{
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  "Package": "shannon",
  "Type": "Package",
  "Title": "Computation of Entropy Measures and Relative Loss",
  "Version": "0.2.0",
  "Authors@R": "c(person(\"Muhammad\", \"Imran\", role = c(\"aut\", \"cre\"), email = \"imranshakoor84@yahoo.com\"), person(\"Christophe\", \"Chesneau\", role = \"aut\", email = \"christophe.chesneau@unicaen.fr\"), \nperson(\"Farrukh\", \"Jamal\", role = \"aut\", email = \"farrukh.jamal@iub.edu.pk\"))",
  "Author": "Muhammad Imran [aut, cre], Christophe Chesneau [aut], Farrukh\nJamal [aut]",
  "Maintainer": "Muhammad Imran <imranshakoor84@yahoo.com>",
  "Description": "The functions allow for the numerical evaluation of some\ncommonly used entropy measures, such as Shannon entropy, Rényi\nentropy, Havrda and Charvat entropy, and Arimoto entropy, at\nselected parametric values from several well-known and widely\nused probability distributions. Moreover, the functions also\ncompute the relative loss of these entropies using the\ntruncated distributions. Related works include: Awad, A. M., &\nAlawneh, A. J. (1987). Application of entropy to a life-time\nmodel. IMA Journal of Mathematical Control and Information,\n4(2), 143-148. <doi:10.1093/imamci/4.2.143>.",
  "License": "GPL-2",
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  "Packaged": {
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  "Repository": "https://imranshakoor.r-universe.dev",
  "Date/Publication": "2024-08-27 02:50:50 UTC",
  "RemoteUrl": "https://github.com/cran/shannon",
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  "_expires": "2027-01-22T09:24:06.000Z",
  "_created": "2026-10-14T08:32:29.000Z",
  "_published": "2026-10-14T09:24:08.442Z",
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    "author": "Muhammad Imran <imranshakoor84@yahoo.com>",
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    "message": "version 0.2.0\n",
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  "_exports": [
    "ae_beta",
    "ae_bexp",
    "ae_bs",
    "ae_burr",
    "ae_chi",
    "ae_ee",
    "ae_ew",
    "ae_exp",
    "ae_f",
    "ae_fre",
    "ae_gamma",
    "ae_gomp",
    "ae_gum",
    "ae_ig",
    "ae_kexp",
    "ae_kum",
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    "ae_lap",
    "ae_lnorm",
    "ae_logis",
    "ae_lom",
    "ae_naka",
    "ae_nh",
    "ae_norm",
    "ae_ray",
    "ae_st",
    "ae_wei",
    "hce_beta",
    "hce_bexp",
    "hce_bs",
    "hce_burr",
    "hce_chi",
    "hce_ee",
    "hce_ew",
    "hce_exp",
    "hce_f",
    "hce_fre",
    "hce_gamma",
    "hce_gomp",
    "hce_gum",
    "hce_ig",
    "hce_kexp",
    "hce_kum",
    "hce_kumnorm",
    "hce_lap",
    "hce_lnorm",
    "hce_logis",
    "hce_lom",
    "hce_naka",
    "hce_nh",
    "hce_norm",
    "hce_ray",
    "hce_st",
    "hce_wei",
    "re_beta",
    "re_bexp",
    "re_bs",
    "re_burr",
    "re_chi",
    "re_ee",
    "re_ew",
    "re_exp",
    "re_f",
    "re_fre",
    "re_gamma",
    "re_gomp",
    "re_gum",
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    "re_kum",
    "re_kumnorm",
    "re_lap",
    "re_lnorm",
    "re_logis",
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    "re_naka",
    "re_nh",
    "re_norm",
    "re_ray",
    "re_st",
    "re_wei",
    "rlae_beta",
    "rlae_bs",
    "rlae_chi",
    "rlae_exp",
    "rlae_f",
    "rlae_gamma",
    "rlae_gomp",
    "rlae_gum",
    "rlae_ig",
    "rlae_kum",
    "rlae_lap",
    "rlae_naka",
    "rlae_nh",
    "rlae_norm",
    "rlae_ray",
    "rlae_st",
    "rlae_wei",
    "rlhce_beta",
    "rlhce_bs",
    "rlhce_chi",
    "rlhce_exp",
    "rlhce_f",
    "rlhce_gamma",
    "rlhce_gomp",
    "rlhce_gum",
    "rlhce_ig",
    "rlhce_kum",
