time-to-botec

Benchmark sampling in different programming languages
Log | Files | Refs | README

repl.txt (2382B)

      1 
      2 {{alias}}( [λ] )
      3     Returns an exponential distribution object.
      4 
      5     Parameters
      6     ----------
      7     λ: number (optional)
      8         Rate parameter. Must be greater than `0`. Default: `1.0`.
      9 
     10     Returns
     11     -------
     12     exponential: Object
     13         Distribution instance.
     14 
     15     exponential.lambda: number
     16         Rate parameter. If set, the value must be greater than `0`.
     17 
     18     exponential.entropy: number
     19         Read-only property which returns the differential entropy.
     20 
     21     exponential.kurtosis: number
     22         Read-only property which returns the excess kurtosis.
     23 
     24     exponential.mean: number
     25         Read-only property which returns the expected value.
     26 
     27     exponential.median: number
     28         Read-only property which returns the median.
     29 
     30     exponential.mode: number
     31         Read-only property which returns the mode.
     32 
     33     exponential.skewness: number
     34         Read-only property which returns the skewness.
     35 
     36     exponential.stdev: number
     37         Read-only property which returns the standard deviation.
     38 
     39     exponential.variance: number
     40         Read-only property which returns the variance.
     41 
     42     exponential.cdf: Function
     43         Evaluates the cumulative distribution function (CDF).
     44 
     45     exponential.logcdf: Function
     46         Evaluates the natural logarithm of the cumulative distribution function
     47         (CDF).
     48 
     49     exponential.logpdf: Function
     50         Evaluates the natural logarithm of the probability density function
     51         (PDF).
     52 
     53     exponential.mgf: Function
     54         Evaluates the moment-generating function (MGF).
     55 
     56     exponential.pdf: Function
     57         Evaluates the probability density function (PDF).
     58 
     59     exponential.quantile: Function
     60         Evaluates the quantile function at probability `p`.
     61 
     62     Examples
     63     --------
     64     > var exponential = {{alias}}( 6.0 );
     65     > exponential.lambda
     66     6.0
     67     > exponential.entropy
     68     ~-0.792
     69     > exponential.kurtosis
     70     6.0
     71     > exponential.mean
     72     ~0.167
     73     > exponential.median
     74     ~0.116
     75     > exponential.mode
     76     0.0
     77     > exponential.skewness
     78     2.0
     79     > exponential.stdev
     80     ~0.167
     81     > exponential.variance
     82     ~0.028
     83     > exponential.cdf( 1.0 )
     84     ~0.998
     85     > exponential.logcdf( 1.0 )
     86     ~-0.002
     87     > exponential.logpdf( 1.5 )
     88     ~-7.208
     89     > exponential.mgf( -0.5 )
     90     ~0.923
     91     > exponential.pdf( 1.5 )
     92     ~0.001
     93     > exponential.quantile( 0.5 )
     94     ~0.116
     95 
     96     See Also
     97     --------
     98