time-to-botec

Benchmark sampling in different programming languages
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repl.txt (2476B)

      1 
      2 {{alias}}( [k, λ] )
      3     Returns a Weibull distribution object.
      4 
      5     Parameters
      6     ----------
      7     k: number (optional)
      8         Shape parameter. Must be greater than `0`. Default: `1.0`.
      9 
     10     λ: number (optional)
     11         Scale parameter. Must be greater than `0`. Default: `1.0`.
     12 
     13     Returns
     14     -------
     15     weibull: Object
     16         Distribution instance.
     17 
     18     weibull.k: number
     19         Shape parameter. If set, the value must be greater than `0`.
     20 
     21     weibull.lambda: number
     22         Scale parameter. If set, the value must be greater than `0`.
     23 
     24     weibull.entropy: number
     25         Read-only property which returns the differential entropy.
     26 
     27     weibull.kurtosis: number
     28         Read-only property which returns the excess kurtosis.
     29 
     30     weibull.mean: number
     31         Read-only property which returns the expected value.
     32 
     33     weibull.median: number
     34         Read-only property which returns the median.
     35 
     36     weibull.mode: number
     37         Read-only property which returns the mode.
     38 
     39     weibull.skewness: number
     40         Read-only property which returns the skewness.
     41 
     42     weibull.stdev: number
     43         Read-only property which returns the standard deviation.
     44 
     45     weibull.variance: number
     46         Read-only property which returns the variance.
     47 
     48     weibull.cdf: Function
     49         Evaluates the cumulative distribution function (CDF).
     50 
     51     weibull.logcdf: Function
     52         Evaluates the natural logarithm of the cumulative distribution function
     53         (CDF).
     54 
     55     weibull.logpdf: Function
     56         Evaluates the natural logarithm of the probability density function
     57         (PDF).
     58 
     59     weibull.mgf: Function
     60         Evaluates the moment-generating function (MGF).
     61 
     62     weibull.pdf: Function
     63         Evaluates the probability density function (PDF).
     64 
     65     weibull.quantile: Function
     66         Evaluates the quantile function at probability `p`.
     67 
     68     Examples
     69     --------
     70     > var weibull = {{alias}}( 6.0, 5.0 );
     71     > weibull.k
     72     6.0
     73     > weibull.lambda
     74     5.0
     75     > weibull.entropy
     76     ~1.299
     77     > weibull.kurtosis
     78     ~0.035
     79     > weibull.mean
     80     ~4.639
     81     > weibull.median
     82     ~4.704
     83     > weibull.mode
     84     ~4.85
     85     > weibull.skewness
     86     ~-0.373
     87     > weibull.stdev
     88     ~0.899
     89     > weibull.variance
     90     ~0.808
     91     > weibull.cdf( 3.0 )
     92     ~0.046
     93     > weibull.logcdf( 3.0 )
     94     ~-3.088
     95     > weibull.logpdf( 1.0 )
     96     ~-7.865
     97     > weibull.mgf( -0.5 )
     98     ~0.075
     99     > weibull.pdf( 3.0 )
    100     ~0.089
    101     > weibull.quantile( 0.8 )
    102     ~5.413
    103 
    104     See Also
    105     --------
    106