    "rlhce_lap",
    "rlhce_naka",
    "rlhce_nh",
    "rlhce_norm",
    "rlhce_ray",
    "rlhce_st",
    "rlhce_wei",
    "rlre_beta",
    "rlre_bs",
    "rlre_chi",
    "rlre_exp",
    "rlre_f",
    "rlre_gamma",
    "rlre_gomp",
    "rlre_gum",
    "rlre_ig",
    "rlre_kum",
    "rlre_lap",
    "rlre_naka",
    "rlre_nh",
    "rlre_norm",
    "rlre_ray",
    "rlre_st",
    "rlre_wei",
    "rlse_beta",
    "rlse_bs",
    "rlse_chi",
    "rlse_exp",
    "rlse_f",
    "rlse_gamma",
    "rlse_gomp",
    "rlse_gum",
    "rlse_ig",
    "rlse_kum",
    "rlse_lap",
    "rlse_naka",
    "rlse_nh",
    "rlse_norm",
    "rlse_ray",
    "rlse_st",
    "rlse_wei",
    "Se_beta",
    "se_bexp",
    "se_bs",
    "se_burr",
    "se_chi",
    "se_ee",
    "se_ew",
    "Se_exp",
    "se_f",
    "se_fre",
    "Se_gamma",
    "se_gomp",
    "Se_gum",
    "se_ig",
    "se_kum",
    "se_kumnorm",
    "Se_lap",
    "se_lnorm",
    "se_logis",
    "se_lom",
    "se_naka",
    "se_nh",
    "se_norm",
    "se_ray",
    "se_st",
    "se_wei"
  ],
  "_help": [
    {
      "page": "shannon-package",
      "title": "Computation of Entropy Measures and Relative Loss",
      "topics": [
        "shannon-package"
      ]
    },
    {
      "page": "beta",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the beta distribution",
      "topics": [
        "ae_beta",
        "hce_beta",
        "re_beta",
        "Se_beta"
      ]
    },
    {
      "page": "bexp",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the beta exponential distribution",
      "topics": [
        "ae_bexp",
        "hce_bexp",
        "re_bexp",
        "se_bexp"
      ]
    },
    {
      "page": "bs",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Birnbaum-Saunders distribution",
      "topics": [
        "ae_bs",
        "hce_bs",
        "re_bs",
        "se_bs"
      ]
    },
    {
      "page": "Burr12",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Burr XII distribution",
      "topics": [
        "ae_burr",
        "hce_burr",
        "re_burr",
        "se_burr"
      ]
    },
    {
      "page": "chi",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Chi-squared distribution",
      "topics": [
        "ae_chi",
        "hce_chi",
        "re_chi",
        "se_chi"
      ]
    },
    {
      "page": "exp",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the exponential distribution",
      "topics": [
        "ae_exp",
        "hce_exp",
        "re_exp",
        "Se_exp"
      ]
    },
    {
      "page": "nh",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the exponential extension distribution",
      "topics": [
        "ae_nh",
        "hce_nh",
        "re_nh",
        "se_nh"
      ]
    },
    {
      "page": "EE",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the exponentiated exponential distribution",
      "topics": [
        "ae_ee",
        "hce_ee",
        "re_ee",
        "se_ee"
      ]
    },
    {
      "page": "EW",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the exponentiated Weibull distribution",
      "topics": [
        "ae_ew",
        "hce_ew",
        "re_ew",
        "se_ew"
      ]
    },
    {
      "page": "f",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the F distribution",
      "topics": [
        "ae_f",
        "hce_f",
        "re_f",
        "se_f"
      ]
    },
    {
      "page": "fre",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Fréchet distribution",
      "topics": [
        "ae_fre",
        "hce_fre",
        "re_fre",
        "se_fre"
      ]
    },
    {
      "page": "gamma",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the gamma distribution",
      "topics": [
        "ae_gamma",
