repl.txt (1420B)
1 2 {{alias}}( x, μ, σ ) 3 Evaluates the moment-generating function (MGF) for a normal distribution 4 with mean `μ` and standard deviation `σ` at a value `t`. 5 6 If provided `NaN` as any argument, the function returns `NaN`. 7 8 If provided `σ <= 0`, the function returns `NaN`. 9 10 Parameters 11 ---------- 12 x: number 13 Input value. 14 15 μ: number 16 Location parameter. 17 18 σ: number 19 Standard deviation. 20 21 Returns 22 ------- 23 out: number 24 Evaluated MGF. 25 26 Examples 27 -------- 28 > var y = {{alias}}( 2.0, 0.0, 1.0 ) 29 ~7.389 30 > y = {{alias}}( 0.0, 0.0, 1.0 ) 31 1.0 32 > y = {{alias}}( -1.0, 4.0, 2.0 ) 33 ~0.1353 34 > y = {{alias}}( NaN, 0.0, 1.0 ) 35 NaN 36 > y = {{alias}}( 0.0, NaN, 1.0 ) 37 NaN 38 > y = {{alias}}( 0.0, 0.0, NaN ) 39 NaN 40 > y = {{alias}}( 2.0, 0.0, 0.0 ) 41 NaN 42 43 44 {{alias}}.factory( μ, σ ) 45 Returns a function for evaluating the moment-generating function (MGF) of a 46 normal distribution with mean `μ` and standard deviation `σ`. 47 48 Parameters 49 ---------- 50 μ: number 51 Location parameter. 52 53 σ: number 54 Standard deviation. 55 56 Returns 57 ------- 58 mgf: Function 59 Moment-generating function (MGF). 60 61 Examples 62 -------- 63 > var myMGF = {{alias}}.factory( 4.0, 2.0 ); 64 > var y = myMGF( 1.0 ) 65 ~403.429 66 > y = myMGF( 0.5 ) 67 ~12.182 68 69 See Also 70 -------- 71