repl.txt (2245B)
1 2 {{alias}}( [μ, s] ) 3 Returns a raised cosine distribution object. 4 5 Parameters 6 ---------- 7 μ: number (optional) 8 Location parameter. Default: `0.0`. 9 10 s: number (optional) 11 Scale parameter. Must be greater than `0`. Default: `1.0`. 12 13 Returns 14 ------- 15 cosine: Object 16 Distribution instance. 17 18 cosine.mu: number 19 Location parameter. 20 21 cosine.s: number 22 Scale parameter. If set, the value must be greater than `0`. 23 24 cosine.kurtosis: number 25 Read-only property which returns the excess kurtosis. 26 27 cosine.mean: number 28 Read-only property which returns the expected value. 29 30 cosine.median: number 31 Read-only property which returns the median. 32 33 cosine.mode: number 34 Read-only property which returns the mode. 35 36 cosine.skewness: number 37 Read-only property which returns the skewness. 38 39 cosine.stdev: number 40 Read-only property which returns the standard deviation. 41 42 cosine.variance: number 43 Read-only property which returns the variance. 44 45 cosine.cdf: Function 46 Evaluates the cumulative distribution function (CDF). 47 48 cosine.logcdf: Function 49 Evaluates the natural logarithm of the cumulative distribution function 50 (CDF). 51 52 cosine.logpdf: Function 53 Evaluates the natural logarithm of the probability density function 54 (PDF). 55 56 cosine.mgf: Function 57 Evaluates the moment-generating function (MGF). 58 59 cosine.pdf: Function 60 Evaluates the probability density function (PDF). 61 62 cosine.quantile: Function 63 Evaluates the quantile function at probability `p`. 64 65 Examples 66 -------- 67 > var cosine = {{alias}}( -2.0, 3.0 ); 68 > cosine.mu 69 -2.0 70 > cosine.s 71 3.0 72 > cosine.kurtosis 73 ~-0.594 74 > cosine.mean 75 -2.0 76 > cosine.median 77 -2.0 78 > cosine.mode 79 -2.0 80 > cosine.skewness 81 0.0 82 > cosine.stdev 83 ~1.085 84 > cosine.variance 85 ~1.176 86 > cosine.cdf( 0.5 ) 87 ~0.996 88 > cosine.logcdf( 0.5 ) 89 ~-0.004 90 > cosine.logpdf( -1.0 ) 91 ~-1.386 92 > cosine.mgf( 0.2 ) 93 ~0.686 94 > cosine.pdf( -2.0 ) 95 ~0.333 96 > cosine.quantile( 0.9 ) 97 ~-0.553 98 99 See Also 100 -------- 101