        "hce_gamma",
        "re_gamma",
        "Se_gamma"
      ]
    },
    {
      "page": "gomp",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Gompertz distribution",
      "topics": [
        "ae_gomp",
        "hce_gomp",
        "re_gomp",
        "se_gomp"
      ]
    },
    {
      "page": "gum",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Gumbel distribution",
      "topics": [
        "ae_gum",
        "hce_gum",
        "re_gum",
        "Se_gum"
      ]
    },
    {
      "page": "ig",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the inverse-gamma distribution",
      "topics": [
        "ae_ig",
        "hce_ig",
        "re_ig",
        "se_ig"
      ]
    },
    {
      "page": "kum",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Kumaraswamy distribution",
      "topics": [
        "ae_kum",
        "hce_kum",
        "re_kum",
        "se_kum"
      ]
    },
    {
      "page": "kexp",
      "title": "Compute the Rényi, Havrda and Charvat, and Arimoto entropies of the Kumaraswamy exponential distribution",
      "topics": [
        "ae_kexp",
        "hce_kexp",
        "re_kexp"
      ]
    },
    {
      "page": "kumnorm",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Kumaraswamy normal distribution",
      "topics": [
        "ae_kumnorm",
        "hce_kumnorm",
        "re_kumnorm",
        "se_kumnorm"
      ]
    },
    {
      "page": "lap",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Laplace or the double exponential distributiondistribution",
      "topics": [
        "ae_lap",
        "hce_lap",
        "re_lap",
        "Se_lap"
      ]
    },
    {
      "page": "lnorm",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the log-normal distribution",
      "topics": [
        "ae_lnorm",
        "hce_lnorm",
        "re_lnorm",
        "se_lnorm"
      ]
    },
    {
      "page": "logis",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the logistic distribution",
      "topics": [
        "ae_logis",
        "hce_logis",
        "re_logis",
        "se_logis"
      ]
    },
    {
      "page": "lomax",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Lomax distribution",
      "topics": [
        "ae_lom",
        "hce_lom",
        "re_lom",
        "se_lom"
      ]
    },
    {
      "page": "naka",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Nakagami distribution",
      "topics": [
        "ae_naka",
        "hce_naka",
        "re_naka",
        "se_naka"
      ]
    },
    {
      "page": "norm",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the normal distribution",
      "topics": [
        "ae_norm",
        "hce_norm",
        "re_norm",
        "se_norm"
      ]
    },
    {
      "page": "rey",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Rayleigh distribution",
      "topics": [
        "ae_ray",
        "hce_ray",
        "re_ray",
        "se_ray"
      ]
    },
    {
      "page": "st",
      "title": "Compute the Shannon, Rényi, Havrda and Charvat, and Arimoto entropies of the Student's t distribution",
      "topics": [
        "ae_st",
        "hce_st",
        "re_st",
        "se_st"
      ]
    },
    {
      "page": "risk_beta",
      "title": "Relative loss for various entropy measures using the truncated beta distribution",
      "topics": [
        "rlae_beta",
        "rlhce_beta",
        "rlre_beta",
        "rlse_beta"
      ]
    },
    {
      "page": "risk_bs",
      "title": "Relative loss for various entropy measures using the truncated Birnbaum-Saunders distribution",
      "topics": [
        "rlae_bs",
        "rlhce_bs",
        "rlre_bs",
        "rlse_bs"
      ]
    },
    {
      "page": "risk_chi",
