Stochastic Poisson Processes and Fractional Counting Models
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Documentation for package ‘StochFracPoisson’ version 0.1.0
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| 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 |