repl.txt (1691B)
1 2 {{alias}}( t, n, p ) 3 Evaluates the moment-generating function (MGF) for a binomial distribution 4 with number of trials `n` and success probability `p` at a value `t`. 5 6 If provided `NaN` as any argument, the function returns `NaN`. 7 8 If provided a number of trials `n` which is not a nonnegative integer, the 9 function returns `NaN`. 10 11 If `p < 0` or `p > 1`, the function returns `NaN`. 12 13 Parameters 14 ---------- 15 t: number 16 Input value. 17 18 n: integer 19 Number of trials. 20 21 p: number 22 Success probability. 23 24 Returns 25 ------- 26 out: number 27 Evaluated MGF. 28 29 Examples 30 -------- 31 > var y = {{alias}}( 0.5, 20, 0.2 ) 32 ~11.471 33 > y = {{alias}}( 5.0, 20, 0.2 ) 34 ~4.798e+29 35 > y = {{alias}}( 0.9, 10, 0.4 ) 36 ~99.338 37 > y = {{alias}}( 0.0, 10, 0.4 ) 38 1.0 39 40 > y = {{alias}}( NaN, 20, 0.5 ) 41 NaN 42 > y = {{alias}}( 0.0, NaN, 0.5 ) 43 NaN 44 > y = {{alias}}( 0.0, 20, NaN ) 45 NaN 46 47 > y = {{alias}}( 2.0, 1.5, 0.5 ) 48 NaN 49 > y = {{alias}}( 2.0, -2.0, 0.5 ) 50 NaN 51 > y = {{alias}}( 2.0, 20, -1.0 ) 52 NaN 53 > y = {{alias}}( 2.0, 20, 1.5 ) 54 NaN 55 56 57 {{alias}}.factory( n, p ) 58 Returns a function for evaluating the moment-generating function (MGF) of a 59 binomial distribution with number of trials `n` and success probability `p`. 60 61 Parameters 62 ---------- 63 n: integer 64 Number of trials. 65 66 p: number 67 Success probability. 68 69 Returns 70 ------- 71 mgf: Function 72 Moment-generating function (MGF). 73 74 Examples 75 -------- 76 > var myMGF = {{alias}}.factory( 10, 0.5 ); 77 > var y = myMGF( 0.3 ) 78 ~5.013 79 80 See Also 81 -------- 82