      "title": "Relative loss for various entropy measures using the truncated Chi-squared distribution",
      "topics": [
        "rlae_chi",
        "rlhce_chi",
        "rlre_chi",
        "rlse_chi"
      ]
    },
    {
      "page": "risk_exp",
      "title": "Relative loss for various entropy measures using the truncated exponential distribution",
      "topics": [
        "rlae_exp",
        "rlhce_exp",
        "rlre_exp",
        "rlse_exp"
      ]
    },
    {
      "page": "risk_nh",
      "title": "Relative loss for various entropy measures using the truncated exponential extension distribution",
      "topics": [
        "rlae_nh",
        "rlhce_nh",
        "rlre_nh",
        "rlse_nh"
      ]
    },
    {
      "page": "risk_f",
      "title": "Relative loss for various entropy measures using the truncated F distribution",
      "topics": [
        "rlae_f",
        "rlhce_f",
        "rlre_f",
        "rlse_f"
      ]
    },
    {
      "page": "risk_gamma",
      "title": "Relative loss for various entropy measures using the truncated gamma distribution",
      "topics": [
        "rlae_gamma",
        "rlhce_gamma",
        "rlre_gamma",
        "rlse_gamma"
      ]
    },
    {
      "page": "risk_gomp",
      "title": "Relative loss for various entropy measures using the truncated Gompertz distribution",
      "topics": [
        "rlae_gomp",
        "rlhce_gomp",
        "rlre_gomp",
        "rlse_gomp"
      ]
    },
    {
      "page": "risk_gum",
      "title": "Relative loss for various entropy measures using the truncated Gumbel distribution",
      "topics": [
        "rlae_gum",
        "rlhce_gum",
        "rlre_gum",
        "rlse_gum"
      ]
    },
    {
      "page": "risk_ig",
      "title": "Relative loss for various entropy measures using the truncated inverse-gamma distribution",
      "topics": [
        "rlae_ig",
        "rlhce_ig",
        "rlre_ig",
        "rlse_ig"
      ]
    },
    {
      "page": "risk_kum",
      "title": "Relative loss for various entropy measures using the truncated Kumaraswamy distribution",
      "topics": [
        "rlae_kum",
        "rlhce_kum",
        "rlre_kum",
        "rlse_kum"
      ]
    },
    {
      "page": "risk_lap",
      "title": "Relative loss for various entropy measures using the truncated Laplace distribution",
      "topics": [
        "rlae_lap",
        "rlhce_lap",
        "rlre_lap",
        "rlse_lap"
      ]
    },
    {
      "page": "risk_naka",
      "title": "Relative loss for various entropy measures using the truncated Nakagami distribution",
      "topics": [
        "rlae_naka",
        "rlhce_naka",
        "rlre_naka",
        "rlse_naka"
      ]
    },
    {
      "page": "risk_norm",
      "title": "Relative loss for various entropy measures using the truncated normal distribution",
      "topics": [
        "rlae_norm",
        "rlhce_norm",
        "rlre_norm",
        "rlse_norm"
      ]
    },
    {
      "page": "risk_ray",
      "title": "Relative loss for various entropy measures using the truncated Rayleigh distribution",
      "topics": [
        "rlae_ray",
        "rlhce_ray",
        "rlre_ray",
        "rlse_ray"
      ]
    },
    {
      "page": "risk_st",
      "title": "Relative loss for various entropy measures using the truncated Student's t distribution",
      "topics": [
        "rlae_st",
        "rlhce_st",
        "rlre_st",
        "rlse_st"
      ]
    },
    {
      "page": "risk_wei",
      "title": "Relative loss for various entropy measures using the truncated Weibull distribution",
      "topics": [
        "rlae_wei",
        "rlhce_wei",
        "rlre_wei",
        "rlse_wei"
      ]
    },
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