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shannon (version 0.2.0)

Computation of Entropy Measures and Relative Loss

Description

The functions allow for the numerical evaluation of some commonly used entropy measures, such as Shannon entropy, Rényi entropy, Havrda and Charvat entropy, and Arimoto entropy, at selected parametric values from several well-known and widely used probability distributions. Moreover, the functions also compute the relative loss of these entropies using the truncated distributions. Related works include: Awad, A. M., & Alawneh, A. J. (1987). Application of entropy to a life-time model. IMA Journal of Mathematical Control and Information, 4(2), 143-148. .

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Version

Install

install.packages('shannon')

Monthly Downloads

177

Version

0.2.0

License

GPL-2

Maintainer

Muhammad Imran

Last Published

August 26th, 2024

Functions in shannon (0.2.0)

Gumbel distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Gumbel distribution

Rayleigh distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Rayleigh distribution

Truncated beta distribution

Relative loss for various entropy measures using the truncated beta distribution

Truncated Chi-squared distribution

Relative loss for various entropy measures using the truncated Chi-squared distribution

Truncated Birnbaum-Saunders distribution

Relative loss for various entropy measures using the truncated Birnbaum-Saunders distribution

Normal distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the normal distribution

Exponential extension distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the exponential extension distribution

Nakagami distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Nakagami distribution

Lomax distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Lomax distribution

Truncated normal distribution

Relative loss for various entropy measures using the truncated normal distribution

Truncated Rayleigh distribution

Relative loss for various entropy measures using the truncated Rayleigh distribution

Truncated Gompertz distribution

Relative loss for various entropy measures using the truncated Gompertz distribution

Truncated gamma distribution

Relative loss for various entropy measures using the truncated gamma distribution

Inverse-gamma distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the inverse-gamma distribution

Truncated F distribution

Relative loss for various entropy measures using the truncated F distribution

Truncated Gumbel distribution

Relative loss for various entropy measures using the truncated Gumbel distribution

Truncated inverse-gamma distribution

Relative loss for various entropy measures using the truncated inverse-gamma distribution

Truncated exponential distribution

Relative loss for various entropy measures using the truncated exponential distribution

Student's t distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Student's t distribution

shannon-package

Computation of Entropy Measures and Relative Loss

Truncated Nakagami distribution

Relative loss for various entropy measures using the truncated Nakagami distribution

Truncated exponential extension distribution

Relative loss for various entropy measures using the truncated exponential extension distribution

Truncated Kumaraswamy distribution

Relative loss for various entropy measures using the truncated Kumaraswamy distribution

Truncated Weibull distribution

Relative loss for various entropy measures using the truncated Weibull distribution

Weibull distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Weibull distribution

Truncated Student's t distribution

Relative loss for various entropy measures using the truncated Student's t distribution

Truncated Laplace distribution

Relative loss for various entropy measures using the truncated Laplace distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the F distribution

Beta exponential distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the beta exponential distribution

Birnbaum-Saunders distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Birnbaum-Saunders distribution

Exponentiated exponential distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the exponentiated exponential distribution

Exponentiated Weibull distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the exponentiated Weibull distribution

Chi-squared distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Chi-squared distribution

Beta distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the beta distribution

Exponential distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the exponential distribution

Frechet distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Fréchet distribution

Burr XII distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Burr XII distribution

Kumaraswamy distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Kumaraswamy distribution

Kumaraswamy normal distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Kumaraswamy normal distribution

Logistic distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the logistic distribution

Log-normal distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the log-normal distribution

Kumaraswamy exponential distribution

Compute the Rényi, Havrda and Charvat, and Arimoto entropies of the Kumaraswamy exponential distribution

Gamma distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the gamma distribution

Laplace distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Laplace or the double exponential distributiondistribution

Gompertz distribution

Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Gompertz distribution