repl.txt (1955B)
1 2 {{alias}}( [μ, c] ) 3 Returns a Lévy distribution object. 4 5 Parameters 6 ---------- 7 μ: number (optional) 8 Location parameter. Default: `0.0`. 9 10 c: number (optional) 11 Scale parameter. Must be greater than `0`. Default: `1.0`. 12 13 Returns 14 ------- 15 levy: Object 16 Distribution instance. 17 18 levy.mu: number 19 Location parameter. 20 21 levy.c: number 22 Scale parameter. If set, the value must be greater than `0`. 23 24 levy.entropy: number 25 Read-only property which returns the differential entropy. 26 27 levy.mean: number 28 Read-only property which returns the expected value. 29 30 levy.median: number 31 Read-only property which returns the median. 32 33 levy.mode: number 34 Read-only property which returns the mode. 35 36 levy.stdev: number 37 Read-only property which returns the standard deviation. 38 39 levy.variance: number 40 Read-only property which returns the variance. 41 42 levy.cdf: Function 43 Evaluates the cumulative distribution function (CDF). 44 45 levy.logcdf: Function 46 Evaluates the natural logarithm of the cumulative distribution function 47 (CDF). 48 49 levy.logpdf: Function 50 Evaluates the natural logarithm of the probability density function 51 (PDF). 52 53 levy.pdf: Function 54 Evaluates the probability density function (PDF). 55 56 levy.quantile: Function 57 Evaluates the quantile function at probability `p`. 58 59 Examples 60 -------- 61 > var levy = {{alias}}( -2.0, 3.0 ); 62 > levy.mu 63 -2.0 64 > levy.c 65 3.0 66 > levy.entropy 67 ~4.423 68 > levy.mean 69 Infinity 70 > levy.median 71 ~4.594 72 > levy.mode 73 -1.0 74 > levy.stdev 75 Infinity 76 > levy.variance 77 Infinity 78 > levy.cdf( 0.8 ) 79 ~0.3 80 > levy.logcdf( 0.8 ) 81 ~-1.2 82 > levy.logpdf( 1.0 ) 83 ~-2.518 84 > levy.pdf( 1.0 ) 85 ~0.081 86 > levy.quantile( 0.8 ) 87 ~44.74 88 89 See Also 90 -------- 91