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ERPeq (version 0.1.0)

Probabilistic Hazard Assessment

Description

Computes the probability density and cumulative distribution functions of fourteen distributions used for the probabilistic hazard assessment. Estimates the model parameters of the distributions using the maximum likelihood and reports the goodness-of-fit statistics. The recurrence interval estimations of earthquakes are computed for each distribution.

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Version

Install

install.packages('ERPeq')

Monthly Downloads

144

Version

0.1.0

License

GPL-3

Maintainer

Emrah Altun

Last Published

June 22nd, 2023

Functions in ERPeq (0.1.0)

Cumulative distribution function of the gumbel distribution

Cumulative distribution function of the exponentiated exponential distribution

Cumulative distribution function of the generalized gamma distribution

Cumulative distribution function of the Levy distribution

Cumulative distribution function of the exponentiated Rayleigh distribution

Cumulative distribution function of the log-normal distribution

data_earthquake_7

Earthquake dataset

Probabilistic estimation of earthquake recurrence interval using exponentiated exponential distribution

Cumulative distribution function of the exponentiated Weibull distribution

Cumulative distribution function of the Rayleigh distribution

Probability density function of the generalized gamma distribution

Fitting the generalized gamma distribution

data_earthquake_6.5_7

Earthquake dataset

Fitting the gamma distribution

Cumulative distribution function of the Pareto distribution

Fitting the Gumbel distribution

Cumulative distribution function of the inverse gamma distribution

Probabilistic estimation of earthquake recurrence interval using exponentiated Weibull distribution

data_earthquake_6_6.5

Earthquake dataset

Probabilistic estimation of earthquake recurrence interval using exponentiated Rayleigh distribution

Fitting the Birnbaum-Saunders-Generalized Pareto distribution

Fitting the exponentiated exponential distribution

Fitting the log-normal distribution

Probability density function of the exponentiated Rayleigh distribution

Cumulative distribution function of the Weibull distribution

Probabilistic estimation of earthquake recurrence interval using gamma distribution

Probabilistic estimation of earthquake recurrence interval using Gumbel distribution

Probability density function of the exponentiated Weibull distribution

Probabilistic estimation of earthquake recurrence interval using inverse Weibull distribution

Fitting the exponentiated exponentiated Rayleigh distribution

Generate random observations from exponentiated Weibull distribution

Probabilistic estimation of earthquake recurrence interval using Levy distribution

Probabilistic estimation of earthquake recurrence interval using inverse gamma distribution

Probabilistic estimation of earthquake recurrence interval using Weibull distribution

Fitting the gamma distribution

Fitting the inverse gamma distribution

Generate random observations from exponentiated exponential distribution

Fitting the exponentiated Weibull distribution

Fitting the Pareto distribution

Fitting the Levy distribution

Generate random observations from Birnbaum-Saunders-Generalized Pareto distribution

Probabilistic estimation of earthquake recurrence interval using log-normal distribution

Probabilistic estimation of earthquake recurrence interval using Pareto distribution

Probabilistic estimation of earthquake recurrence interval using generalized gamma distribution

Probability density function of the Birnbaum-Saunders-Generalized Pareto distribution

Probability density function of the exponentiated exponential distribution

Probability density function of the Gamma distribution

Generate random observations from exponentiated Rayleigh distribution

Probability density function of the Rayleigh distribution

Probability density function of the Weibull distribution

Probability density function of the Levy distribution

Probability density function of the inverse Weibull distribution

Probabilistic estimation of earthquake recurrence interval using Rayleigh distribution

Fitting the Rayleigh distribution

Probability density function of the log-normal distribution

Fitting the Weibull distribution

Probability density function of the gumbel distribution

Probability density function of the inverse gamma distribution

Probability density function of the Pareto distribution

Generate random observations from Levy distribution

Cumulative distribution function of the Gamma distribution

Cumulative distribution function of the inverse Weibull distribution

Cumulative distribution function of the Birnbaum-Saunders-Generalized Pareto distribution