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Distribution functions

Core d/p/q/r/h functions for the Beta-Danish distribution

Maximum likelihood estimation

fit_betadanish()
Fit the Beta-Danish Distribution to Survival Data
gof_betadanish()
Goodness-of-Fit Statistics for Beta-Danish Models
compare_models()
Compare Nested Beta-Danish Models
compare_distributions()
Compare Beta-Danish with Standard Distributions

Bayesian estimation

bayes_betadanish()
Bayesian Estimation for the Beta-Danish Distribution

AFT regression

fit_bd_aft()
Fit Beta-Danish AFT Regression Model

Cure models

fit_bd_cure()
Fit Beta-Danish Cure Models
simulate_bd_cure_data()
Simulate Beta-Danish Cure Data

Competing risks

fit_bd_competing()
Fit a Beta-Danish Competing Risks Model
cif_betadanish()
Cumulative Incidence Function
cif_compare()
Compare Model-Based CIF to the Aalen-Johansen Estimator

Structural properties

bd_entropy_shannon() bd_entropy_renyi() bd_entropy_tsallis()
Entropies of the Beta-Danish Distribution
bd_order_stat_pdf()
Density of the r-th Order Statistic

Diagnostics and plots

plot(<betadanish>)
Plot Diagnostics for Beta-Danish Fit
plot(<bd_aft>) plot(<bd_cure>)
Cox-Snell Residual Plot for AFT and Cure Fits
plot(<bd_bayes>)
Diagnostic Plots for a Bayesian Fit

S3 methods

summary(<betadanish>)
Summary Method for Beta-Danish Fit
print(<betadanish>)
Print Method for Beta-Danish Fit
print(<summary.betadanish>)
Print Summary Method for Beta-Danish Fit
coef(<betadanish>)
Extract Coefficients
vcov(<betadanish>)
Extract Variance-Covariance Matrix
logLik(<betadanish>)
Extract Log-Likelihood

Reports and pipelines

analyze_betadanish()
Comprehensive Beta-Danish Analysis Pipeline
report_betadanish() print(<betadanish_report>)
Create a Compact Report from a Beta-Danish Model Fit
read_survival_data()
Read and Prepare Survival Data
simulate_bd_data()
Simulate Data from the Beta-Danish Distribution

Datasets

remission
Bladder Cancer Remission Times
carbon_fibres
Breaking Stress of Carbon Fibres
transplant
Bone Marrow Transplant Survival
aarset
Aarset Device Failure Times
leukemia
Acute Myelogenous Leukemia Survival
melanoma
Malignant Melanoma Survival After Surgery
guinea_pig
Guinea Pig Survival Times

Added in 0.3.0

bd_analyze_csv() print(<bd_analysis>) summary(<bd_analysis>) print(<summary.bd_analysis>) plot(<bd_analysis>)
Analyse Survival Data Straight from a CSV File
bd_lorenz() bd_bonferroni()
Lorenz and Bonferroni Curves
bd_conditional_moment()
Conditional Moments
bd_csv_template()
Write a Skeleton CSV for BetaDanish
bd_entropy_shannon() bd_entropy_renyi() bd_entropy_tsallis()
Entropies of the Beta-Danish Distribution
bd_hazard_shape() print(<bd_shape>)
Hazard Rate Shape and the Glaser Diagnostic
bd_identified_coef() print(<bd_identified>)
Coefficients in the Identified Parametrisation
bd_incomplete_moment()
Incomplete Moments
bd_mean_deviation()
Mean Deviations
bd_moment_summary()
Summary Moments: Mean, Variance, Skewness and Kurtosis
bd_moments()
Raw Moments of the Beta-Danish Distribution
bd_mrl() bd_rmrl()
Mean Residual Life and Reversed Mean Residual Life
bd_order_stat_cdf() bd_order_stat_moments()
Order Statistic Distribution and Moments
bd_profile_ci() print(<bd_profile>)
Profile Likelihood Confidence Interval
bd_pwm()
Probability Weighted Moments
bd_stress_strength()
Stress-Strength Reliability
bd_tail_index()
Tail Index of the Beta-Danish Distribution
bd_wald_ci()
Log-Scale Wald Confidence Intervals
ded() ped() qed() red() sed() hed()
The Exponentiated Danish Distribution
dbetadanish() pbetadanish() qbetadanish() rbetadanish() sbetadanish() hbetadanish()
The Beta-Danish Distribution

Simulation and visualization

bd_profile_plot()
Plot a Profile Likelihood
bd_simulation_competing()
Finite-Sample Simulation Study for Competing Risks
bd_simulation_cure()
Finite-Sample Simulation Study for the Cure Model
bd_simulation_study() print(<bd_simulation>) summary(<bd_simulation>)
Finite-Sample Simulation Study for the Univariate Model
bd_ttt_plot()
Scaled Total Time on Test Plot
simulate_bd_competing_data()
Simulate Competing Risks Data