repl.txt (2109B)
1 2 {{alias}}( [α, β] ) 3 Returns an inverse gamma distribution object. 4 5 Parameters 6 ---------- 7 α: number (optional) 8 Shape parameter. Must be greater than `0`. Default: `1.0`. 9 10 β: number (optional) 11 Scale parameter. Must be greater than `0`. Default: `1.0`. 12 13 Returns 14 ------- 15 invgamma: Object 16 Distribution instance. 17 18 invgamma.alpha: number 19 Shape parameter. If set, the value must be greater than `0`. 20 21 invgamma.beta: number 22 Scale parameter. If set, the value must be greater than `0`. 23 24 invgamma.entropy: number 25 Read-only property which returns the differential entropy. 26 27 invgamma.kurtosis: number 28 Read-only property which returns the excess kurtosis. 29 30 invgamma.mean: number 31 Read-only property which returns the expected value. 32 33 invgamma.mode: number 34 Read-only property which returns the mode. 35 36 invgamma.skewness: number 37 Read-only property which returns the skewness. 38 39 invgamma.stdev: number 40 Read-only property which returns the standard deviation. 41 42 invgamma.variance: number 43 Read-only property which returns the variance. 44 45 invgamma.cdf: Function 46 Evaluates the cumulative distribution function (CDF). 47 48 invgamma.logpdf: Function 49 Evaluates the natural logarithm of the probability density function 50 (PDF). 51 52 invgamma.pdf: Function 53 Evaluates the probability density function (PDF). 54 55 invgamma.quantile: Function 56 Evaluates the quantile function at probability `p`. 57 58 Examples 59 -------- 60 > var invgamma = {{alias}}( 6.0, 5.0 ); 61 > invgamma.alpha 62 6.0 63 > invgamma.beta 64 5.0 65 > invgamma.entropy 66 ~0.454 67 > invgamma.kurtosis 68 19.0 69 > invgamma.mean 70 1.0 71 > invgamma.mode 72 ~0.714 73 > invgamma.skewness 74 ~2.667 75 > invgamma.stdev 76 0.5 77 > invgamma.variance 78 0.25 79 > invgamma.cdf( 0.8 ) 80 ~0.406 81 > invgamma.pdf( 1.0 ) 82 ~0.877 83 > invgamma.logpdf( 1.0 ) 84 ~-0.131 85 > invgamma.quantile( 0.8 ) 86 ~1.281 87 88 See Also 89 -------- 90