repl.txt (1466B)
1 2 {{alias}}( t, a, b ) 3 Evaluates the moment-generating function (MGF) for a uniform 4 distribution with minimum support `a` and maximum support `b` at a value 5 `t`. 6 7 If provided `NaN` as any argument, the function returns `NaN`. 8 9 If provided `a >= b`, the function returns `NaN`. 10 11 Parameters 12 ---------- 13 t: number 14 Input value. 15 16 a: number 17 Minimum support. 18 19 b: number 20 Maximum support. 21 22 Returns 23 ------- 24 out: number 25 Evaluated MGF. 26 27 Examples 28 -------- 29 > var y = {{alias}}( 2.0, 0.0, 4.0 ) 30 ~372.495 31 > y = {{alias}}( -0.2, 0.0, 4.0 ) 32 ~0.688 33 > y = {{alias}}( 2.0, 0.0, 1.0 ) 34 ~3.195 35 > y = {{alias}}( 0.5, 3.0, 2.0 ) 36 NaN 37 > y = {{alias}}( 0.5, 3.0, 3.0 ) 38 NaN 39 > y = {{alias}}( NaN, 0.0, 1.0 ) 40 NaN 41 > y = {{alias}}( 0.0, NaN, 1.0 ) 42 NaN 43 > y = {{alias}}( 0.0, 0.0, NaN ) 44 NaN 45 46 47 {{alias}}.factory( a, b ) 48 Returns a function for evaluating the moment-generating function (MGF) 49 of a uniform distribution with minimum support `a` and maximum support `b`. 50 51 Parameters 52 ---------- 53 a: number 54 Minimum support. 55 56 b: number 57 Maximum support. 58 59 Returns 60 ------- 61 mgf: Function 62 Moment-generating function (MGF). 63 64 Examples 65 -------- 66 > var mymgf = {{alias}}.factory( 6.0, 7.0 ); 67 > var y = mymgf( 0.1 ) 68 ~1.916 69 > y = mymgf( 1.1 ) 70 ~1339.321 71 72 See Also 73 -------- 74