Lognormal distribution
V_logarithmic Variance of the Logarithmic distribution
V_negbinom Variance of the negative binomial distribution
V_norm Variance of the Normal distribution
V_pareto Variance of the Pareto distribution
V_PCOMP Compound Poisson Distribution
V_pois Variance of the Poisson distribution
V_unif Variance of the Uniform distribution
V_unifD Variance of the (discrete) Uniform distribution
V_weibull Variance of the Weibull distribution