repl.txt (1692B)
1 2 {{alias}}( t, a, b, c ) 3 Evaluates the moment-generating function (MGF) for a triangular distribution 4 with minimum support `a`, maximum support `b`, and mode `c` at a value `t`. 5 6 If the condition `a <= c <= b` is not satisfied, the function returns `NaN`. 7 8 If either `a`, `b`, or `c` is `NaN`, the function returns `NaN`. 9 10 Parameters 11 ---------- 12 t: number 13 Input value. 14 15 a: number 16 Minimum support. 17 18 b: number 19 Maximum support. 20 21 c: number 22 Mode. 23 24 Returns 25 ------- 26 out: number 27 Evaluated MGF. 28 29 Examples 30 -------- 31 > var y = {{alias}}( 0.5, -1.0, 1.0, 0.0 ) 32 ~1.021 33 > y = {{alias}}( 0.5, -1.0, 1.0, 0.5 ) 34 ~1.111 35 > y = {{alias}}( -0.3, -20.0, 0.0, -2.0 ) 36 ~24.334 37 > y = {{alias}}( -2.0, -1.0, 1.0, 0.0 ) 38 ~1.381 39 > y = {{alias}}( NaN, 0.0, 1.0, 0.5 ) 40 NaN 41 > y = {{alias}}( 0.0, NaN, 1.0, 0.5 ) 42 NaN 43 > y = {{alias}}( 0.0, 0.0, NaN, 0.5 ) 44 NaN 45 > y = {{alias}}( 0.5, 1.0, 0.0, NaN ) 46 NaN 47 > y = {{alias}}( 0.5, 1.0, 0.0, 1.5 ) 48 NaN 49 50 51 {{alias}}.factory( a, b, c ) 52 Returns a function for evaluating the moment-generating function (MGF) of a 53 triangular distribution with minimum support `a`, maximum support `b`, and 54 mode `c`. 55 56 Parameters 57 ---------- 58 a: number 59 Minimum support. 60 61 b: number 62 Maximum support. 63 64 c: number 65 Mode. 66 67 Returns 68 ------- 69 mgf: Function 70 Moment-generating function (MGF). 71 72 Examples 73 -------- 74 > var mymgf = {{alias}}.factory( 0.0, 2.0, 1.0 ); 75 > var y = mymgf( -1.0 ) 76 ~0.3996 77 > y = mymgf( 2.0 ) 78 ~10.205 79 80 See Also 81 -------- 82 83