Level-Wise Statistics for Fuzzy Random Variables
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Documentation for package ‘FuzzyRandom’ version 0.1.0
Help Pages
| FuzzyRandom-package | Statistics of Fuzzy Random Variables: a Puri-Ralescu Framework |
| alpha_levels | Alpha grid of a fuzzy object |
| as_fuzzy_sample | Coerce to a FuzzySample |
| as_fuzzy_sample.data.frame | Coerce to a FuzzySample |
| as_fuzzy_sample.default | Coerce to a FuzzySample |
| as_fuzzy_sample.FuzzyNumber | Coerce to a FuzzySample |
| clt | Central limit theorem for a fuzzy random sample |
| correlation | Correlation of two fuzzy random variables (sample) |
| correlation.FuzzySample | Correlation of two fuzzy random variables (sample) |
| cov.FuzzySample | Covariance of two fuzzy random variables (sample) |
| covariance | Covariance of two fuzzy random variables (sample) |
| covariance.FuzzySample | Covariance of two fuzzy random variables (sample) |
| cuts | Alpha-level cuts of a fuzzy number |
| cuts.FuzzyNumber | Alpha-level cuts of a fuzzy number |
| cut_at | Cut of a fuzzy number at a single level |
| cut_at.FuzzyNumber | Cut of a fuzzy number at a single level |
| expectation | Expectation of a fuzzy random variable (sample) |
| expectation.FuzzySample | Expectation of a fuzzy random variable (sample) |
| FuzzyNumber | A fuzzy number given by its alpha-level cuts |
| FuzzyRandom | Statistics of Fuzzy Random Variables: a Puri-Ralescu Framework |
| FuzzySample | Build a sample of fuzzy random variables |
| fuzzy_ecdf | Empirical distribution function of a fuzzy random sample |
| fuzzy_ecdf.FuzzySample | Empirical distribution function of a fuzzy random sample |
| fuzzy_from_membership | A fuzzy number from a membership function evaluated on a grid |
| fuzzy_normal | Construct a fuzzy normal distribution |
| is_fuzzy_number | Whether an object is a (valid) fuzzy number |
| is_fuzzy_sample | Whether an object is a FuzzySample |
| ks_test | One- and two-sample fuzzy Kolmogorov-Smirnov tests |
| ks_test.FuzzySample | One- and two-sample fuzzy Kolmogorov-Smirnov tests |
| lln | Level-wise sample-mean convergence (LLN) |
| mean.FuzzySample | Expectation of a fuzzy random variable (sample) |
| n_cuts | Number of alpha levels of a fuzzy object |
| n_obs | Number of observations in a sample |
| rnorm_fuzzy | Sample fuzzy random variables from a fuzzy normal distribution |
| simulate.FuzzyCLT | Sample fuzzy random variables from a fuzzy normal distribution |
| simulate.FuzzyNormal | Sample fuzzy random variables from a fuzzy normal distribution |
| spectral_covariance | Scalar covariance (Feng-Hu-Shu integral) |
| spectral_covariance.FuzzySample | Scalar covariance (Feng-Hu-Shu integral) |
| spectral_variance | Scalar variance (Feng-Hu-Shu integral) |
| trapezoidal_fuzzy | Trapezoidal fuzzy number |
| triangular_fuzzy | Triangular fuzzy number |
| var.FuzzySample | Variance of a fuzzy random variable (sample) |
| variance | Variance of a fuzzy random variable (sample) |
| variance.FuzzySample | Variance of a fuzzy random variable (sample) |