R: Stochastic Poisson Processes and Fractional Counting Models

# Stochastic Poisson Processes and Fractional Counting Models

## Documentation for package ‘StochFracPoisson’ version 0.1.0

- DESCRIPTION file
- Package README

## Help Pages

alternative_gfrp | Alternative Generalized Fractional Risk Process (AGFRP)
bell_polynomial | Classical Bell Polynomials
check_lrd_gipp | Check Long-Range Dependence of GIPP
check_martingale_gfrp | Check Martingale Property of GFRP
compound_gfcp | Compound Generalized Fractional Counting Process (CGFCP)
cov_gipp | Covariance of GIPP
cov_inverse_stable | Covariance of Inverse Stable Subordinator
cov_tstfnbp | Covariance of TSTFNBP
create_fcp | Create FCP Object
create_gipp | Create GIPP Object
create_tcfcp | Create TCFCP Object
dgamma_subordinator | PDF of Gamma Subordinator
dtempered_mittag_leffler_levy | PDF of Tempered Mittag-Leffler Lévy Process
egf_fractional_bell | Exponential Generating Function of Fractional Bell Polynomials
fde_cgfcp | Fractional Differential Equation for CGFCP
first_passage_density_gipp | First Passage Time Density of GIPP
first_passage_time_fcp | First Passage Time Distribution of FCP
first_passage_time_gipp | First Passage Time Distribution of GIPP
first_passage_time_tcfcp | First Passage Time Distribution of TCFCP
first_waiting_time_fcp | First Waiting Time Distribution of FCP
first_waiting_time_tcfcp | First Waiting Time Distribution of TCFCP
fractional_bell_polynomial | Fractional Bell Polynomials
fractional_counting_process | Fractional Counting Process (FCP)
fractional_stirling2 | Fractional Stirling Numbers of the Second Kind
gamma_subordinator | Gamma Subordinator
generalized_fractional_risk_process | Generalized Fractional Risk Process (GFRP)
generalized_fractional_stirling2 | Generalized Fractional Stirling Numbers of the Second Kind
generalized_iterated_poisson | Generalized Iterated Poisson Process (GIPP)
gfcp | Generalized Fractional Counting Process (GFCP)
incomplete_beta | Incomplete Beta Function
inverse_stable_subordinator | Inverse Stable Subordinator
invert_pgf | Numerical Inversion of Probability Generating Function
lt_fcp | Laplace Transform of FCP
lt_tcfcp | Laplace Transform of TCFCP
lt_tempered_mittag_leffler_levy | Laplace Transform of Tempered Mittag-Leffler Lévy Process
lt_tstfnbp | Laplace Transform of TSTFNBP
mean_cgfcp | Mean of CGFCP
mean_fcp | Mean of Fractional Counting Process
mean_gfrp | Mean of GFRP
mean_gipp | Mean of GIPP
mean_inverse_stable | Mean of Inverse Stable Subordinator
mean_tcfcp | Mean of Time-Changed FCP
mean_tstfnbp | Mean of TSTFNBP
mgamma_subordinator | Moment of Gamma Subordinator
mgf_fcp | Moment Generating Function of FCP
mgf_gipp | Moment Generating Function of GIPP
mittag_leffler | Mittag-Leffler Function
mittag_leffler_prabhakar | Prabhakar (Three-Parameter) Mittag-Leffler Function
net_profit_condition_gfrp | Net Profit Condition for GFRP
partial_ordinary_bell | Partial Ordinary Bell Polynomials
pgamma_subordinator | CDF of Gamma Subordinator
pgf_cgfcp | Probability Generating Function of CGFCP
pgf_fcp | Probability Generating Function of FCP
pgf_gipp | Probability Generating Function of GIPP
pgf_tstfnbp | Probability Generating Function of TSTFNBP
pochhammer | Pochhammer Symbol
print.fcp | S3 Print Method for FCP
print.gipp | S3 Print Method for GIPP
print.tcfcp | S3 Print Method for TCFCP
ruin_probability_gfrp | Ruin Probability for GFRP
simulate_cgfcp | Simulate Sample Paths of CGFCP
simulate_fcp | Simulate Sample Paths of FCP
simulate_gfrp | Simulate Sample Paths of GFRP
simulate_gipp | Simulate Sample Paths of GIPP
simulate_tcfcp | Simulate Sample Paths of TCFCP
simulate_tstfnbp | Simulate Sample Paths of TSTFNBP
stirling2 | Classical Stirling Numbers of the Second Kind
tempered_mittag_leffler_levy | Tempered Mittag-Leffler Lévy Process
tempered_mittag_leffler_moment | Fractional Moment of Tempered Mittag-Leffler Lévy Process
tempered_stable_subordinator | Tempered Stable Subordinator
tempered_st_fnbp | Tempered Space-Time Fractional Negative Binomial Process (TSTFNBP)
time_changed_fcp | Time-Changed Fractional Counting Process (TCFCP)
var_cgfcp | Variance of CGFCP
var_fcp | Variance of Fractional Counting Process
var_gfrp | Variance of GFRP
var_gipp | Variance of GIPP
var_tcfcp | Variance of Time-Changed FCP
var_tstfnbp | Variance of TSTFNBP
wright_function | Generalized Wright Function