repl.txt (1711B)
1 2 {{alias}}( x, α, s, m ) 3 Evaluates the cumulative distribution function (CDF) for a Fréchet 4 distribution with shape parameter `α`, scale parameter `s`, and location 5 `m`. 6 7 If provided `NaN` as any argument, the function returns `NaN`. 8 9 If provided `α <= 0` or `s <= 0`, the function returns `NaN`. 10 11 Parameters 12 ---------- 13 x: number 14 Input value. 15 16 α: number 17 Shape parameter. 18 19 s: number 20 Scale parameter. 21 22 m: number 23 Location parameter. 24 25 Returns 26 ------- 27 out: number 28 Evaluated CDF. 29 30 Examples 31 -------- 32 > var y = {{alias}}( 10.0, 2.0, 3.0, 0.0 ) 33 ~0.914 34 > y = {{alias}}( -1.0, 2.0, 3.0, -3.0 ) 35 ~0.105 36 > y = {{alias}}( 2.5, 2.0, 1.0, 2.0 ) 37 ~0.018 38 > y = {{alias}}( NaN, 1.0, 1.0, 0.0 ) 39 NaN 40 > y = {{alias}}( 0.0, NaN, 1.0, 0.0 ) 41 NaN 42 > y = {{alias}}( 0.0, 1.0, NaN, 0.0 ) 43 NaN 44 > y = {{alias}}( 0.0, 1.0, 1.0, NaN ) 45 NaN 46 > y = {{alias}}( 0.0, -1.0, 1.0, 0.0 ) 47 NaN 48 > y = {{alias}}( 0.0, 1.0, -1.0, 0.0 ) 49 NaN 50 51 52 {{alias}}.factory( α, s, m ) 53 Returns a function for evaluating the cumulative distribution function (CDF) 54 of a Fréchet distribution with shape parameter `α`, scale parameter `s`, and 55 location `m`. 56 57 Parameters 58 ---------- 59 α: number 60 Shape parameter. 61 62 s: number 63 Scale parameter. 64 65 m: number 66 Location parameter. 67 68 Returns 69 ------- 70 cdf: Function 71 Cumulative distribution function (CDF). 72 73 Examples 74 -------- 75 > var myCDF = {{alias}}.factory( 3.0, 3.0, 5.0 ); 76 > var y = myCDF( 10.0 ) 77 ~0.806 78 > y = myCDF( 7.0 ) 79 ~0.034 80 81 See Also 82 -------- 83