repl.txt (2324B)
1 2 {{alias}}( [a, b] ) 3 Returns an arcsine distribution object. 4 5 Parameters 6 ---------- 7 a: number (optional) 8 Minimum support. Must be less than `b`. Default: `0.0`. 9 10 b: number (optional) 11 Maximum support. Must be greater than `a`. Default: `1.0`. 12 13 Returns 14 ------- 15 arcsine: Object 16 Distribution instance. 17 18 arcsine.a: number 19 Minimum support. If set, the value must be less than `b`. 20 21 arcsine.b: number 22 Maximum support. If set, the value must be greater than `a`. 23 24 arcsine.entropy: number 25 Read-only property which returns the differential entropy. 26 27 arcsine.kurtosis: number 28 Read-only property which returns the excess kurtosis. 29 30 arcsine.mean: number 31 Read-only property which returns the expected value. 32 33 arcsine.median: number 34 Read-only property which returns the median. 35 36 arcsine.mode: number 37 Read-only property which returns the mode. 38 39 arcsine.skewness: number 40 Read-only property which returns the skewness. 41 42 arcsine.stdev: number 43 Read-only property which returns the standard deviation. 44 45 arcsine.variance: number 46 Read-only property which returns the variance. 47 48 arcsine.cdf: Function 49 Evaluates the cumulative distribution function (CDF). 50 51 arcsine.logcdf: Function 52 Evaluates the natural logarithm of the cumulative distribution function 53 (CDF). 54 55 arcsine.logpdf: Function 56 Evaluates the natural logarithm of the probability density function 57 (PDF). 58 59 arcsine.pdf: Function 60 Evaluates the probability density function (PDF). 61 62 arcsine.quantile: Function 63 Evaluates the quantile function at probability `p`. 64 65 Examples 66 -------- 67 > var arcsine = {{alias}}( 0.0, 1.0 ); 68 > arcsine.a 69 0.0 70 > arcsine.b 71 1.0 72 > arcsine.entropy 73 ~-0.242 74 > arcsine.kurtosis 75 -1.5 76 > arcsine.mean 77 0.5 78 > arcsine.median 79 0.5 80 > arcsine.mode 81 0.0 82 > arcsine.skewness 83 0.0 84 > arcsine.stdev 85 ~0.354 86 > arcsine.variance 87 0.125 88 > arcsine.cdf( 0.8 ) 89 ~0.705 90 > arcsine.logcdf( 0.8 ) 91 ~-0.35 92 > arcsine.logpdf( 0.4 ) 93 ~-0.431 94 > arcsine.pdf( 0.8 ) 95 ~0.796 96 > arcsine.quantile( 0.8 ) 97 ~0.905 98 99 See Also 100 -------- 101