repl.txt (1490B)
1 2 {{alias}}( t, μ, s ) 3 Evaluates the moment-generating function (MGF) for a logistic distribution 4 with location parameter `μ` and scale parameter `s` at a value `t`. 5 6 If provided `NaN` as any argument, the function returns `NaN`. 7 8 If provided `s < 0`, the function returns `NaN`. 9 10 Parameters 11 ---------- 12 t: number 13 Input value. 14 15 μ: number 16 Location parameter. 17 18 s: number 19 Scale parameter. 20 21 Returns 22 ------- 23 out: number 24 Evaluated MGF. 25 26 Examples 27 -------- 28 > var y = {{alias}}( 0.9, 0.0, 1.0 ) 29 ~9.15 30 > y = {{alias}}( 0.1, 4.0, 4.0 ) 31 ~1.971 32 > y = {{alias}}( -0.2, 4.0, 4.0 ) 33 ~1.921 34 > y = {{alias}}( 0.5, 0.0, -1.0 ) 35 NaN 36 > y = {{alias}}( 0.5, 0.0, 4.0 ) 37 Infinity 38 > y = {{alias}}( NaN, 0.0, 1.0 ) 39 NaN 40 > y = {{alias}}( 0.0, NaN, 1.0 ) 41 NaN 42 > y = {{alias}}( 0.0, 0.0, NaN ) 43 NaN 44 45 46 {{alias}}.factory( μ, s ) 47 Returns a function for evaluating the moment-generating function (MGF) 48 of a Logistic distribution with location parameter `μ` and scale parameter 49 `s`. 50 51 Parameters 52 ---------- 53 μ: number 54 Location parameter. 55 56 s: number 57 Scale parameter. 58 59 Returns 60 ------- 61 mgf: Function 62 Moment-generating function (MGF). 63 64 Examples 65 -------- 66 > var mymgf = {{alias}}.factory( 10.0, 0.5 ); 67 > var y = mymgf( 0.5 ) 68 ~164.846 69 > y = mymgf( 2.0 ) 70 Infinity 71 72 See Also 73 -------- 74